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Springer, 2014. — 257 p. — ISBN 3642315429. This book provides an introduction to symplectic field theory, a new and important subject which is currently being developed. The starting point of this theory are compactness results for holomorphic curves established in the last decade. Riemann Surfaces Smooth and Noded Riemann Surfaces Riemann Surfaces and Hyperbolic...
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Princeton University Press , 2016 - 618 p. The p-adic Simpson correspondence, recently initiated by Gerd Faltings, aims at describing all p-adic representations of the fundamental group of a proper smooth variety over a p-adic field in terms of linear algebra--namely Higgs bundles. This book undertakes a systematic development of the theory following two new approaches, one by...
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Springer, 2003 — 656 p. 2nd edition. The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid mechanics, electromagnetism,...
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IOP Publishing Ltd, 1997. — 306 p. The aim of this textbook is to provide the reader with an elementary introduction to fractal geometry and chaotic dynamics. These are subjects which have attracted immense interest throughout the whole range of numerate disciplines, including science, engineering, medicine, economics, and social science, to name but a few. The book may be used...
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Dover Publications, 2012. — 416 pages. (Dover Books on Mathematics) ISBN: 0486498514 This richly detailed overview surveys the evolution of geometrical ideas and the development of the concepts of modern geometry from ancient times to the present. Topics include projective, Euclidean, and non-Euclidean geometry as well as the role of geometry in Newtonian physics, calculus,...
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10th Edition. — Arihant Prakashan, 2018. — 288 p. — (Skills in Mathematics for JEE MAIN & ADVANCED). — ISBN 9312146939. Skills in Mathematics series of books for JEE Main and Advanced that serve as the comprehensive textbook, to covers all types and formats of questions with Remarks and Detailed explanations in sync with the latest pattern of JEE exam. Vector and 3D Geometry by...
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Providence: American Mathematical Society, 2017. — 636 p. This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and unified treatment of several recent developments in the field, and brings forth many new ideas and results. It has two parts, each divided into eight...
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Издательство Springer, 2001, -389 pp. Japanese Conference, JCDCG 2000, Tokyo, Japan, November 22-25, 2000, Revised Papers. The Japan Conference on Discrete and Computational Geometry (JCDCG) has been held annually since 1997. One of the goals of this conference series is to bring together Japanese researchers from both academia and industry with researchers in these fields...
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Germany: Springer-Verlag Berlin Heidelberg, 2005. - 542 p. This classic geometry text explores the theory of 3-dimensional convex polyhedra in a unique fashion, with exceptional detail. Vital and clearly written, the book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. This...
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Springer, 2016. — 594 p. — (Springer Monographs in Mathematics). — ISBN 978-3-319-24335-1. This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book....
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New York: Springer, 2016. — 373 p. — Introduces information geometry intuitively to readers without knowledge of differential geometry Includes hot topics of applications to machine learning, signal processing, neural networks, and optimization Applies information geometry to statistical inference and time-series analysis This is the first comprehensive book on information...
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New York: Springer, 2016. - 373p. Introduces information geometry intuitively to readers without knowledge of differential geometry Includes hot topics of applications to machine learning, signal processing, neural networks, and optimization Applies information geometry to statistical inference and time-series analysis This is the first comprehensive book on information...
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  • 6,14 МБ
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Oxford: Oxford University Press, 2001. - 216p. Information geometry provides the mathematical sciences with a new framework of analysis. It has emerged from the investigation of the natural differential geometric structure on manifolds of probability distributions, which consists of a Riemannian metric defined by the Fisher information and a one-parameter family of affine...
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Springer-Verlag, 2018. — 460 p. — (Bolyai Society Mathematical Studies 27). — ISBN 978-3-662-57412-6. This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and...
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The Mathematical Association of America, 2013. — 520 p. New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors Tom Apostol and Mamikon Mnatsakanian. It serves as a capstone to an amazing collaboration. Apostol and Mamikon provide fresh and powerful insights into geometry that requires only a modest...
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The Mathematical Association of America, 2012. — 529 p. — ISBN 978-0-88385-354-2. New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors Tom Apostol and Mamikon Mnatsakanian. It serves as a capstone to an amazing collaboration. Apostol and Mamikon provide fresh and powerful insights into geometry that requires...
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Cambridge: Cambridge University Press, 2017. — 378 p. The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten...
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Dover Publications, 2010. - 272 pages. Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition....
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Text book, Prinston University, 221p, Preliminary Notions, Affine and Projective Geometry, Symplectic and Orthogonal Geometry, The General Linear Group, The Structure of Symplectic and Orthogonal Groups.
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Dover Publications, 2016 - 214 p. It’s hard for me to fathom that it’s been close to forty years ago since my early graduate school days, when I first encountered Emil Artin; I wonder if he’s as big a player now as he was then. I’m inclined to think not, given that many of the books he was known for now find themselves in competition with a plethora of texts addressing current...
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Berlin: Springer, 2008. - 262p. This volume will be useful to practising scientists and students working in the application of statistical models to real materials or to processes with perturbations of a Poisson process, a uniform process, or a state of independence for a bivariate process. We use information geometry to provide a common differential geometric framework for a...
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Springer, 2002. - 357 pages. Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michèle Audin, professor at the university of Strasbourg has written a book allowing them to remedy this situation and, and starting from linear algebra extend their knowledge of affine, euclidian and projective geometry, conic and quadric...
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Springer, 2017. — 411 p. — ISBN 978-3-319-56477-7 The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both...
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Springer, 2018. — 450 p. — (Springer Proceedings in Mathematics & Statistics). — ISBN 978-3-319-97797-3. Information Geometry and its Applications, which was held on June 12–17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari’s 80th birthday and was organized by the Czech Academy of Sciences’ Institute of Information Theory and Automation. The conference...
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Springer, 2018. — 450 p. — (Springer Proceedings in Mathematics & Statistics). – ISBN 978-3-319-97797-3. Information Geometry and its Applications, which was held on June 12–17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari’s 80th birthday and was organized by the Czech Academy of Sciences’ Institute of Information Theory and Automation. The conference...
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Springer International Publishing AG, 2017. — 411 p. — (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 64) — ISBN 3319564773. The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory,...
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UK, USA: World Scientific, 2019. — 235 p. — ISBN-10 9814525650. Fractional Brownian Motion (FBM) is a very classical continuous self-similar Gaussian field with stationary increments. In 1940, some works of Kolmogorov on turbulence led him to introduce this quite natural extension of Brownian Motion, which, in contrast with the latter, has correlated increments. However, the...
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Schaum Publishing Co. 1967. 243 p. — ISBN: 0070026572. Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential...
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Basel: Birkhäuser, 2004. — 219 p. The aim of this monograph is to introduce the reader to modern methods of projective geometry involving certain techniques of formal geometry. Some of these methods are illustrated in the first part through the proofs of a number of results of a rather classical flavor, involving in a crucial way the first infinitesimal neighbourhood of a given...
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Springer, 2012. — 330 p. This book reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. Features: presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite difference...
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Singapore: Imperial College Press. – 2007. – 521 p. (Imperial College Press Advanced Texts in Mathematics – Vol. 1). This book is divided into two parts. The first part is about Sign-Changing Yamabe-type problems. A Morse Lemma at infinity, under reasonable basic conjectures, is proved for such problems. This work is an attempt to define a new area of research for nonlinear...
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Cambridge: The University Press, 1922. — 196 p. Abstract Geometry Propositions of Incidence The correspondence of the points of two lines. Pappus' theorem Introduction of algebraic symbols Real Geometry The Propositions of Incidence. Introduction of a plane, and of a space The extension of the Real Geometry by means of Postulated Elements A deduction of Pappus'...
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Cambridge: The University Press, 1922. — 262 p. Preliminary General properties of conics Properties relative to two points of reference The equation of a line, and of a conic Restriction of the algebraic symbols. The distinction of real and imaginary elements Properties relative to an absolute conic. The notion of distance. Non-Euclidean geometry Note I. On...
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New York: Springer, 2016. — 534 p. This volume grew out of two Simons Symposia on "Nonarchimedean and tropical geometry" which took place on the island of St. John in April 2013 and in Puerto Rico in February 2015. Each meeting gathered a small group of experts working near the interface between tropical geometry and nonarchimedean analytic spaces for a series of inspiring and...
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New York: Pitman Publishing, 1980. - 235 p. Contents : Preface Geometrical inequalities Geometrical inequalities in the Euclidean space Introduction The Payne-Weinberger inequality Parallel sets Parallel curves in the plane On a class of isoperimetric inequalities in the plane Definitions Inequalities for sectors Rotation of a curve Main results Isoperimetric inequalities on...
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Springer, 2015. — 339 p. This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five topical sections: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. Each...
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Birkhauser, 1995. — 250 p. Fractal geometry is a new and promising field for researchers from different disciplines such as mathematics, physics, chemistry, biology and medicine. It is used to model complicated natural and technical phenomena. The most convincing models contain an element of randomness so that the combination of fractal geometry and stochastics arises in between...
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Birkhauser, 2000. — 286 p. The second conference on Fractal Geometry and Stochastics was held at Greifs­ wald/Koserow, Germany from August 28 to September 2, 1998. Four years had passed after the first conference with this theme and during this period the interest in the subject had rapidly increased. More than one hundred mathematicians from twenty-two countries attended the...
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Birkhauser, 2009. — 292 p. Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to...
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Birkhauser, 2004. — 264 p. Fractal geometry is used to model complicated natural and technical phenomena in various disciplines like physics, biology, finance, and medicine. Since most convincing models contain an element of randomness, stochastics enters the area in a natural way. This book documents the establishment of fractal geometry as a substantial mathematical theory. As...
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Springer Basel, 2013. — 62 p. The essential question that fractal dimensions attempt to answer is about the scales in Nature. For a system as non-idealistic and complex as a protein, studying scale-invariance becomes particularly important. Fractal Symmetry of Protein Exterior investigates the diverse facets of the various scales at which we describe protein biophysical and...
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Cambridge University Press, 2010. — 335 p. The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra...
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Springer, 2010. - 311 Pages. Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number and taking the reader on a...
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Springer, 2012. - 338 Pages. ISBN: 3642309631. 2nd edition Based on a series of lectures for adult students, this lively and entertaining book proves that, far from being a dusty, dull subject, geometry is in fact full of beauty and fascination. The author's infectious enthusiasm is put to use in explaining many of the key concepts in the field, starting with the Golden Number...
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  • 5,17 МБ
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Cambridge University Press, 2006. — 464 p. Introduction. The chaos game. Attractors of iterated function systems. Another chaos game. Codes, metrics and topologies. Introduction. Points and spaces. Functions, mappings and transformations. Addresses and code spaces. Metric spaces. Metrics on code space. Cauchy sequences, limits and continuity. Topological spaces....
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Morgan Kaufmann, 2000. - 534 pages. This volume is the second edition of the highly successful Fractals Everywhere. The Focus of this text is how fractal geometry can be used to model real objects in the physical world. This edition of Fractals Everywhere is the most up-to-date fractal textbook available today. Fractals Everywhere may be supplemented by Michael F....
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The new edition features additional problems and tools emphasizing fractal applications, as well as a new answer key to the text exercises. Fractals Everywhere is the most comprehensive, up-to-date volume on fractals available today.
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Horwood Publishing, 2001. - 225 Pages. ISBN: 1898563691 This book addresses a neglected mathematical area where basic geometry underpins undergraduate and graduate courses. Its interdisciplinary portfolio of applications includes computational geometry, differential geometry, mathematical modelling, computer science, computer-aided design of systems in mechanical, structural...
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Imperial College Press, 2011. - 328 pages. This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well...
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Springer, 2008. — 197 p. — (Springer Monographs in Mathematics). — ISBN 978-0-387-76364-4. This book is a monograph on unitals embedded in finite projective planes. Unitals are an interesting structure found in square order projective planes, and numerous research articles constructing and discussing these structures have appeared in print. More importantly, there still are many...
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Academic Press, 1994. - 432 Pages. Fractal Cities is the pioneering study of the development and use of fractal geometry for understanding and planning the physical form of cities, showing how this geometry enables cities to be simulated throughcomputer graphics. The book explains how the structure of cities evolve in ways which at first sight may appear irregular, but when...
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Berlin: Springer, 1992. — 343 p. In recent years hyperbolic geometry has been the object and the preparation for extensive study that has produced important and often amazing results and also opened up new questions. The book concerns the geometry of manifolds and in particular hyperbolic manifolds; its aim is to provide an exposition of some fundamental results, and to be as far...
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Birkhauser, 2012. - 326 Pages. ISBN: 3034804199 The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2 It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and general distances of X. Also for...
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Springer, 2017. — 203 p. Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM). The recent explosion of IgA, strongly tying Computer Aided Geometry Design to Analysis, does not easily apply to the rich variety of complex shapes that...
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Prentice Hall, 2000. — 224 pages. — ISBN: 0130871214 College Geometry offers readers a deep understanding of the basic results in plane geometry and how they are used. Its unique coverage helps readers master Euclidean geometry, in preparation for non- Euclidean geometry. Focus on plane Euclidean geometry, reviewing high school level geometry and coverage of more advanced...
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Springer, 1998. — 165 p. This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and...
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Springer, 2007 — 824 p. This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field.
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Springer, 2002. — 872 p. OCR This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field.
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Springer, 2010. - 860 pages. Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating concept for the present book is that it offers readers the elements of a modern geometric culture by means of a whole series of...
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  • 15,26 МБ
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Springer, 1984. - 280 p. With 224 Illustrations. ISBN 0387909710. The textbook Geometry, published in French by CEDIC/Fernand Nathan and in English by Springer-Verlag (scheduled for 1985) was very favorably received. Nevertheless, many readers found the text too concise and the exercises at the end of each chapter too difficult, and regretted the absence of any hints for the...
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Springer, 2018. — 187 p. — (Compact Textbooks in Mathematics). — ISBN 978-3-030-01776-7. The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from...
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  • 2,98 МБ
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The great encyclopedic of the Middle Ages Abu Raihon Muhammad ibn Ahmad al-Beruniy, who had been famous with the pseudonym "Ptolemy". Measuring the Distance on the Ground and the Height of a Mountain. The Distances between the Celestial Bodies. 14 pages. Content: Preface Introduction Measuring the Distance on the Ground and the Height of a Mountain Measuring of the Earth...
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Cambridge: Cambridge University Press, 1998. - 134 p. This book introduces the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader to understand and construct proofs and write clear mathematics. The authors achieve this by exploring set theory, combinatorics and number theory, which include many fundamental...
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  • 9,74 МБ
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N.-Y.: Marcel Dekker, 2003. - 492p. Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the AMS in New Orleans, Louisiana. Discrete Geometry analyzes packings and...
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Springer, 2010. - 166 pages. This multipurpose book can serve as a textbook for a semester long graduate level course giving a brief introduction to Discrete Geometry. It also can serve as a research monograph that leads the reader to the frontiers of the most recent research developments in the classical core part of discrete geometry. Finally, the forty-some selected research...
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  • 1,68 МБ
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Springer International Publishing AG, 2018. — 125 p. — (Springer INdAM Series 25). — ISBN 3319718339. This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent...
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Springer, 1991, ISBN 3540548912, 328 pages. This volume presents the proceedings of the Seventh International Workshop on Computational Geometry, CG'91, held at the University of Berne, Switzerland, March 21/22, 1991. Computational geometry is not a precisely defined field. Often, it is understood as a nearly mathematical discipline, dealing mainly with complexity questions...
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  • 4,07 МБ
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Academic Press Inc., 1964. — 287 p. Our purpose in writing this book is to put material which we found stimulating and interesting as graduate students into form. It is intended for individual study and for use as a text for graduate level courses such as the one from which this material stems, given by Professor W. Ambrose at MIT in 1958-1959. Previously the material had been...
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  • 11,69 МБ
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Издательство Horwood Publishing, 2002, —245 p. International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science...
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  • 4,51 МБ
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Издательство Horwood Publishing, 2002, — 245 p. International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science...
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  • 3,30 МБ
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W. H. Freeman and Company, San Francisco, USA, 2017. — 347 p. — ISBN: 0486639622. "On the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' " - American Mathematical Monthly Elegant and original, this exposition explores the foundations and development of both Euclidean and non-Euclidean geometry, particularly the...
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London: Dover Publications, 2017. — 208 p. Elegant and original, this exposition explores the foundations and development of both Euclidean and non-Euclidean geometry, particularly the postulational geometry of planes. Emphasis is placed upon the coordination of affine and projective planes as well as the basic unity of algebra and geometry. Geared toward undergraduate and...
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Springer, 2013. — 323 p. — ISBN 978-1-4614-6481-5. This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral...
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  • 3,08 МБ
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Springer International Publishing AG, 2017. — 267 p. — (Simons Symposia) — ISBN: 9783319497624. Geometry Over Nonclosed Fields is a reference to an active area at the interface of classical algebraic geometry and arithmetic geometry. In recent years, there has been a rapid exchange of ideas between these domains: many questions concerning integral or rational solutions of...
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  • 4,02 МБ
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Springer International Publishing AG, 2017. — 267 p. — (Simons Symposia) — ISBN: 9783319497624 Geometry Over Nonclosed Fields is a reference to an active area at the interface of classical algebraic geometry and arithmetic geometry. In recent years, there has been a rapid exchange of ideas between these domains: many questions concerning integral or rational solutions of...
  • №75
  • 3,95 МБ
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Springer International Publishing AG, 2013. — 323 p. — ISBN 978-1-4614-6481-5. This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of...
  • №76
  • 2,97 МБ
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Springer International Publishing AG, 2017. — 267 p. — ISBN: 9783319497624. — (Simons Symposia). Geometry Over Nonclosed Fields is a reference to an active area at the interface of classical algebraic geometry and arithmetic geometry. In recent years, there has been a rapid exchange of ideas between these domains: many questions concerning integral or rational solutions of...
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  • 2,41 МБ
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Chicago: The Open Court Publishing Company, 1912. – 268 p. Authorised English translation with additional appendices by H. Carslaw with an introduction by F. Enriques. Table of Contents Introduction Translator’s Preface Author’s Preface The Attempts to prove Euclid’s Parallel Postulate. The Forerunners of Non-Euclidean Geometry The Founders of Non-Euclidean Geometry...
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Dover Publications Inc., 1958. — 265 p. + supplement. Bonola’s Non-Euclidean Geometry is an elementary historical and critical study of the development of that subject. Based upon his article in Enriques’ collection of Monographs on Questions of Elementary Geometry', in its final form it still retains its elementary character, and only in the last chapter is a knowledge of more...
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Издательство Springer, 2014, -410 pp. Geometric Trilogy I. An Axiomatic Approach to Geometry (/file/1440126/). Geometric Trilogy II. An Algebraic Approach to Geometry (/file/1440128/). Geometric Trilogy III. An Axiomatic Approach to Geometry (/file/1440130/). The reader is invited to immerse himself in a love story which has been unfolding for 35 centuries: the love story between...
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Издательство Springer, 2014, -440 pp. Geometric Trilogy I. An Axiomatic Approach to Geometry (/file/1440126/). Geometric Trilogy II. An Algebraic Approach to Geometry (/file/1440128/). Geometric Trilogy III. An Axiomatic Approach to Geometry (/file/1440130/). The reader is invited to immerse himself in a love story which has been unfolding for 35 centuries: the love story between...
  • №81
  • 7,23 МБ
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Издательство Springer, 2014, -462 pp. Geometric Trilogy I. An Axiomatic Approach to Geometry (/file/1440126/). Geometric Trilogy II. An Algebraic Approach to Geometry (/file/1440128/). Geometric Trilogy III. An Axiomatic Approach to Geometry (/file/1440130/). The reader is invited to immerse himself in a love story which has been unfolding for 35 centuries: the love story between...
  • №82
  • 21,16 МБ
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Springer Science+ Business Media, LLC, 2010. — 167 p. — (Universitext) — ISBN 0387790659 Starting with basic principles, this book provides a comprehensive classification of the various types of finite reflection groups and describes their underlying geometric properties. Numerous exercises at various levels of difficulty are included. Mirrors and Reflections presents an intuitive...
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Dover Publications, 2018. — 464 р. — ISBN 978-0486828091. In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological...
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Springer Science+Business Media, 1996. — 195 Pages. ISBN: 1461269180 Fractal geometry is the formal study of mathematical shapes that display a progression of never-ending, self-similar, meandering detail from large to small scales. It has the descriptive power to capture, explain, and enhance one's appreciation of and control over complex diversity. Natural shapes and...
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Student Edition. Publisher: Glencoe/McGraw-Hill, 2007. - 960 pages. Glencoe Geometry is a key program in our vertically aligned high school mathematics series developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on today’s high-stakes assessments.
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Oxford: Oxford University Press, 2007. — 620 p. Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate relationship between Sasakian and Kähler geometries, especially when the Kähler structure is that of an algebraic variety. The book is divided into three parts. The first five chapters carefully prepare the stage for the proper introduction...
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Springer International Publishing AG, 2017. — 185 p. — (Springer INdAM Series 26). — ISBN 3319731254. The book collects the most relevant outcomes from the INdAM Workshop "Geometric Function Theory in Higher Dimension" held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In...
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Springer International Publishing AG, 2017. — 185 p. — (Springer INdAM Series 26). — ISBN 3319731254. The book collects the most relevant outcomes from the INdAM Workshop "Geometric Function Theory in Higher Dimension" held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In...
  • №89
  • 2,14 МБ
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Cambridge University Press, 2012. — 587 p. (2d edition) This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive,...
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  • 11,13 МБ
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Basel: Birkhäuser, 2012. — 721 p. — (Modern Birkhäuser Classics). — ISBN: 303480492X, 9783034804929. In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and a topic of research to this day. Arising...
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Springer, 2004. — 473 p. Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap; this observation led to the idea of composing a book on Geometric Modeling for Scientific Visualization. Experts in both fields from all over the world have been invited...
  • №92
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Durham: Duke University, 1993. — 170 p. A series of nine lectures on Lie groups and symplectic geometry delivered at the Regional Geometry Institute in Park City, Utah, 24 June-20 July 1991. Introduction: Symmetry and Differential Equations First notions of differential equations with symmetry, classical "integration methods." Examples: Motion in a central force field,...
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Springer, 2013. — 596 p. — ISBN: 3642344526, 9783642344527. This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on...
  • №94
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European Mathematical Society, Switzerland, 2007. — 213 p. — (EMS Monographs in Mathematics) — ISBN: 3037190361 Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local geometry does not come into play. An important class of model spaces are the hyperbolic spaces (in the sense of Gromov), for which the asymptotic geometry is nicely...
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42 pages. Lecture Notes. Contents: - A Crash Course in Group Theory. - Model Geometries in Dimension Two. - Tesssllstions. - Appendix — What is Geometry?
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Springer, 2001. — 224 p. — ISBN 0075-8434. The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian...
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Providence: American Mathematical Society, 2017. — 119 p. This is the final volume of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and...
  • №98
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Birkhäuser, 1992. - 315 pages. Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is...
  • №99
  • 10,04 МБ
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Zurich: European Mathematical Society, 2011. — 636 p. Projective geometry is concerned with the properties of figures that are invariant by projecting and taking sections. It is considered one of the most beautiful parts of geometry and plays a central role because its specializations cover the whole of the affine, Euclidean and non-Euclidean geometries. The natural extension...
  • №100
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Springer International Publishing, Switzerland, 2014. — 445 p. — (Lecture Notes of the Unione Matematica Italiana 15) — ISBN: 3319065130 The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In...
  • №101
  • 3,16 МБ
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North-Holland Publishing Company, 1975. — 181 pages. In this book we study complete Riemannian manifolds by developing techniques for comparing the geometry of a general manifold M with that of a simply connected model spaceM_H of constant curvature H. A typical conclusion is that M retains particular geometrical properties of the model space under the assumption that its...
  • №102
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Springer, 2015. — 342 p. — ISBN: 3319120980, 9783319120980 This book provides comprehensive coverage of the modern methods for geometric problems in the computing sciences. It also covers concurrent topics in data sciences including geometric processing, manifold learning, Google search, cloud data, and R-tree for wireless networks and BigData. The author investigates digital...
  • №103
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Chapman and Hall/CRC, 2012, ISBN 1584887303, 410 pages. Written by authors at the forefront of modern algorithms research, Delaunay Mesh Generation demonstrates the power and versatility of Delaunay meshers in tackling complex geometric domains ranging from polyhedra with internal boundaries to piecewise smooth surfaces. Covering both volume and surface meshes, the authors...
  • №104
  • 5,27 МБ
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Springer International Publishing AG, 2017. — 341 p. — (Springer INdAM Series 23) — ISBN 978-3-319-67518-3. The volume is a follow-up to the INdAM meeting “Special metrics and quaternionic geometry” held in Rome in November 2015. It offers a panoramic view of a selection of cutting-edge topics in differential geometry, including 4-manifolds, quaternionic and octonionic geometry,...
  • №105
  • 4,52 МБ
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Princeton University Press, 2017. — 456 p. — ISBN-10 0691158665. Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincare, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics...
  • №106
  • 90,34 МБ
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Paris: Société mathématique de France, 1988. — 158 p. These notes originated at a seminar that was held during July and August of 1987 at Salt Lake City. The original aim of the seminar was to get an overview of the following three topics: 1. Recent advances in the classification program of three (and higher) dimensional algebraic varieties. 2. Existence of rational curves and...
  • №107
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Providence: American Mathematical Society, 2017. — 442 p. Groups arise naturally as symmetries of geometric objects, and so groups can be used to understand geometry and topology. Conversely, one can study abstract groups by using geometric techniques and ultimately by treating groups themselves as geometric objects. This book explores these connections between group theory and...
  • №108
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Published Online. — 1994 — 654 p. This book is the English version of the French "Geometrie non commutative" published by InterEditions Paris (1990). Preface Introduction Noncommutative Spaces and Measure Theory Heisenberg and the Noncommutative Algebra of Physical Quantities Statistical State of a Macroscopic System and Quantum Statistical Mechanics Modular Theory and the...
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3rd ed. — Springer-Verlag, 1993. — 705 p. The third edition of this book continues to pursue the question, what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the classification of...
  • №110
  • 8,59 МБ
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Constable and Co, 1914. - 524 pages. Classic, well-thought-out examination of the function of the spiral, or helix, in both nature and art. Demonstrates how spiral is fundamental to structure of shells, leaves, horns, human body, drawings of Leonardo, Leaning Tower of Pisa, more. 426 illustrations. A fascinating and comprehensive investigation into the perfect geometry of...
  • №111
  • 22,36 МБ
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New York: Springer, 1998. - 175p. In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity.
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  • 7,77 МБ
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The Mathematical Association of America, Inc.,1967. — 205 p. — ISBN-10: 0883856190 Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized:...
  • №113
  • 1,75 МБ
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Washington: American Mathematical Society, 1996. — 210 p. — (New Mathematical Library, vol. 19). — ISBN 978-0-88385-619-2. Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The...
  • №114
  • 7,32 МБ
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Cambridge University Press, 1999. — 476 p. — ISBN: 9780521664059. Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics and group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development...
  • №115
  • 6,20 МБ
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Jones & Bartlett Publishers, 1995. - 306 Pages. Although the two concepts of fractals and chaos are connected, the nature of the relationship is sometimes lost in the respective details of the two theories. A principal aim of this text is to highlight this connection. It provides an introduction to both fractals and chaos and proceeds to show how certain fractals (attractors...
  • №116
  • 1,95 МБ
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Springer, 2013. — 211 p. — ISBN 978-1-4614-8525-4. Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry provides a coherent, integrated look at various topics from undergraduate analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of the book, geometric considerations....
  • №117
  • 3,04 МБ
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Kluwer, 1990. — 536 p. Assembled here is a collection of articles presented at a NATO Advanced Study Institute held at Puerto de la Cruz, Tenerife, Spain during the period of July 10th to 21st, 1989. In addition to the editors of these proceedings Professor Larry L. Schumaker from Vanderbilt University, Nashville, Tennessee, served as a member of the international organizing...
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  • 33,88 МБ
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American Mathematical Society, Providence, Rhode Island - 1991, 405 pages. Оригинал: Дао Чонг Тхи, Фоменко А.Т. Минимальные поверхности и проблема плато. "Наука", Москва - 1987. The book is an account of the current state of the theory of minimal surfaces and of one of the most important chapters of this theory—the Plateau problem, i.e. the problem of the existence of a...
  • №119
  • 4,65 МБ
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Springer, 2008. — 387 p. 370 illus. — 3rd ed. — ISBN: 3540779736, 9783540779742 This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all...
  • №120
  • 2,21 МБ
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Computational geometry emerged from the field of algorithms design and analysis in the late 1970s. It has grown into a recognized discipline with its own journals, conferences, and a large community of active researchers. The success of the field as a research discipline can on the one hand be explained from the beauty of the problems studied and the solutions obtained, and, on...
  • №121
  • 3,69 МБ
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Springer International Publishing AG, 2016. — 380 p. — (Frontiers in Mathematics) — ISBN-10: 3319438107 This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among...
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  • 4,14 МБ
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Key Curriculum Press, USA, Michael de Villiers, 2009. — 219 p. — ISBN 0557102952. This book seeks to actively involve the reader in the heuristic processes of conjecturing, discovering, formulating, classifying, defining, refuting, proving, etc. within the context of Euclidean geometry. The book deals with many interesting and beautiful geometric results, which have only been...
  • №123
  • 23,45 МБ
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Wiley. 1983. - 299 p. The purpose of this book is twofold: (i) To provide basic information about properties of the transform itself,complete with examples that illustrate some of the more subtle points. (ii) To document a wide variety of applications, along with extensive guidance to literature related to the transform. These objectives are accomplished in a way that can...
  • №124
  • 2,60 МБ
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New York, USA: Cambridge University Press, 2007. — 486 p. — ISBN-13 978-0-521-85757-4. How can linkages, pieces of paper, and polyhedra be folded? The authors present hundreds of results and over 60 unsolved 'open problems' in this comprehensive look at the mathematics of folding, with an emphasis on algorithmic or computational aspects. Contents Linkages Problem Classification...
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  • 10,75 МБ
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Издательство Princeton University Press, 2011, -270 pp. Although geometry is as old as mathematics itself, discrete geometry only fully emerged in the twentieth century, and computational geometry was only christened in the late 1970s. The terms discrete and computational fit well together, as the geometry must be discretized in preparation for computations. Discrete here means...
  • №126
  • 6,19 МБ
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American Mathematical Society, 1989. - 148 pages. The concepts of chaos and fractal have become quite popular in recent years, even among people with little mathematical background. Among the reasons for this surge of interest are the publication of several books and articles intended for general audiences. These include James Gleick's Chaos: Making a New Science and articles...
  • №127
  • 5,02 МБ
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Springer, 2005. — 218 p. The book fills a gap in the steadily expanding field of applying fractals to the earth science system. In this book the concept of fractal-scaling is applied to a variety of geophysical problems, illustrating what scaling laws really tell us and how they can used to solve various geophysical problems. Keeping in mind the broad range of readers...
  • №128
  • 3,40 МБ
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Cambridge: Cambridge University Press, 2016. — 314 p. Many geometrical features of manifolds and fibre bundles modelled on Fréchet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Fréchet spaces; for example, the lack of a general solvability theory for differential equations, the non-existence of a reasonable Lie...
  • №129
  • 1,81 МБ
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Springer, 2009 — 434 p. 2nd edition. This treatment of differential geometry and the mathematics required for general relativity makes the subject accessible, for the first time, to anyone familiar with elementary calculus in one variable and with some knowledge of vector algebra. The emphasis throughout is on the geometry of the mathematics, which is greatly enhanced by the...
  • №130
  • 19,56 МБ
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Springer, 2014. — 340 p. — ISBN-10: 3319086340 This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the interplay of Shapes, Algebra, Geometry and Algorithms. Written by a combination of young and experienced researchers, the book introduces new ideas in an established context. Among the central topics are...
  • №131
  • 4,43 МБ
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Seoul National University, 1994. — 147 p. These notes originate in a series of lectures given at the Tokyo Metropolitan University and Seoul National University in the Fall of 1993. These lectures have been extended into a graduate course at the University of Michigan in the Winter of 1994. Almost all of the material in these notes had been actually covered in my course. The...
  • №132
  • 2,92 МБ
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Springer, 2004. - 425 Pages. Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from important topics in modern geometry. Preface. Modern information technology allows most mathematicians unprecedented access to the research literature....
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  • 7,51 МБ
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Oxford University Press, 1997 — 456 p. The last ten years have seen rapid advances in the understanding of differentiable four-manifolds, not least of which has been the discovery of new 'exotic' manifolds. These results have had far-reaching consequences in geometry, topology, and mathematical physics, and have proven to be a mainspring of current mathematical research. This...
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  • 17,10 МБ
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Springer Basel, 2014. — 352 p. — ISBN 3034808429. This is the first systematic presentation of the capacitory approach and symmetrization in the context of complex analysis. The content of the book is original - the main part has not been covered by existing textbooks and monographs. After an introduction to the theory of condenser capacities in the plane, the monotonicity of the...
  • №135
  • 3,52 МБ
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Springer, 1992. — 486 p. This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and...
  • №136
  • 5,70 МБ
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Springer, 1985. — 445 p. — ISBN 0-387-96162-3. Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some...
  • №137
  • 5,19 МБ
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Springer, 1990. — 429 p. — ISBN 9780387972718, 0387972714. Over the past fifteen years, the geometrical and topological methods of the theory of manifolds have assumed a central role in the most advanced areas of pure and applied mathematics as well as theoretical physics. The three volumes of Modern Geometry - Methods and Applications contain a concrete exposition of these...
  • №138
  • 5,17 МБ
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Springer, 2005 — 309 p. The book under review provides an introduction to the contemporary theory of compact complex manifolds, with a particular emphasis on Kähler manifolds in their various aspects and applications. As the author points out in the preface, the text is based on a two-semester course at the University of Cologne, Germany. Having been designed for third-year...
  • №139
  • 2,29 МБ
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Издательство Addison-Wesley, 1971, -184 pp. This book is about one-to-one functions from the points of the plane onto the plane. Such transformations are applied to the study of geometry to bring a deeper understanding of congruence and similarity, and of the basic function concepts. Traditional geometry courses have placed geometry in a compartment quite separate from the rest...
  • №140
  • 1,55 МБ
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Издательство Addison-Wesley, 1971. — 184 p. — ISBN: 0201018519. This book is about one-to-one functions from the points of the plane onto the plane. Such transformations are applied to the study of geometry to bring a deeper understanding of congruence and similarity, and of the basic function concepts. Traditional geometry courses have placed geometry in a compartment quite...
  • №141
  • 3,72 МБ
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Springer, 2018. — 165 p. — (SpringerBriefs in Mathematical Physics 27). — ISBN 978-3-319-94787-7. What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes, deliberately unveiling the answers to these questions. After a brief preface flashing the panorama of the...
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Springer, 2014, ISBN 3319059564, 110 pages. This monograph presents a short course in computational geometry and topology. In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the...
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Fractal Examples. The Triadic Cantor Dust. The Sierpi´nski Gasket. A Space of Strings. Turtle Graphics. Sets Defined Recursively. Number Systems. *Remarks. Metric Topology. Metric Space. Metric Structures. Separable and Compact Spaces. Uniform Convergence. The Hausdorff Metric. Metrics for Strings. *Remarks. Topological Dimension. Zero-Dimensional Spaces....
  • №144
  • 8,57 МБ
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Westview Press, 2003. - 384 pages. Contains a selection of the classical mathematical papers related to fractal geometry. Commentaries help the modern reader to understand the papers and their relation to modern work. Fractals are an important topic in such varied branches of science as mathematics, computer science, and physics. Classics on Fractals collects for the first time...
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Dover, 2005. - 97 pages. ISBN: 0486442438 Non-Riemannian Geometry deals basically with manifolds dominated by the geometry of paths co-developed by the distinguished mathematician Luther Pfahler Eisenhart, the author of this text. He begins with a consideration of asymmetric connections, and then proceeds to a contrasting survey of symmetric connections. Discusses projective...
  • №146
  • 4,16 МБ
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Princeton University Press, 1997. — 318 p. — (Princeton Landmarks in Mathematics and Physics). — ISBN 0691023530. In his classic work of geometry, Euclid focused on the properties of flat surfaces. In the age of exploration, mapmakers such as Mercator had to concern themselves with the properties of spherical surfaces. The study of curved surfaces, or non-Euclidean geometry,...
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Springer, 1993. — 104 p. — ISBN: 9783642780547 This book appeared about ten years ago in Gennan. It started as notes for a course which I gave intermittently at the ETH over a number of years. Following repeated suggestions, this English translation was commissioned by Springer; they were most fortunate in finding translators whose mathemati cal stature, grasp of the language...
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Cambridge University Press, 2018. — 242 p. — ISBN 978-1-108-42391-5. This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns...
  • №149
  • 4,49 МБ
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London: Stacey International, 1974. — 68 p. — ISBN 0950-3304-0X This collection of theorems in plane geometry, some of which we believe to be new, illustrates that there may still be plenty of interesting theorems awaiting discovery. We derived a lot of enjoyment from evolving them (or, as it transpired in some cases, rediscovering them) and it is our sincere hope that the reader...
  • №150
  • 823,66 КБ
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Foundations 1. mathematical background. Basic set theory. Functions and limits. Measures and mass distributions. Notes on probability theory. Notes and references. Exercises. Hausdorff measure and dimension. Hausdorff measure. Hausdorff dimension. Calculation of Hausdorff dimension—simple examples. *2.4 Equivalent definitions of Hausdorff dimension. *2.5 Finer...
  • №151
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N.-Y.: Wiley, 2014. - 400p. The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics,...
  • №152
  • 3,04 МБ
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John Wiley & Sons, 1997. — 274 Pages. — ISBN: 0471957240. Following on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals. Much of the material presented in this book has come to the fore in recent years. This includes methods for studying...
  • №153
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Wiley. Chichester, UK. 3rd Edition. 2014. 400 pages. Includes references and index. ISBN: 111994239X. The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own...
  • №154
  • 3,58 МБ
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O'Reilly Media, 2009. — 368 pages. ISBN-10: 059680833X, ISBN-13: 978-0596808334 Having trouble with geometry? Do Pi, The Pythagorean Theorem, and angle calculations just make your head spin? Relax. With Head First 2D Geometry, you'll master everything from triangles, quads and polygons to the time-saving secrets of similar and congruent angles - and it'll be quick, painless,...
  • №155
  • 21,41 МБ
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Chichester, West Sussex, John Willey & sons, 1979, 331 p. Department of Mathematics Cranfield Institute of Technology. This book deals with the mathematical techniques which have been developed in recent years for the representation, analysis and synthesis of "shape information" by computers. This area of mathematics is now assuming major importance in the manufacturing...
  • №156
  • 18,08 МБ
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Springer Science + Business Media, LLC, 1988. — 305 p. — (Physics of Solids and Liquids) — ISBN: 9781489921260 This lovely little book will take off and fly on its own power, but the author has asked me to write a few words, and one should not say no to a friend. Specific topics in fractal geometry and its applications have already benefited from several excellent surveys of...
  • №157
  • 36,32 МБ
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Oxford University Press, 2012. - 431 p. - This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated...
  • №158
  • 14,98 МБ
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Cambridge University Press, 2011. — 206 p. — (Encyclopedia of Mathematics and its Applications, Book 139). — ISBN: 1107031702, 9780521461931 Simplex geometry is a topic generalizing geometry of the triangle and tetrahedron. The appropriate tool for its study is matrix theory, but applications usually involve solving huge systems of linear equations or eigenvalue problems, and...
  • №159
  • 1,04 МБ
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Society for Industrial and Applied Mathematics, 2009. - 213 Pages. Second Edition Mathematical symmetry and chaos come together to form striking, beautiful color images throughout this impressive work, which addresses how the dynamics of complexity can produce familiar universal patterns. The book, a richly illustrated blend of mathematics and art, was widely hailed in...
  • №160
  • 16,34 МБ
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Springer, 2012, ISBN 3642172822, 312 pages Arrangements of curves constitute fundamental structures that have been intensively studied in computational geometry. Arrangements have numerous applications in a wide range of areas – examples include geographic information systems, robot motion planning, statistics, computer-assisted surgery and molecular biology. Implementing robust...
  • №161
  • 3,55 МБ
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Springer, 2008. — 409 p. The flood of information through various computer networks such as the In­ ternet characterizes the world situation in which we live. Information worlds, often called virtual spaces and cyberspaces, have been formed on computer networks. The complexity of information worlds has been increasing almost exponentially through the exponential growth of...
  • №162
  • 9,55 МБ
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Springer International Publishing, Switzerland, 2016. — 275 p. — (UNITEXT. Volume 104) — ISBN: 3319428233 This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward and modern language. The goal is not only to establish the notation and terminology used, but also to offer the reader a quick survey of the subject...
  • №163
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Boston: Birkhauser, 1998. — 268 p. Vector bundles arise in geometry in several contexts. One may remember from the study of smooth manifolds that the notion of tangent bundle inevitably appeared as a powerful tool of differential geometry. If the dimension of a manifold M is k then the dimension of the total space of the tangent bundle to M is twice as big. The first and...
  • №164
  • 1,02 МБ
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Princeton University Press, 2011. - 258 pages. An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists...
  • №165
  • 7,73 МБ
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Paris: European Mathematical Society, 2018. — 865 p. Rigid geometry is one of the modern branches of algebraic and arithmetic geometry. It has its historical origin in J. Tate’s rigid analytic geometry, which aimed at developing an analytic geometry over non-archimedean valued fields. Nowadays, rigid geometry is a discipline in its own right and has acquired vast and rich...
  • №166
  • 6,74 МБ
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Springer, 2000. - 565 pages. As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics, which sometimes do not cover the underlying...
  • №167
  • 6,42 МБ
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Springer, 2011. - 707 pages. 2nd Edition This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book...
  • №168
  • 5,44 МБ
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Cambridge: Cambridge University Press, 2010. — 416 p. Riemann surfaces is a thriving area of mathematics with applications to hyperbolic geometry, complex analysis, fractal geometry, conformal dynamics, discrete groups, geometric group theory, algebraic curves and their moduli, various kinds of deformation theory, coding, thermodynamic formalism, and topology of three-dimensional...
  • №169
  • 6,24 МБ
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Cambridge: Cambridge University Press, 2006. — 515 p. Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. The subject overlaps with convex geometry...
  • №170
  • 5,38 МБ
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Author: LE Editors. Publisher: Lеarning Express, 2010. - 215 pages. Whether you're new to geometry or just looking for a refresher, this completely revised and updated third edition of Geometry Success in 20 Minutes a Day offers a 20-step lesson plan that provides quick and thorough instruction in practical, critical skills. Stripped of unnecessary math jargon but bursting...
  • №171
  • 5,25 МБ
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The Mathematical Association of America, 1999. - 224 pages. This book draws on geometric ideas from cultural activities from Subsaharan Africa, and demonstrates how they may be explored to develop mathematical reasoning from school level through to university standard. Paulus Gerdes provides a thoroughly illustrated and researched exploration of mathematical ideas, motifs and...
  • №172
  • 13,15 МБ
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Glencoe/McGraw-Hill, 2005. - 878 pages. Geometry: Concepts and Applications covers all geometry concepts using an informal approach. Table of contents. Chapter 1 Reasoning in Geometry. Chapter 2 Segment Measure and Coordinate Graphing. Chapter 3 Angles. Chapter 4 Parallels. Chapter 5 Triangles and Congruence. Chapter 6 More About Triangles. Chapter 7 Triangle...
  • №173
  • 55,96 МБ
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3rd ed. — Boca Raton: CRC Press, 2017. — 1948 p. The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the...
  • №174
  • 30,37 МБ
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CRC-Press, 1997. — 1008 pages. Jacob E. Goodman, co-founder and editor of Discrete & Computational Geometry, the preeminent journal on this area in the international mathematics and computer science community, joins forces with the distinguished computer scientist Joseph O'Rourke and other well-known authorities to produce the definitive handbook on these two interrelated...
  • №175
  • 8,87 МБ
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2nd edition. — Chapman and Hall/CRC, 2004. — 1558 pages. While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances...
  • №176
  • 29,60 МБ
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2nd edition. — Chapman and Hall/CRC, 2004. — 1558 p. The second edition of the Handbook of Discrete and Computational Geometry is a thoroughly revised version of the bestselling first edition. With the addition of 500 pages and 14 new chapters covering topics such as geometric graphs, collision detection, clustering, applications of computational geometry, and statistical...
  • №177
  • 77,44 МБ
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Springer, 2008. — 652 p. While we were busy putting together the present collection of articles celebrating the twentieth birthday of our journal, Discrete & Computational Geometry, and, in a way, of the field that has become known under the same name, two more years have elapsed. There is no doubt that DCG has crossed the line between childhood and adulthood. By the...
  • №178
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Facts on File, 2009. — 342 p. Like other areas of mathematics, geometry is a continually growing and evolving field. Computers, technology, and the sciences drive many new discoveries in mathematics. For geometry, the areas of quantum computers, computer graphics, nanotechnology, crystallography, and theoretical physics have been particularly relevant in the past few years. There...
  • №179
  • 3,16 МБ
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Издательство Birkhäuser, 2011, -210 pp. Grand visions in mathematics can begin with simple observations. It is hardly more than a homework exercise to prove that what we nowadays call the Poincaré metric on the unit disc is invariant under the biholomorphic maps of the unit disc to itself. But this easily established fact, when combined with the (profound) uniformization...
  • №180
  • 1,80 МБ
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Springer, 2019. — 569 p. — (Springer Monographs in Mathematics). — ISBN 303003349X. Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified...
  • №181
  • 8,09 МБ
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Springer, 2019. — 569 p. — (Springer Monographs in Mathematics). — ISBN 303003349X. Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified...
  • №182
  • 49,07 МБ
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Cаmbridge Univеrsity Prеss, 1996. - 344 pages. This self-contained, comprehensive treatise presents a careful introduction to the classical theory of spherical harmonics and shows how this theory can be used to prove geometric results such as geometric inequalities, uniqueness results for projections and intersection by hyperplanes or half-spaces, and stability. The analytic...
  • №183
  • 1,41 МБ
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Birkhauser Boston - 2006, 593 pages. Based on "Structures Mtriques des Varites Riemanninnes", edited by J. LaFontaine & P. Pansu. Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory. The new...
  • №184
  • 26,07 МБ
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2nd Edition. — Springer,1977. — 208 p. — (Graduate Texts in Mathematics 49). — ISBN 978-1-4419-2806-1. This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe­ matics majors at North American Universities in their junior...
  • №185
  • 5,98 МБ
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Huntington: Robert E. Krieger Publishing Company. – 1977. – 213 p. (Applied mathematics series) The Department of Mathematics of the Polytechnic Institute of New York sees its major task in the training of applied and industrial mathematicians. In order to allow an undergraduate two years to study a great variety of topics in applied mathematics and statistics, our preferred...
  • №186
  • 1,66 МБ
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Birkhäuser Boston, 2004. — 158 pages. "Lines and Curves" is a unique adventure in the world of geometry. Originally written in Russian and used in the Gelfand Correspondence School, the book has since become a classic: unlike standard textbooks that use the subject primarily to introduce axiomatic reasoning as illustrated by formal geometric proofs, "Lines and Curves" maintains...
  • №187
  • 11,51 МБ
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Springer Spektrum, 2016. — 228 p. — ISBN 978-3-662-53034-4. Dieses Buch nimmt Sie mit auf eine Entdeckungsreise durch die Welt der klassischen Geometrie: Beginnend beim Satz von Thales und den Apolloniuskreisen führt die Reise über Steiner'sche Kreisketten bis in die Welt der Kegelschnitte. Dabei werden verborgene Zusammenhänge aufgedeckt und Perlen der Elementargeometrie...
  • №188
  • 6,82 МБ
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A K Peters/C.R.C. Press, 1993. - 251 Pages. Number theory and geometry, with a millenia-long history, together constitute the original mathematical disciplines. It is fascinating that the regularities and connections once discovered by mathematics retain their validity; more fascinating still is the fact that new relations are continually being discovered. Since mathematics is...
  • №189
  • 2,79 МБ
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Shelter Publications, 1994. — 222 pages. The authors are both distinguished research professors in structural chemistry with numerous publications, have produced an intriguing book on diverse symmetries, classifying some 25 varieties and defining their intrinsic natures in rather innovative style embrancing those found in Nature and those produced by the Hand of Man. There is...
  • №190
  • 27,67 МБ
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Chapman and Hall/CRC, 2001. - 264 Pages. Although multifractals are rooted in probability, much of the related literature comes from the physics and mathematics arena. Multifractals: Theory and Applications pulls together ideas from both these areas using a language that makes them accessible and useful to statistical scientists. It provides a framework, in particular, for the...
  • №191
  • 1,69 МБ
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Springer, 2000. — 528 p. — (Undergraduate Texts in Mathematics). — ISBN: 0387986502, 9780387226767 In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of...
  • №192
  • 4,51 МБ
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Springer, 2000. — 536 p. — ISBN: 978-1-4419-3145-0. In recent years, I have been teaching a junior-senior-level course on the classi cal geometries. This book has grown out of that teaching experience. I assume only high-school geometry and some abstract algebra. The course begins in Chapter 1 with a critical examination of Euclid's Elements. Students are expected to read...
  • №193
  • 47,97 МБ
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Washington: Mathematical Association of America, 2015. — 561 p. An introduction to geometry in the plane, both Euclidean and hyperbolic, this book is designed for an undergraduate course in geometry. With its patient approach, and plentiful illustrations, it will also be a stimulating read for anyone comfortable with the language of mathematical proof. While the material within is...
  • №194
  • 12,76 МБ
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Self-published, 2017. — 601 p. Elementary geometry is the stepping stone to more advance mathematical subjects. It is needed to understand many components of physics, chemistry and engineering. Even the biological sciences require an understanding of geometry, especially biochemistry. In fact, more and more scientific disciplines have come to rely on mathematics of some kind which...
  • №195
  • 29,13 МБ
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Academic Press Inc, 1978. — 649 p. — ISBN 9780123384607, 0123384605. The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount...
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  • 4,22 МБ
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Springer, 2011. — 316 p. — ISBN 978-1-4419-6054-2. In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds―hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support...
  • №197
  • 2,33 МБ
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Springer, 2011. — 316 p. — ISBN 978-1-4419-6054-2. In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its integrals over certain submanifolds―hence the term the Radon transform. Examples and far-reaching generalizations lead to fundamental problems such as: (i) injectivity, (ii) inversion formulas, (iii) support...
  • №198
  • 2,25 МБ
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Издательство Birkhäuser, 1999, -197 pp. The first edition of this book has been out of print for some time and I have decided to follow the publisher's kind suggestion to prepare a new edition. Many examples of the explicit inversion formulas and range theorems have been added, and the group-theoretic viewpoint emphasized. For example, the integral geometric viewpoint of the...
  • №199
  • 843,44 КБ
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Walter de Gruyter, 2007. — 177 p. — ISBN: 3110190923 The first instance of pre-computer fractals was noted by the French mathematician Gaston Julia. He wondered what a complex polynomial function would look like, such as the ones named after him (in the form of z2 + c, where c is a complex constant with real and imaginary parts). The idea behind this formula is that one takes...
  • №200
  • 1,96 МБ
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Springer, 2016. — 247 S. — ISBN 978-3-662-47205-7. Das vorliegende Lehrbuch entwickelt Geometrie für die Studierenden des Lehramts Primarstufe von fünf Leitvorstellungen aus: Geometrie hilft uns beim Wahrnehmen räumlicher Zusammenhänge und bei der Orientierung im Raum, sie dient dem Erfassen von Formen und dem (künstlerischen) Gestalten von Mustern. Zudem beschäftigt sie sich mit...
  • №201
  • 8,32 МБ
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Springer, 2012. — 742 p. — (Springer Monographs in Mathematics). — ISBN 0387847936. This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to...
  • №202
  • 6,46 МБ
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Springer, 2012. — 800 p. — (Springer Monographs in Mathematics). — ISBN 0387847936. This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to...
  • №203
  • 9,45 МБ
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Linfield College, 2018. — 217 p. Geometry with an Introduction to Cosmic Topology approaches geometry through the lens of questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe ? Does the universe have an edge ? Is it infinitely big ? This text develops non-Euclidean geometry and geometry on surfaces at a level appropriate for...
  • №204
  • 2,68 МБ
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Springer, 2010. - 551 pages. This book contains selected topics from the history of geometry, with "modern" proofs of some of the results, as well as a fully modern treatment of selected basic issues in geometry. It is geared towards the needs of future mathematics teachers. One of my goals for this book is to open up for the dynamic character of geometry as such, and to extend...
  • №205
  • 11,86 МБ
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AMS, 2003. - 929 pages. This thorough and detailed exposition is the result of an intensive month-long course sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives. The material will be particularly useful for those wishing to advance their understanding by exploring mirror symmetry at the interface of...
  • №206
  • 11,21 МБ
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2nd ed. — Springer, 2003. — 510 p. — ISBN: 0387954902, 9780387954905 This book is an introduction to the theory of elliptic curves, ranging from its most elementary aspects to current research. The first part, which grew out of Tate's Haverford lectures, covers the elementary arithmetic theory of elliptic curves over the rationals. The next two chapters recast the arguments...
  • №207
  • 6,89 МБ
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Boca Raton: CRC Press, 2017. — 545 p. Features: Second edition of a successful textbook for the first undergraduate course Every major concept is introduced in its historical context and connects the idea with real life Focus on experimentation Projects enhance student learning All major software programs can be used; free software from author This text promotes student engagement...
  • №208
  • 5,97 МБ
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Elsevier Science, 1996. - 396 pages. This book develops the thesis that structure and function in a variety of condensed systems - from the atomic assemblies in inorganic frameworks and organic molecules, through molecular self-assemblies to proteins - can be unified when curvature and surface geometry are taken together with molecular shape and forces. An astonishing variety...
  • №209
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Princeton University Press , 2016 - 269 p. This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to...
  • №210
  • 1,74 МБ
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Springer, 2009. - 554 pages. This book is about visualization, systematically incorporating the fantastic human pattern recognition into the problem-solving process, and focusing on parallel coordinates. The barrier, imposed by our three-dimensional habitation and perceptual experience, has been breached by this innovative and versatile methodology. The accurate visualization...
  • №211
  • 31,46 МБ
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Springer, 1997. - 187 pages. This is an introduction to the theory and applications of modern geometry. It differs from other books in its field in its emphasis on applications and its discussion of Special Relativity as a major example of a non-Euclidean geometry. Besides Special Relativity, it covers two other important ares of non-Euclidean geometry: spherical geometry (used...
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  • 2,32 МБ
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Springer International Publishing AG, 2018. — 318 p. — ISBN 3319753304. This book offers an essential overview of computational conformal geometry applied to fundamental problems in specific engineering fields. It introduces readers to conformal geometry theory and discusses implementation issues from an engineering perspective. The respective chapters explore fundamental problems...
  • №213
  • 15,14 МБ
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Springer International Publishing AG, 2018. — 318 p. — ISBN 3319753304. This book offers an essential overview of computational conformal geometry applied to fundamental problems in specific engineering fields. It introduces readers to conformal geometry theory and discusses implementation issues from an engineering perspective. The respective chapters explore fundamental problems...
  • №214
  • 11,54 МБ
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Cambridge University Press, 2018. — 471 p. — ISBN 978-1-107-10340-5. Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book...
  • №215
  • 13,90 МБ
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Dover Publications, 2007. - 336 pages. This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. Several hundred theorems and corollaries are formulated and proved completely; numerous others remain unproved, to be used by students as exercises. 1929 edition.
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Springer. Heidelberg Dordrecht London New York. 6th edition. 2011. 630 pages. Includes index. ISBN: 3642212972. This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. The previous edition already introduced and explained the ideas of the parabolic methods that had found a spectacular success in the work...
  • №217
  • 3,19 МБ
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Boca Raton: CRC Press, 2015. — 206 p. — ISBN: 1482259508, 9781482259506. Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics introduces geometric algebra with an emphasis on the background mathematics of Hamilton, Grassmann, and Clifford. It shows how to describe and compute geometry for 3D modeling applications in computer...
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  • 2,65 МБ
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World Scientific Publishing Company, 2002. - 470 pages. The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in "Mathematics, Chemistry, and Astronomy - Professional and Reference" in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in...
  • №219
  • 8,55 МБ
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World Scientific Publishing Co. Pte. Ltd., 2017. — 255 p. — ISBN-10: 9814635367 This book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions. Tropical geometry is a kind of dynamical scale transform which connects real rational dynamics with piecewise linear one presented by...
  • №220
  • 7,27 МБ
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Second Edition. — VCH, 1994. — 453 Pages. — ISBN: 3527290788. Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the descriptive power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. The second edition of this...
  • №221
  • 38,06 МБ
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Yale University, 1975. - 139 pages. ISBN: 0883856042 Anybody who liked his first geometry course will enjoy the simply stated geometric problems about maximum and minimum lenghs and areas in this book. Many of these already fascinated the greeks, for example the problem of of enclosing the largest possible area by a fence of given length, and some were solved long ago; but...
  • №222
  • 10,96 МБ
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Mathematical Association of America, 2012. — 205 pages. ISBN: 0883853531. This is an informal and accessible introduction to plane algebraic curves that also serves as a natural entry point to algebraic geometry. There is a unifying theme to the book: give curves enough living space and beautiful theorems will follow. This book provides the reader with a solid intuition for...
  • №223
  • 7,78 МБ
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Philadelphia: American Mathematical Society, 2015. — 234 p. This book is based on the program from 2011, Some Applications of Geometric Thinking. One goal of this course is to help teachers see that geometric ideas can be used throughout the secondary school curriculum, both as a hub that connects ideas from all parts of secondary school and beyond—algebra, number theory,...
  • №224
  • 15,77 МБ
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Springer, 2013. — 86 p. The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form. The second part describes a surprising analogy between the fundamental theorem of Galois theory and the classification of coverings over a topological space. The...
  • №225
  • 932,05 КБ
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Springer, 2013. - 147 p. - Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized...
  • №226
  • 1,79 МБ
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New York, London: MACMILLAN AND CO., 1894. — 117 с. Лекции Клейна пользовались большой популярностью, многие из них были неоднократно переизданы и переведены на множество языков. Клейну принадлежит идея алгебраической классификации различных отраслей геометрии в соответствии с теми классами преобразований, которые для этой геометрии несущественны. Более точно выражаясь, один...
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  • 651,83 КБ
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Springer, 2015. — 761 p. This encyclopedia presents an all-embracing collection of analytical surface classes. It provides concise definitions and description for more than 500 surfaces and categorizes them in 38 classes of analytical surfaces. All classes are cross references to the original literature in an excellent bibliography. The encyclopedia is of particular interest to...
  • №228
  • 83,78 МБ
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Hindustan Book Agency (India), 2005. — 242 p. — (Texts and Readings in Mathematics 30) — ISBN 978-81-85931-50-0. This book is written as an attempt to entice the students of mathematics to the world of geometry. In spite of the great strides made in modern geometry at research level, there is no introductory book which gives modern aspects of geometry at undergraduate/graduate...
  • №229
  • 17,20 МБ
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European Mathematical Society, 2015. — 197 p. — (EMS Textbooks in Mathematics) — ISBN: 3037191511 Spectral theory is a diverse area of mathematics that derives its motivations, goals, and impetus from several sources. In particular, the spectral theory of the Laplacian on a compact Riemannian manifold is a central object in differential geometry. From a physical point a view,...
  • №230
  • 1,22 МБ
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Routledge, 1989. - 288 pages. The Ethics of Geometry is a study of the relationship between philosophy and mathematics. Essential differences in the ethos of mathematics, for example, the customary ways of undertaking and understanding mathematical procedures and their objects, provide insight into the fundamental issues in the quarrel of moderns with ancients. Two signal...
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  • 3,08 МБ
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Computer Science at Narvik University College (NUC), 2012. — 325 p. Geometry – from Ancient Greek, earth measurement – has been an important ingredient of the development of science and later also industry, design and production. In modern time, the Geometric modeling community is established, and has now a 50-year-old history. The first pioneers were motivated by the...
  • №232
  • 42,00 МБ
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Cambridge: Cambridge University Press, 2017. — 351 p. Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic geometry and representation theory provide fertile ground for...
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  • 2,36 МБ
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Cambridge University Press, 2017. — 351 p. — (Cambridge Studies in Advanced Mathematics). — ISBN 1107199239, 9781107199231. Two central problems in computer science are P vs NP and the complexity of matrix multiplication. The first is also a leading candidate for the greatest unsolved problem in mathematics. The second is of enormous practical and theoretical importance. Algebraic...
  • №234
  • 2,54 МБ
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Robert J. Lang, 2003. - 55 pages. Origami is the art of folding uncut sheets of paper into interesting and beautiful shapes. Within this text, the author presents a variety of techniques for origami geometric constructions. The field is rich and varied, with surprising connections to other branches of mathematics. Compass-and-straightedge geometric constructions are familiar...
  • №235
  • 1,75 МБ
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Second edition. — Springer, 1988. — 408 p. — ISBN 0-387-96654-4. At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the...
  • №236
  • 3,49 МБ
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Second edition. — Springer, 1988. — 408 p. — ISBN 0-387-96654-4. At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. They also show students the fundamental concepts and the...
  • №237
  • 12,36 МБ
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Springer International Publishing, Switzerland, 2017. — 685 p. — (Springer Monographs in Mathematics) — ISBN 3319447041. This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. It...
  • №238
  • 12,55 МБ
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Springer, 2006. - 472 pages. ISBN: 0387332855 Number theory, spectral geometry, and fractal geometry are interlinked in this study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. The Riemann hypothesis is given a natural geometric reformulation in context of vibrating fractal strings, and the book offers explicit formulas extended to...
  • №239
  • 4,15 МБ
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Basel: Birkhäuser, 2000. - 277 p. Contents : Front Matter Introduction Complex Dimensions of Ordinary Fractal Strings Complex Dimensions of Self-Similar Fractal Strings Generalized Fractal Strings Viewed as Measures Explicit Formulas for Generalized Fractal Strings The Geometry and the Spectrum of Fractal Strings Tubular Neighborhoods and Minkowski Measurability The Riemann...
  • №240
  • 11,76 МБ
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Prentice Hall, 1995. — 282 p. — ISBN: 0132908425 This book provides an accessible introduction to methods in computational geometry and computer graphics. It emphasizes the efficient object-oriented implemenation of geometric methods with useable C++ code for all methods discussed.
  • №241
  • 11,57 МБ
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CRC Press, 1991. - 200 Pages. Fractal geometry, based on recursive mathematical schemas, provides a means for modeling a great number of natural phenomena. For this reason, it is of increasing interest to physicists, chemists, biologists, and geographers, among others. A major quality of fractality is that it not only unifies phenomena previously thought to be anomalous or...
  • №242
  • 1,78 МБ
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Vanderbilt University Press, 1997. - 456 Pages. Carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. This volume, with its companion volume, contains a selection of papers presented at the Third International Conference on Curves and Surfaces which was held in June 1996 at Chamonix, France. Each book...
  • №243
  • 4,27 МБ
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2nd Edition. — Springer, 2018. — 447 p. — (Graduate Texts in Mathematics 176). — ISBN 978-3-319-91754-2. This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, Riemannian...
  • №244
  • 8,80 МБ
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2nd Edi. — Springer, 2018. — 447 p. — (Graduate Texts in Mathematics, 176). — ISBN 978-3-319-91754-2. This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds. The second edition has been adapted, expanded, and aptly retitled from Lee’s earlier book, Riemannian Manifolds:...
  • №245
  • 23,06 МБ
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University of Washington, 2000 - 474 c. Учебник представляет собой вводный курс теории гладких многообразий для студентов, которые уже знакомы с общей топологией, линейной алгеброй и основами математического анализа.
  • №246
  • 7,13 МБ
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Springer, 1997. - 224 c. Учебник для студентов, в котором автор в простой, доступной форме знакомит читателей с основами римановой геометрии, особое внимание уделяя понятиям связности, геодезических и кривизны.
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  • 1,28 МБ
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Hoboken: Wiley, 2015. — 336 p. A gentle introduction to the geometry of convex sets in n-dimensional space. Geometry of Convex Sets begins with basic definitions of the concepts of vector addition and scalar multiplication and then defines the notion of convexity for subsets of n-dimensional space. Many properties of convex sets can be discovered using just the linear structure....
  • №248
  • 1,89 МБ
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Hoboken: Wiley, 2014. — 172 p. Written by well-known mathematical problem solvers, Classical Geometry: Euclidean, Transformational, Inversive, and Projective features up-to-date and applicable coverage of the wide spectrum of geometry and aids readers in learning the art of logical reasoning, modeling, and proof. With its reader-friendly approach, this undergraduate text...
  • №249
  • 4,11 МБ
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Hoboken: Wiley, 2014. — 494 p. Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical...
  • №250
  • 31,34 МБ
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Wiley, 2014. — 494 p. — ISBN: 1118679199, 9781118679197 Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader–friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial...
  • №251
  • 30,61 МБ
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Springer, 2010. - 174 pages. The groundbreaking documentary (accompanying this book), introduced by Arthur C. Clarke, has been shown in over 50 countries around the world. Twenty five years ago it brought the subject of fractals to the attention of the general public for the first time. The contributors to the film are joined in this comprehensive survey of fractal theory and...
  • №252
  • 34,94 МБ
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Hong Kong University Press, 1995. - 356 pages. PREFACE With the present volume the 3-book series on elementary mathematics is now complete. Like its two predecessors, Fundamental Concepts of Mathematics and Polynomials and Equations, the present book is addressed to a large leadership comprising Sixth Form students, first-year undergraduates and students of Institutes of...
  • №253
  • 11,96 МБ
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Издательство Cambridge University Press, 1997, -186 pp. Mathematical Science Research Institute Publications - Volume 31 God is always doing geometry. What Plato meant by this is no clearer now than it was in the first century a.d., when the dinner conversation quoted above (which I'm about to paraphrase) took place. Diogenianus, one of the guests, recalls that it is Plato's...
  • №254
  • 1,72 МБ
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Cambridge University Press, 2012. — 418 p. — (Cambridge Studies in Advanced Mathematics 134) — ISBN 052137331X. The aim of this graduate-level text is to equip the reader with the basic tools and techniques needed for research in various areas of geometric analysis. Throughout, the main theme is to present the interaction of partial differential equations and differential...
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  • 1,45 МБ
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Springer, 2017. — 317 p. This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications. It furthers readers’ understanding of the contacts between spline surfaces and subdivision surfaces, enabling them to master the Subdivision Surface Modeling Technology for analyzing...
  • №256
  • 13,52 МБ
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New York: Springer, 2017. — 141 p. Concise proofs are given and step-by-step algorithms for solving fundamental problems efficiently and precisely are presented in Mathematica, enabling the reader to experiment with concepts and methods as they are introduced. Descriptive graphics, examples, and problems, accompany the real gems of the text, namely the applications in...
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  • 1,17 МБ
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Edited and translated by Athanase Papadopoulos. — European Mathematical Society Publishing House, 2010. — 323 p. — (Heritage of European Mathematics). — ISBN: 978-3-03719-087-6 Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a résumé of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the...
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  • 12,29 МБ
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Cambridge: Cambridge University Press, 1961. — 209 p. This book opens up an important field of mathematics at an elementary level, one in which the element of aesthetic pleasure, both in the shapes of the curves and in their mathematical relationships, is dominant. This book describes methods of drawing plane curves, beginning with conic sections (parabola, ellipse and hyperbola),...
  • №259
  • 11,62 МБ
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Springer-Verlag, 2013. — 296 p. — (Springer Monographs in Mathematics). — ISBN 3642396259. The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary...
  • №260
  • 3,09 МБ
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Philadelphia: American Mathematical Society, 1996. — 418 p. In this volume the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive...
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  • 6,11 МБ
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Springer, 2013. — 238 p. — ISBN 978-1-4614-7272-8. "Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean...
  • №262
  • 2,87 МБ
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CRC Press, 2010. — 430 p. — ISBN 13 978-1-4398-6546-0. From the coauthor of Differential Geometry of Curves and Surfaces, this companion book presents the extension of differential geometry from curves and surfaces to manifolds in general. It provides a broad introduction to the field of differentiable and Riemannian manifolds, tying together the classical and modern formulations....
  • №263
  • 12,27 МБ
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Springer, 2016. — 386 p. — ISBN-10 3319273698. This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses...
  • №264
  • 7,14 МБ
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New York: W.H. Freeman and Company, 1982. — 468 Pages. ISBN: 0716711869. Clouds are not spheres, mountains are not cones, and lightening does not travel in a straight line. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes. Now that the field has expanded greatly with many...
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  • 6,97 МБ
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W.H. Freeman and Company, 1982. — 470 pages. Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle - you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending...
  • №266
  • 30,05 МБ
  • дата добавления неизвестна
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Princeton University Press, 2014. — 208 pages. ISBN: 0691150990 If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied...
  • №267
  • 30,84 МБ
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Providence: American Mathematical Society, 2016. — 234 p. This volume contains the proceedings of the Workshop on Noncommutative Geometry and Optimal Transport, held on November 27, 2014, in Besançon, France. The distance formula in noncommutative geometry was introduced by Connes at the end of the 1980s. It is a generalization of Riemannian geodesic distance that makes sense in a...
  • №268
  • 1,78 МБ
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American Mathematical Society, USA, 2001. — 296 p. — (Translations of Mathematical Monographs 202) — ISBN 0821821091. The study of asymptotic solutions to nonlinear systems of partial differential equations is a very powerful tool in the analysis of such systems and their applications in physics, mechanics, and engineering. In the present book, the authors propose a new powerful...
  • №269
  • 17,07 МБ
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Pergamon Press Ltd., 1962. — 176 p. The aim of this book is to give, in concise form, the whole of the geometry of the straight line, circle, plane and sphere, with their associated configurations such as triangle or cylinder, in so far as it is likely to be required for courses in mathematics in the United Kingdom for the G.C.E. at Advanced and Scholarship levels, or for...
  • №270
  • 4,43 МБ
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Springer, 2017. — 160 p. — ISBN 978-3-319-39375-9. This is the only book dedicated to the Geometry of Polycentric Ovals. It includes problem solving constructions and mathematical formulas. For anyone interested in drawing or recognizing an oval, this book gives all the necessary construction and calculation tools. More than 30 basic construction problems are solved, with...
  • №271
  • 6,84 МБ
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Springer-Verlag New York 2011. — 2nd Ed. — (Interdisciplinary Applied Mathematics 11). — 448 pp. — ISBN: 978-1-4419-7891-2 (Print) 978-1-4419-7892-9 (Online). This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages. The focus is on sizing mechanical constraints that guide the movement of a workpiece, or end...
  • №272
  • 7,62 МБ
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Cambridge University Press, 2002. — 567 p. Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and...
  • №273
  • 3,72 МБ
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Springer International Publishing, Switzerland, 2017. — 194 p. — (Compact Textbooks in Mathematics) — ISBN: 9783319428628 This book has been ten odd years in the making. The text evolved into a little booklet for the Dutch Zebra series (Epsilon publishers). This is a series of 60-page booklets aimed at high school pupils preparing for their final exams. As the old saying goes,...
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  • 5,31 МБ
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Springer International Publishing, Switzerland, 2016. — 216 p. — ISBN-10: 3319450255 This book presents a selection of the most recent algorithmic advances in Riemannian geometry in the context of machine learning, statistics, optimization, computer vision, and related fields. The unifying theme of the different chapters in the book is the exploitation of the geometry of data...
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  • 5,60 МБ
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American Mathematical Society, 1995. — 390 p. In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way,...
  • №276
  • 17,45 МБ
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Academic Press, 1965. — 169 p. The publication first takes a look at orthogonal transformations, including orthogonal transformations of the first and second kinds; representations of orthogonal transformations as the products of fundamental orthogonal transformations; and representation of an orthogonal transformation of space as a product of fundamental orthogonal...
  • №277
  • 1,16 МБ
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Academic Press, 1965. — 147 p. This volume focuses on collinearity-preserving transformations of the projective plane. The book first offers information on projective transformations, as well as the concept of a projective plane, definition of a projective mapping, fundamental theorems on projective transformations, cross ratio, and harmonic sets. Examples of projective...
  • №278
  • 1,01 МБ
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Harwood Academic Publ, 2008. — 134 p. — (Reviews in Mathematics and Mathematical Physics, Volume 11, Part 2). — ISBN-10 190486872X. This survey paper is devoted to Hamiltonian geometry of integrable partial differential equations and the theory of infinite-dimensional symplectic and Poisson structures. Infinite-dimensional symplectic and Poisson geometry is closely connected with...
  • №279
  • 2,79 МБ
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Jones and Bartlett Publ., England, 1993. — 121 p. — ISBN 0-86720-242-4. The complicated formulations of Riemannian geometry present a daunting aspect to the student This little book focuses on the central concept-curvature It gives a naive treatment of Riemannian geometry, based on surfaces in Rn rather than on abstract Riemannian manifolds. The more ophIstIcated mtnnslC formulas...
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  • 12,01 МБ
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2nd Edition. — Jones and Bartlett Publ., 1998. — 158 p. — ISBN-10 1568814712. This classic text serves as a tool for self-study; it is also used as a basic text for undergraduate courses in differential geometry. The author's ability to extract the essential elements of the theory in a lucid and concise fashion allows the student easy access to the material and enables the...
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  • 11,85 МБ
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College Publications, London, UK, 2010. — 174 p. — (Studies in Logic. Volume 27) — ISBN-10: 1848900228 The Theory of Inconsistency has a long lineage, stretching back to Herakleitos, Hegel and Marx. In the late twentieth-century, it was placed on a rigorous footing with the discovery of paraconsistent logic and inconsistent mathematics. Paraconsistent logics, many of which are...
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University of Maryland, 2002, -122 pp. Курс лекций. Introduction Fixed-Radius Near Neighbors and Geometric Basics Orientations and Convex Hulls More Convex Hull Algorithms Line Segment Intersection Planar Graphs, Polygons and Art Galleries Polygon Triangulation Halfplane Intersection Linear Programming More Linear Programming and Smallest Enclosing Disk Orthogonal...
  • №283
  • 961,06 КБ
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4th Edition. — McGraw-Hill, 2008. — 216 p. — ISBN: 0071543503. Содержит 618 задач с решениями. Get a firm grasp of trigonometry with this simple-to-use guide! It can help you pump up your problem-solving skills, ace your exams, and reduce the time you need to spend studying. This thorough review of standard college courses in trigonometry has been updated to reflect the...
  • №284
  • 3,58 МБ
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Sixth Edition. — McGraw-Hill Education, 2018. — 214 p. — ISBN 978-1-26-001149-4. Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too pricey? Fortunately, there's Schaum's. This all-in-one-package includes more than 600 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos...
  • №285
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Third edition. — Fort Valley State University, 1998. — 212 p. The book is complete in itself and can be used equally well by those who are studying trigonometry for the first time and those who are reviewing the fundamental principles and procedures of trigonometry. Each chapter contains a summary of the necessary definitions and theorems followed by a solved set of...
  • №286
  • 9,26 МБ
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Springer, 2019. — 395 p. — (Signals and Communication Technology). — ISBN 3030025195. This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical...
  • №287
  • 7,78 МБ
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Springer, 2019. — 395 p. — (Signals and Communication Technology). — ISBN 3030025195. This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical...
  • №288
  • 42,96 МБ
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Издательство Springer, 2014, -397 pp. The first conference of the Geometric Sciences of Information (GSI, website at http://www.gsi2013.org/ includes slides and photos) took place downtown Paris (France), in August 2013. The call for papers received an enthusiastic worldwide response, resulting in about a 100 accepted submissions of an average length of eight pages, and organized...
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  • 5,47 МБ
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European Mathematical Society, 2012. — 203 p. — (EMS Textbooks in Mathematics) — ISBN: 3037191120 Large scale geometry is the study of geometric objects viewed from a great distance. The idea of large scale geometry can be traced back to Mostow's work on rigidity and the work of varc, Milnor, and Wolf on growth of groups. In the last decades, large scale geometry has found...
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2nd edition. — Cambridge University Press, 1998. — 358 p. This is the newly revised and expanded edition of the popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation,...
  • №291
  • 3,88 МБ
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Cambridge: Cambridge University Press, 2005. — 249 p. — (Cambridge tracts in mathematics 165). — ISBN 978-0-511-54314-2, 978-0-521-83186-4, 0-521-83186-5 Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. In this book, the authors’ main goal is to emphasize connections between classical projective differential geometry and contemporary...
  • №292
  • 968,72 КБ
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New York: Wiley, 1995. — 374 p. A complete, self-contained introduction to a powerful and resurging mathematical discipline . Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes Toth, Rogers, and Erd?s. Nearly half the results presented in...
  • №293
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Dover Publications, 1988. - 464 pages. Lucid, well-written introduction to elementary geometry usually included in undergraduate and first-year graduate courses in mathematics. Topics include vector algebra in the plane, circles and coaxial systems, mappings of the Euclidean plane, similitudes, isometries, mappings of the intensive plane, much more. Includes over 500...
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Springer, 1992. - 468 p. - Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating...
  • №295
  • 17,53 МБ
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Springer, 1992. - 513 p. - Fractals for the Classroom breaks new ground as it brings an exciting branch of mathematics into the classroom. The book is a collection of independent chapters on the major concepts related to the science and mathematics of fractals. Written at the mathematical level of an advanced secondary student, Fractals for the Classroom includes many fascinating...
  • №296
  • 10,85 МБ
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Springer, 1991. - 136 p. - This first volume of strategic activities is designed to develop through a hands-on approach, a basic mathematical understanding and appreciation of fractals. The concepts presented on fractals include self-similarity, the chaos game, and complexity as it relates to fractal dimension. These strategic activities have been developed from a sound...
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  • 5,15 МБ
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Springer, 1992. - 194 p. - This second volume of strategic classroom activities is designed to develop, through a hands-on approach, a basic mathematical understanding and appreciation of fractals. The concepts presented on fractals include self-similarity, the chaos game, and complexity as it relates to fractal dimension. These strategic activities have been developed from a...
  • №298
  • 9,21 МБ
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Springer, 1988. - 326 Pages. This old book is a timeless gem. It goes into the details of the mathematics of fractals and also shows well-commented C code for producing fractal imagery along with good color illustrations. Chapter 1, "Fractals in Nature", uses computer generated images to build a visual intuition for fractal as opposed to Euclidian shapes. There is also a...
  • №299
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CreateSpace, 2015. — 190 p. The Author: Anton Petrunin (Russia), professor at Penn. State University The book is meant to be rigorous, conservative, elementary and minimalistic. At the same time it includes about the maximum what students can absorb in one semester. Approximately third of the material used to be covered in high school, not any more. The present book is based...
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  • 1,32 МБ
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ArXiv.com, 2018. - 203 p. The Author: Anton Petrunin (Russia), professor at Penn. State University The book is meant to be rigorous, conservative, elementary and minimalistic. At the same time it includes about the maximum what students can absorb in one semester. Approximately third of the material used to be covered in high school, not any more. The present book is based on the...
  • №301
  • 1,68 МБ
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ArXiv, 2017. — 140 p. Problems for the graduate students who want to improve their problem solving skills in geometry. This collection is about ideas, and it is not about theory. An idea might feel more comfortable in a suitable theory, but it has its own live and history and can speak for itself — I hope you will hear it. I am collecting these problems for fun, but they might be...
  • №302
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World Scientific Publishing Co., 1995. — 450 p. — ISBN-13 978-9810214265. This book will allow you to travel through time and space. To facilitate your journey, the editor has scoured the four corners of the earth in a quest for unusual people and their fascinating patterns. From Mozambique, to Asia, to many European countries, the contributors to The Pattern Book include...
  • №303
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Springer, 1998. — 302 p. — (Universitext). — ISBN: 146126426X, 9781461264262 +OCR How do you convey to your students, colleagues and friends some of the beauty of the kind of mathematics you are obsessed with? If you are a mathematician interested in finite or topological geometry and combinatorial designs, you could start by showing them some of the (400+) pictures in the...
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Cambridge University Press, 1981. — 500 pages. ISBN: 0521298393 The earlier chapter of this self-contained text provide a route from first principles through standard linear and quadratic algebra to geometric algebra, with Clifford's geometric algebras taking pride of place. In parallel with this is an account, also from first principles, of the elementary theory of topological...
  • №305
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Springer Science & Business Media, 2002. — 263 p. — ISBN: 1930190859. State curriculum standards are mandating more coverage of geometry, as are the curricula for pre–service mathematics education and in–service teaching. Yet many secondary teachers know just enough geometry to stay one chapter ahead of their students! What′s more, most college–level geometry texts don′t...
  • №306
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Prometheus Books, 2012. — 387 p. — ISBN: 1616145870. Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry. Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure...
  • №307
  • 9,92 МБ
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Dover Publications, 1996. - 256 pages. Stimulating collection of unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and many other topics. Challenges are arranged in order of difficulty and detailed solutions are included for all. An invaluable...
  • №308
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Springer – 2010, 572 pages, with 264 figures. ISBN: 9783540420583 The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces. This book covers line geometry from...
  • №309
  • 55,98 МБ
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New York: Dover Publications, 2017. — 128 p. The goal of this book is to provide insight into some enjoyable and fascinating aspects of geometry, and to reveal many interesƟng geometrical properties. The topics cover well-known properties and theorems, including classic examples such as Archimedes’s Law of the Lever, Heron’s formula, Brahmagupta’s formula, Appollonius’s Theorem,...
  • №310
  • 8,29 МБ
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American Mathematical Society, USA, 2013. — 298 p. — (Contemporary mathematics 598) — ISBN 0821887386. This volume contains the proceedings of the AMS Special Session on Radon Transforms and Geometric Analysis, in honour of Sigurdur Helgason's 85th Birthday, held from January 4-7, 2012, in Boston, MA, and the Tufts University Workshop on Geometric Analysis on Euclidean and...
  • №311
  • 3,56 МБ
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Birkhäuser Verlag AG, 2007. — 225 p. — ISBN: 9783764375171 This book follows Felix Klein’s proposal of studying geometry by looking at the symmetries (or rigid motions) of the space in question. In this way the classical geometries are studied: Euclidean, affine, elliptic, projective and hyperbolic. For simplicity the focus is on the two-dimensional case, which is already rich...
  • №312
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New York: Springer, 1995. - 289p. This book is an introduction to hyperbolic and differential geometry that provides material in the early chapters that can serve as a textbook for a standard upper division course on hyperbolic geometry. For that material, the students need to be familiar with calculus and linear algebra and willing to accept one advanced theorem from analysis...
  • №313
  • 12,29 МБ
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Pergamon Press, 1968. — 410 p. — ISBN: N/A What is our space like? How is it constructed? These are the questions of crucial importance that geometers have been striving to answer throughout the whole period of our civilization, and efforts made in this direction have been almost continuous. It was a great achievement and to the benefit of mankind when in the last century this...
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Springer, 2011. - 538 pages. Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this...
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Springer, 2012. — 473 p. — ISBN: 3540349243. На англ. языке. Cinderella.2 это программный пакет для использования в аналитической геометрии. Cinderella.2, the new version of the well-known interactive geometry software , has become an even more versatile tool than its predecessor. It now consists of three connected parts: An enhanced geometry component with new features...
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  • 27,67 МБ
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Zürich: ETH, 2017. — 310 p. These are notes for the lecture course “Differential Geometry I” given by the second author at ETH Zürich in the fall semester 2017. They are based on a lecture course given by the first author at the University of Wisconsin–Madison in the fall semester 1983. What is Differential Geometry ? Foundations. The Levi-Civita Connection. Geodesics. Curvature....
  • №317
  • 2,30 МБ
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Cambridge: Cambridge University Press, 1975. - 149 p. Symmetry provides an insight into the way nature works and is often used by scientists and technologists to help solve problems. Symmetry has numerous other applications as well — with more being discovered all the time in science, the arts and other fields of human endeavor. This classic work provides an excellent...
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Springer, 2014. — 243 p. — ISBN: 9783319046747 This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, and osculation; the articles in the applications portion concern some particular problems of the theory of dynamical...
  • №319
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Cambridge: Cambridge University Press, 1986. - 215p. This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle...
  • №320
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New York: Kluwer Academic Publishers. – 2004. – 330 p. As K. Nomizu has justly noted, Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. The detailed consideration of involutive sums of Lie algebras has shown, however, that their role is more...
  • №321
  • 10,14 МБ
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North Holland, 1999. — 1088 p. — ISBN 0444825371 Computational Geometry is an area that provides solutions to geometric problems which arise in applications including Geographic Information Systems, Robotics and Computer Graphics. This Handbook provides an overview of key concepts and results in Computational Geometry. It may serve as a reference and study guide to the field....
  • №322
  • 14,84 МБ
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Saarbrücken: LAP LAMBERT Academic Publishing, 2013. — 220 p. In contrast with quantum theory, classical field theory can be formulated in a strict mathematical way by treating classical fields and dynamic variables as sections of smooth fiber bundles. This book aims to compile the relevant material on fiber bundles, jet manifolds, connections, graded manifolds and Lagrangian...
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  • 1,84 МБ
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John Wiley & Sons, 2003. - 320 pages. Advances in Geometric Modeling illustrates the significance of Geometric Modeling in construction, design and manufacture, in not only the traditional industries such as automobile and aircraft manufacturing, but also in modern industry. This includes CAD/CAM, Computer Art, Entertainment, Education and Training, Visualization, robotics,...
  • №324
  • 15,30 МБ
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HarperCollins Publishers Inc., 2008. - 387 p. Combining a rich historical narrative with his own personal journey as a mathematician, Marcus du Sautoy takes a unique look into the mathematical mind as he explores deep conjectures about symmetry and brings us face-to-face with the oddball mathematicians, both past and present, who have battled to understand symmetry's elusive...
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  • 5,21 МБ
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Philadelphia: American Mathematical Society, 2011. — 330 p. This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. The main idea is to get to some interesting mathematics without too much...
  • №326
  • 4,07 МБ
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Philadelphia: American Mathematical Society, 2014. — 226 p. A polytope exchange transformation is a (discontinuous) map from a polytope to itself that is a translation wherever it is defined. The 1-dimensional examples, interval exchange transformations, have been studied fruitfully for many years and have deep connections to other areas of mathematics, such as Teichmuller theory....
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  • 1,21 МБ
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Oxford: Clarendon Press. – 1963. – 404 p. This book is intended primarily for the use of students reading for an honours degree in mathematics, and our aim in writing it has been to give a rigorous and systematic account of projective geometry, which will enable the reader without undue difficulty to grasp the fundamental ideas of the subject and to learn to apply them with...
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Издательство Springer, 2008, -272 pp. Algebraic curves and surfaces are an old topic of geometric and algebraic investigation. They have found applications for instance in ancient and modern architectural designs, in number theoretic problems, in models of biological shapes, in error-correcting codes, and in cryptographic algorithms. Recently they have gained additional...
  • №329
  • 2,21 МБ
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Emeryville, USA: Key Curriculum Press, 2008. — 837 p. — ISBN 1559538821. Discovering Geometry includes all of the teaching resources necessary to enrich learning and to make the teaching experience more rewarding. In addition to a comprehensive, wraparound-style Teacher's Edition, you'll receive a spectrum of evaluation and assessment tools that let all students demonstrate what...
  • №330
  • 32,02 МБ
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Springer, 2013. — 326 p. — 3rd ed. — ISBN: 3642379559, 9783642379550 Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other...
  • №331
  • 5,18 МБ
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Springer, 2013. — 262 p. — 3rd ed. — ISBN: 3642380093, 9783642380099 Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other...
  • №332
  • 3,88 МБ
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VSP, Utrecht, The Netherlands, 1994. Stimulated by internal demands of mathematics, in recent years integral geometry has gain a powerful impetus from computer tomography. Now integral geometry serves as the mathematical background for tomography which in turn provides most of the problems for the former. The book deals with integral geometry of symmetric tensor fields. This...
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  • 1,09 МБ
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Springer, 2010. - 676 pages. The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphic images of them) are characterized in this book by simple local axioms on points and lines. Simple point-line...
  • №334
  • 3,98 МБ
  • дата добавления неизвестна
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Addison Wesley, 1997. — ISBN: 0201874504, 9780201874501 This survey text with a historical emphasis supports several different courses. It includes group projects involving the use of technology or verbal/written responses. The text strives to build both students' intuition and reasoning. It is ideal for junior and senior level courses. Contents: Euclidean Geometry...
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  • 5,02 МБ
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Washington: The Mathematical Association of America, 2015. — 586 p. Geometry combines visual delights and powerful abstractions, concrete intuitions and general theories, historical perspective and contemporary applications, and surprising insights and satisfying certainty. In this textbook, I try to weave together these facets of geometry. I also want to convey the multiple...
  • №336
  • 13,20 МБ
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2nd Edition. — Springer Science+Business Media, LLC, 2009. — 534 p. — (Graduate Texts in Mathematics 106) — ISBN 0387094938. The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic...
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  • 2,95 МБ
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Springer, 1992. — x, 281 p. — (Undergraduate Texts in Mathematics). The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics. The book’s accessibility, the informal writing style, and a wealth...
  • №338
  • 3,04 МБ
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Second Edition. — Springer, 2015. — 349 p. — ISBN 978-3-319-18587-3. The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort...
  • №339
  • 3,28 МБ
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Thomson, 1973. — 371 p. — ISBN: 0818500514, 9780818500510 This comprehensive, best-selling text focuses on the study of many different geometries - rather than a single geometry - and is thoroughly modern in its approach. Each chapter is essentially a short course on one aspect of modern geometry, including finite geometries, the geometry of transformations, convexity, advanced...
  • №340
  • 10,38 МБ
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Издательство John Wiley, 2000, -507 pp. This book is a text for an upper-division general geometry course offered by many universities. It builds on knowledge gained in school and lower-division university courses, to introduce advanced geometry, emphasizing transformations and symmetry groups in two and three dimensions. These theories underly many fields of advanced...
  • №341
  • 7,09 МБ
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Birkhauser, 2013. — 373 p. The first book of its kind uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction,...
  • №342
  • 5,41 МБ
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Springer, 2010. - 348 pages, ISBN 978-0-387-75470-3 Originally published by Center of Excellence, 1991. This is a reprinting with updates to the material and corrections. Geometric Etudes in Combinatorial Mathematics is not only educational, it is inspirational. This distinguished mathematician captivates the young readers, propelling them to search for solutions of life’s...
  • №343
  • 3,92 МБ
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Springer, 2009. - 176 pages. This delightful book considers and solves many problems in dividing triangles into n congruent pieces and also into similar pieces, as well as many extremal problems about placing points in convex figures. The book is primarily meant for clever high school students and college students interested in geometry, but even mature mathematicians will find...
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  • 1,57 МБ
  • дата добавления неизвестна
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World Scientific, 2015. — 415 p. This book provides a systematic treatment of algebraic and topological properties of convex sets (possibly nonclosed or unbounded) in the ndimensional Euclidean space. Topics under consideration include general properties of convex sets and convex hulls, cones and conic hulls, polyhedral sets, the extreme structure, support and separation...
  • №345
  • 5,26 МБ
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Chicago: The Open Court Publishing Co., 1919. – 274 p. Table of Contents Preface Historical Elementary Hyperbolic Geometry Elliptic Geometry Analytical Geometry Representations of Non-Euclidean Geometry in Euclidean Space "Space-Curvature" and the Philosophical Bearing of Non-Euclidean Geometry Radical Axes, Homothetic Centres, and Systems of Circles Inversion and...
  • №346
  • 13,13 МБ
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Pergamon Press Ltd., 1963. — 143 p. This textbook contains a treatment of the various topics in analytical geometry which are required for the advanced and scholarship levels in mathematics of the various Examining Boards. The text begins with a chapter on coordinates, distance, ratio, area of a triangle and the concept of a locus. This is followed by chapters on the straight...
  • №347
  • 4,19 МБ
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Basel: Birkhäuser, 2016. - 527p. Provides a complete and rigorous axiomatic treatment of Euclidean geometry Proofs for many theorems are worked out in detail Takes a modern approach by replacing congruence axioms with a transformational definition of congruence In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using...
  • №348
  • 6,16 МБ
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Sudbury: Jones and Bartlett Publishers, 2008. — 272 p. Stahl's Second Edition continues to provide students with the elementary and constructive development of modern geometry that brings them closer to current geometric research At the same time, repeated use is made of high school geometry, algebra, trigonometry, and calculus, thus reinforcing the students' understanding of...
  • №349
  • 43,64 МБ
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Prentice Hall, 1964. — 400 p. This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats...
  • №350
  • 3,15 МБ
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Springer, 1992. - 228p. - ISBN 0-387-97743-0 The geometry of surfaces is an ideal starting point for learning geometry, for, among other reasons, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no...
  • №351
  • 5,50 МБ
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Springer, 2005. - 241p. - ISBN-10: 0-387-25530-3 This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
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Chichester: John Wiley & Sons, 1994. — 389 p. — ISBN 0-471-93757-6 In Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the...
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Springer, 2012. — 240 pages. — ISBN: 1461402980 This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a...
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Berlin: Heldermann Verlag, 1992. — 239 p. The author starts with the introduction of vector spaces, sesquilinear forms, and then studies the classical groups - special linear, symplectic, unitary and orthogonal groups - along the lines of E. Artin. Emphasis is placed on the "building" of the groups and their corresponding BN-pairs. Symplectic groups, unitary groups, orthogonal...
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4th ed. — McGraw-Hill, 2009. — 337 p. — ISBN 978-0-07-154413-9. For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments...
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Mathematical Sciences Research Institute, 2002. — 379 pages. The author's intent is to describe the very strong connection between geometry and lowdimensional topology in a way which will be useful and accessible (with some effort) to graduate students and mathematicians working in related fields, particularly 3-manifolds and Kleinian groups.
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London: Pitman, 1947. — 153 p. A classical course of projective geometry. Contents: Preface Introduction Linear Spaces and Coordinate Systems The Conic The Quadratic, Twisted Cubic and Linear Complex General Theory of Linear Collineations Linear Systems of Conic ans Quadratics Invariants and Covariants of Conics and Quadratics Miscellanious Examples Index
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Springer, 2012. — 202 p. — (Springer Monographs in Mathematics). — ISBN 3642256198. One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not; i.e. does its derivative have maximal rank everywhere. The purpose of this monograph is to present an elementary proof of this very fundamental and...
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Boca Raton: CRC Press, 2014. - 235 p. Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics...
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Chapman & Hall/CRC, 2014. — 232 p. — (Textbooks in mathematics). —ISBN: 9781482234718, 1482234718. Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The...
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World Scientific Publishing, 2017. — 308 p. — ISBN: 978-981-3109-08-7. The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lichnerowicz–Obata's theorem on the...
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Cambridge: Cambridge University Press, 2014. - 166p. This book provides a lucid exposition of the connections between non-commutative geometry and the famous Riemann Hypothesis, focusing on the theory of one-dimensional varieties over a finite field. The reader will encounter many important aspects of the theory, such as Bombieri's proof of the Riemann Hypothesis for function...
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New York: Blaisdel, 2007. - 353p. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
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New York: Blaisdell, 2007. - 520p. An Unabridged Printing, To Include All Exercises: Foundations - Elementary Theorems On Order - The Affine Group In The Plane - Euclidean Plane Geometry - Ordinal And Metric Properties Of Conics - Inversion Geometry And Related Topics - Comprehensive Index
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2nd Edition. — Pearson Education, 2011. — 408 p. Foundations of Geometry, Second Edition is written to help enrich the education of all mathematics majors and facilitate a smooth transition into more advanced mathematics courses. The text also implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers —...
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Springer, 2013. — 465 p. — ISBN 9401039992. Integral geometry deals with the problem of determining functions by their integrals over given families of sets. These integrals define the corresponding integral transform and one of the main questions in integral geometry asks when this transform is injective. On the other hand, when we work with complex measures or forms, operators...
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CRC Press, 1993, Pages: 388. CRC Standard Curves and Surfaces is a comprehensive illustrated catalog of curves and surfaces of geometric figures and algebraic, transcendental, and integral equations used in elementary and advanced mathematics. More than 800 graphics images are featured. Based on the successful CRC Handbook of Mathematical Curves and Surfaces, this new volume...
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2nd Edition. — Taylor & Francis Group, 2006. — 556 p. — ISBN: 1584885998 Since the publication of the first edition, Mathematica® has matured considerably and the computing power of desktop computers has increased greatly. This enables the presentation of more complex curves and surfaces as well as the efficient computation of formerly prohibitive graphical plots. Incorporating...
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Springer International Publishing AG, 2017. — 199 p. — (Universitext) — ISBN 978-3-319-65905-3. Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers. This sophisticated topic is elegantly presented with enough background theory included to make the text accessible to advanced graduate students in...
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The Mathematical Association of America, 1996. - 108 p. - We are all familiar with the everyday notion of two-sided symmetry, as viewed for example in the external form of the human body. But in its broadest interpretation symmetry is a property which involves regularity and repetition. In this sense symmetry can be found everywhere, especially in science and art. The aim of this...
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The Mathematical Association of America, 2001. - 133 Pages. The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. In this way, the Golden Section is no isolated phenomenon but rather, in many cases. the first and also the simplest...
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University Of Chicago Press, 1998. - 126 Pages. Every advanced undergraduate and graduate student of physics must master the concepts of vectors and vector analysis. Yet most books cover this topic by merely repeating the introductory-level treatment based on a limited algebraic or analytic view of the subject. Geometrical Vectors introduces a more sophisticated approach,...
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