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N.-Y.: The Mathematical Association of America, 1997. — 384 p. Professor Aaboe gives here the reader a feeling for the universality of important mathematics, putting each chosen topic into its proper setting, thus bringing out the continuity and cumulative nature of mathematical knowledge. The material he selects is mathematically elementary, yet exhibits the depth that is...
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Birkhäuser, 2016. — 258 p. This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures. The collection spans the first 100 years of modern logic and is dedicated to the memory of Irving Anellis, founder of the journal 'Modern Logic', whose academic work was essential in promoting the algebraic...
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World Scientific Publishing Co. Re. Ltd., 2000. — 230 p. — ISBN-10 9810244045. A reference on the history of chaos theory, told by the pioneers themselves. It also provides a historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time - two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham,...
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Dеlta, 1997. — 160 p. Over three hundred years ago, a French scholar scribbled a simple theorem in the margin of a book. It would become the world's most baffling mathematical mystery. Born in 1601, Pierre de Fermat lived a quiet life as a civil servant in Toulouse, France. In his spare time, however, Fermat dabbled in mathematics, and somehow managed to become one of the...
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N.Y.: Springer, 2014. — 495 p. ​The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the...
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Springer, 2014. — 495 p. — ISBN 3319108697, 9783319108698 The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each...
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New York: Scientific American/Farrar, Straus and Giroux, 2014. — 805 p. On August 10, 1632, five leading Jesuits convened in a sombre Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct and limitlessly tiny parts. The doctrine would become the foundation of calculus, but on that fateful day the judges ruled that it was forbidden. With...
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Springer, 2003. — 667 S., 230 Abb., 44 Abb. in Farbe. Die Autoren beschreiben die Entstehung, Entwicklung und Wandlung der Algebra als Teil unserer Kulturgeschichte. Ursprünge, Anstöße und die Entwicklung algebraischer Begriffe und Methoden werden in enger Verflechtung mit historischen Ereignissen und menschlichen Schicksalen dargestellt. Ein erster Spannungsbogen reicht von den...
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Springer-Spektrum, 2014. — 754 S., 315 Abb., 242 Abb. in Farbe. Текст розпізнаний, що дає можливість пошуку фрагментів тексту по ключовим словам. Die Entstehung, Entwicklung und Wandlung der Algebra als Teil unserer Kulturgeschichte beschreiben Wissenschaftler von fünf Universitäten. Ursprünge, Anstöße und die Entwicklung algebraischer Begriffe und Methoden werden in enger...
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Springer, 2007. — 812 p. This monograph describes how the understanding of the geometry behind perspective evolved between the years 1435 and 1800 and how new insights within the mathematical theory of perspective influenced the way the discipline was presented in textbooks. In order to throw light on these issues, the author has chosen to focus on a number of key questions,...
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The Mathematical Association of America, 2004. — 398 p. — ISBN-10 0883855461, ISBN-13 978-0883855461. Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time, as viewed by distinguished historians of mathematics from the past and the present. Each of the...
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The Mathematical Association of America, 2009. — 433 p. — ISBN-10 0883855690, ISBN-13 978-0883855690. This book picks up the history of mathematics from where Sherlock Holmes in Babylon left it. The forty articles of Who Gave You the Epsilon? continue the story of the development of mathematics into the nineteenth and twentieth centuries. The articles have all been published in...
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Springer, 1994. — 261 p. Mathematics is a wonderfully austere science, but it also has a very human side. It is embedded in a colorful history filled with extraordinary personalities, deep philosophical debates, and breath-taking advances in knowledge. This book offers a brief but penetrating synopsis of that history.
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Springer, 2009. — 487 p. Vladimir Arnold is one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This first volume of his Collected Works focuses on representations of functions, celestial mechanics, and KAM theory. On the...
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Springer, 2014. — 464 p. Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry. A variational principle...
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N.Y.: Springer, 1999. — 349 p. This book is for all lovers of mathematics. It is an attempt to under­ stand the nature of mathematics from the point of view of its most important early source. Even if the material covered by Euclid may be considered elementary for the most part, the way in which he presents it has set the standard for more than two thousand years. Knowing Euclid's...
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New York: Prometheus Books, 2014. — 251 p. — ISBN 1616140917. In this accessible and illuminating study of how the science of mathematics developed, a veteran math researcher and educator looks at the ways in which our evolutionary makeup is both a help and a hindrance to the study of math. Artstein chronicles the discovery of important mathematical connections between...
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Belmont: Wadsworth, 1994. — 107 p. On this truly one-of-a-kind book, Ascher introduces the mathematical ideas of people in traditional, or "small-scale", cultures often omitted from discussion of mathematics. Topics such as "Numbers: Words and Symbols", "Tracing Graphs in the Sand", "The Logic of Kin Relations", "Chance and Strategy in Games and Puzzles", and "The Organization and...
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University of Minnesota Press, 1988. — 320 p. History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of...
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2nd ed. — World Scientific, 2003. — 806 p. Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics — and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so...
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Springer, 2017. — 368 p. — (Progress in Mathematics). — ISBN 978-3-319-59938-0. This volume is a tribute to Maxim Kontsevich, one of the most original and influential mathematicians of our time. Maxim’s vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives over finite fields, and has brought forth a paradigm...
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Springer, 2019. — 246 p. — ISBN 978 3030149498. Jamshīd al-Kāshī’s Miftāḥ al-Ḥisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This book begins a multi-volume set that finally brings al-Kāshī’s groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern...
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New York: Springer, 2019. — 446 p. This book seeks to explore the history of descriptive geometry in relation to its circulation in the 19th century, which had been favoured by the transfers of the model of the École Polytechnique to other countries. The book also covers the diffusion of its teaching from higher instruction to technical and secondary teaching. In relation to that,...
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Thunder's Mouth Press, 2006. — 288 p. — ISBN 1560257067. Now regarded as the bane of many college students’ existence, calculus was one of the most important mathematical innovations of the seventeenth century. But a dispute over its discovery sewed the seeds of discontent between two of the greatest scientific giants of all time — Sir Isaac Newton and Gottfried Wilhelm Leibniz....
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New York: Thunder’s Mouth Press, 2006. — 295 p. — ISBN 9781560257066, 1560257067. Now regarded as the bane of many college students' existence, calculus was one of the most important mathematical innovations of the seventeenth century. But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and...
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Dover Publications, 1987. — 304 pages. ISBN: 0486653714 This historical account begins with the Greek, Hindu, and Arabic sources that constituted the framework for the development of infinitesimal methods in the 17th century. Subsequent chapters discuss the arithmetization of integration methods, the role of investigation of special curves, concepts of tangent and arc, the...
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Back Bay Books, 1992. — 317 p. British mathematician Barrow ( Theories of Everything ) here commands an elegant modern style in describing a more classical, structured grammar: that of numbers. This broad history of - and reflection upon - the role of mathematics in the human enterprise of figuring reality spans recorded civilization. Barrow examines hash marks made on bones that...
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Springer, 2010. — 330 p. — ISBN 978-3-642-13606-1. Steps forward in mathematics often reverberate in other scientific disciplines, and give rise to innovative conceptual developments or find surprising technological applications. This volume brings to the forefront some of the proponents of the mathematics of the twentieth century, who have put at our disposal new and powerful...
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Washington, D.C.: National Council of Teachers of Mathematics, 1969. — 524 p. Contents: Jones, P. S. The history of mathematics as a teaching tool. Gundlach, B. H. The history of numbers and numerals. Davis, H. T. The history of computation. Eves, H. The history of geometry. Baumgart, J. K. The history of algebra. Kennedy, E. S. The history of trigonometry. Boyer, C. B. The...
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N.Y.: St. Martin's Press, 1971. — 203 p. The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress - and also when it did not, because science was being stifled by militarism or religious fanaticism. Dawn. The...
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Springer, 2017. — 405 p. This collection of refereed papers celebrates the contributions, achievements, and progress of female mathematicians, mostly in the 20th and 21st centuries. Emerging from the themed paper session “The Contributions of Women to Mathematics: 100 Years and Counting” at MAA's 2015 MathFest, this volume contains a diverse mix of current scholarship and...
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Basel: Birkhäuser, 1998. — 216 p. This little book is conceived as a service to mathematicians attending the 1998 International Congress of Mathematicians in Berlin. It presents a comprehensive, condensed overview of mathematical activity in Berlin, from Leibniz almost to the present day (without, however, including biographies of living mathematicians). Since many towering...
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New York; London: McGraw-Hill Book Company, 1945. — 651 p. In all historic times all civilized peoples have striven toward mathematics. The prehistoric origins are as irrecoverable as those of language and art, and even the civilized beginnings can only be conjectured from the behavior of primitive peoples today. Whatever its source, mathematics has come down to the present by the...
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Boston: Kluwer, 1999. — 251 p. — (The Western Ontario Series in Philosophy of Science). — ISBN 978-9401142090, 978-1402000072. A compact survey, at the elementary level, of some of the most important concepts of mathematics. Attention is paid to their technical features, historical development and broader philosophical significance. Each of the various branches of mathematics is...
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CRC Press, 2011. — 266 p. — ISBN 156881349X. Extensively researched, this book traces the life and work of Abraham De Moivre as well as the state of probability and statistics in eighteenth-century Britain. It is the first extensive biography of De Moivre and is based on recently discovered material and translations, including some of De Moivre’s letters. The book begins with...
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New York: Springer, 2013. — 210 p. This book presents episodes from the mathematics of medieval Islam, work which has had a great impact on the development of mathematics. The author describes the subject in its proper historical context, referring to specific Arabic texts. Among the topics discussed are decimal arithmetic, plane and spherical trigonometry, algebra,...
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2nd ed. — Springer, 2000. — 752 p. — ISBN 0387989463, 1475732422. A complete history of pi from the dawn of mathematical time to the present, reflecting the most seminal, the most serious and sometimes the silliest aspects of mathematics. Pi is one of the few concepts in mathematics whose mention evokes a response of recognition and interest in those not concerned professionally...
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Illustre l'histoire des mathématiques par un ouvrage sur D’Alembert (1889). ISBN: 0-543-89690-0 Joseph Louis François Bertrand, né le 11 mars 1822 à Paris au 52 rue Saint-André-des-Arts, et mort le 3 avril 1900 à Paris, est un mathématicien, économiste et historien des sciences français. Жозеф Бертран - французский математик, экономист и историк наук. В этой книге он...
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Oxford University Press, 1999. — 240 p. First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and...
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N.Y.: Wiley, 2012. — 424 p. Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of...
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Academic Press, 2017. — 275 p. — ISBN 978-0-12-813237-1. This book analyzes a mathematical and philosophical conflict between classical and early modern mathematics. In the late 17th century, mathematics was at the brink of an identity crisis. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and...
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Springer, 1992. — 304 p. This volurne contains a selection of articles based on lectures presented at the international Conference "1830-1930: Un Siecle de Geometrie: de C.F. Gauss et B. Riemann a H. Poincare et E. Cartan; episternologie, histoire et mathematiques ', which was held in Paris, 18-23 September 1989, at the Institut Henri Poincare. The conference took risks by...
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Springer, 2006. — 553 p. This book contains several contributions on the most outstanding events in the development of twentieth century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a considerable role. The articles are written in an informal style, from mathematical philosophy to the description of the development of...
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AK Peters, 2003. — 350 p. This new approach to mathematics - the utilization of advanced computing technology in mathematical research - is often called experimental mathematics. The computer provides the mathematician with a "laboratory" in which she can perform experiments - analyzing examples, testing out new ideas, or searching for patterns. This book presents the rationale...
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Springer International Publishing AG, 2017. — 362 p. — (Progress in Mathematics 310). — ISBN-10 3319496360. This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of...
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Springer, 1986. — 339 p. — ISBN 0-387-96302-2. This book originated with a series of lectures on nineteenth-century analysis which I gave at the University of Calabria in 1977-79. The study of nineteenth-century mathematics presents an extraordinarily rich and fertile field for historical research, particularly when we realize that the production of mathematics in the last century...
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Springer, 1986. - 339 Pages. This book originated with a series of lectures on nineteenth-century analysis which I gave at the University of Calabria in 1977- 79. The study of nineteenth-century mathematics presents an extraordinarily rich and fertile field for historical research, particularly when we realize that the production of mathematics in the last century was greater...
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Routledge, 2001. — 305 p. This book focuses on some of the major developments in the history of contemporary (19th and 20th century) mathematics as seen in the broader context of the development of science and culture. Avoiding technicalities, it displays the breadth of contrasting images of mathematics favoured by different countries, schools and historical movements, showing how...
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Springer, 2013. — 848 p. This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of...
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Springer, 2007. — 376 p. — ISBN-10 3-540-33938-8 ; ISBN-13 978-3-540-33938-0. Ce volume rassemble les notes historiques parues dans les différents livres des éléments de mathématique de l'auteur. Elles concernent donc l'ensemble des matières abordées dans ce traité : théorie des ensembles, algèbre, topologie, fonctions d'une variable réelle, espaces vectoriels topologiques,...
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N.Y.: Scripta Mathematica, 1956. — 304 p. The earliest contributions. The Alexandrian age. The medieval period. The early modern prelude. Fermat and Descartes. The age of commentaries. From Newton to Euler. The definitive formulation. The golden age.
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2nd edition. — Wilеy, 1989. — 762 p. Boyer and Merzbach distill thousands of years of mathematics into this fascinating chronicle. From the Greeks to Godel, the mathematics is brilliant; the cast of characters is distinguished; the ebb and flow of ideas is everywhere evident. And, while tracing the development of European mathematics, the authors do not overlook the contributions...
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The Mathematical Association of America, 2011. — 248 p. Lobachevski Illuminated provides a historical introduction to non-Euclidean geometry. Lobachevski's trailblazing explorations of non-Euclidean geometry constitute a crucial episode in the history of mathematics, but they were not widely recognized as such until after his death. Within these pages, readers will be guided...
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Springer International Publishing, 2019. — xv+291 p. — (Transcultural Research – Heidelberg Studies on Asia and Europe in a Global Context). — ISBN 978-3-319-93694-9. The book addresses for the first time the dynamics associated with the modernization of mathematics in China from the nineteenth to the mid-twentieth century from a transcultural global historical perspective. Rather...
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World Scientific, 1995. — 699 p. After three decades since the first nearly complete edition of John von Neumann's papers, this book is a valuable selection of those papers and excerpts of his books that are most characteristic of his activity, and reveal that of his continuous influence. The results receiving the 1994 Nobel Prizes in economy deeply rooted in Neumann's game theory...
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New York: McGraw-Hill, 2011. — 819 p. — ISBN 978–0–07–338315–6. The History of Mathematics: An Introduction, Seventh Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David...
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London: William Pickering, 1847. — 273 p. The first six books of the elements of Euclid in which coloured diagrams and symbols are used instead of leatters for the greater base of learners.
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Dover Publication, 2013. — 848 p. This classic study notes the first appearance of a mathematical symbol and its origin, the competition it encountered, its spread among writers in different countries, its rise to popularity, its eventual decline or ultimate survival. The author’s coverage of obsolete notations — and what we can learn from them — is as comprehensive as those which...
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Cosimo Classics, 2007. — 471 p. Described even today as "unsurpassed, " this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes-first published in 1928-9-distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it...
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Cosimo Classics, 2007. — 396 p. Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes-first published in 1928-9-distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it...
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Chelsea Publishing, 1999. — 524 p. Originally issued in 1893, this popular Fifth Edition covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries. In one concise volume this unique book presents an interesting and reliable account of...
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New York: Prentice Hall, 1995. — 818 p. Appropriate for undergraduate and select graduate courses in the history of mathematics, and in the history of science. This edited volume of readings contains more than 130 selections from eminent mathematicians from A `h-mose' to Hilbert and Noether. The chapter introductions comprise a concise history of mathematics based on critical...
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Oxford: Oxford University Press, 2003. — 372 p. — ISBN 978-0198508410. The oldest known mathematical table was found in the ancient Sumerian city of Shuruppag in southern Iraq. Since then, tables have been an important feature of mathematical activity and are important precursors to modern computing and information processing. This book contains a series of articles summarizing...
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London: Routledge, 2006. — 198 p. This book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed on the philosophic and logical systems, from...
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Springer International Publishing, Switzerland, 2016. — (Trends in the History of Science). — ISBN 9783319329925. This book commemorates the 150th birthday of Corrado Segre, one of the founders of the Italian School of Algebraic Geometry and a crucial figure in the history of Algebraic Geometry. It is the outcome of a conference held in Turin, Italy. One of the book's most unique...
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Oxford: Oxford University Press, 2001. — 195 p. In this brilliant account of mathematicians in action, Casti invites readers to scale mathematical peaks as he recreates solutions to the five greatest mathematical problems of all time.
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Springer, 2019. — 265 p. — ISBN 978-3-030-11035-2. Augustin-Louis Cauchy (1789–1857) is responsible for a great many publications, but among his most important works is his textbook of 1823, R esum e des leçons données a l’École royale polytechnique sur le calcul infinitésimal (Summary of Lectures given at the Royal Polytechnic School on the Infinitesimal Calculus). He wrotethe...
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Springer, 2001. — 174 p. This book presents the technical core of Chaitin's theory of program-size complexity, also known as algorithmic information theory. LISP is used to present the key algorithms and to enable computer users to interact with the author's proofs and discover for themselves how they work.
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Oxford: Oxford University Press, 2007. — 578 p. The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers in divided into five main areas: iterative methods for linear systems, solution of least squares problems, matrix factorizations and...
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  • 4,13 МБ
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Cambridge University Press, 2012. — 614 p. — ISBN 110701221X, 9781107012219. This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of...
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World Scientific, 1996. — 707 p. This volume is about the life and work of Shiing-Shen Chern (1911–2004), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after...
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Cambridge University Press, 2010. — 496 p. Acknowledgments. Introduction. Hieroglyphic Systems. Levantine Systems. Italic Systems. Alphabetic Systems. South Asian Systems. Mesopotamian Systems. East Asian Systems. Mesoamerican Systems. Miscellaneous Systems. Cognitive and Structural Analysis. Social and Historical Analysis. Conclusion. Glossary. Bibliography. Index.
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Springer International Publishing AG, 2018. — 389 p. — (ICME-13 Monographs). — ISBN 3319739239. This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main...
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  • 9,15 МБ
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Springer International Publishing AG, 2018. — 296 p. — (ICME-13 Monographs). — ISBN 3319739239. This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main...
  • №74
  • 5,60 МБ
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Birkhäuser/Springer, 2012. — 553 p. The scientific personalities of Luigi Cremona, Eugenio Beltrami, Salvatore Pincherle, Federigo Enriques, Beppo Levi, Giuseppe Vitali, Beniamino Segre and of several other mathematicians who worked in Bologna in the century 1861–1960 are examined by different authors, in some cases providing different view points. Most contributions in the volume...
  • №75
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3rd edition. — Wiley, 2013. — 643 p. — ISBN 978-1-118-21756-6. This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at...
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2nd edition. — Wiley-Interscience, 2005. — 626 p. — ISBN 0471444596 9780471444596. This pragmatic, issues-oriented history traces the discovery, solution, and application of mathematical problems. This study is ideal for undergraduate courses in mathematics and mathematics education. Everyone interested in the field will want to keep a copy of The History of Mathematics close at...
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  • 12,17 МБ
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Oxford University Press, 1990. - 240 pages. This unique history surveys the mathematical contributions of numerous individuals noted mainly for their groundbreaking activities in other fields. It evaluates the discoveries of such luminaries as Plato, Leonardo da Vinci, Omar Khayyam, Jan de Witt, Denis Diderot, William George Horner, Antoine Arnauld, and many others, providing...
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Springer, 2017. — 203 p. This book argues that we can only understand transformations of nature studies in the Scientific Revolution if we take seriously the interaction between practitioners (those who know by doing) and scholars (those who know by thinking). These are not in opposition, however. Theory and practice are end points on a continuum, with some participants interested...
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Oxford University Press, 2015. — 336 p. — ISBN 0198702590. The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn...
  • №80
  • 2,22 МБ
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Oxford University Press, 2015. — 336 p. — ISBN 0198702590. The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn...
  • №81
  • 4,39 МБ
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Basel: Birkhäuser, 2004. — 462 p. The notion of a mathematical structure is among the most pervasive ones in twentieth-century mathematics. Modern Algebra and the Rise of Mathematical Structures describes two stages in the historical development of this notion: first, it traces its rise in the context of algebra from the mid-nineteenth century to its consolidation by 1930, and...
  • №82
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Cambridge: Cambridge University Press, 2010. — 344 p. James Gow's A Short History of Greek Mathematics (1884) provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid,...
  • №83
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White Word Publications, 2012. — 135 p. This book is a complete study to know all about Mathematical Tools. Table of Contents Abacus Calculator Counting Rods Differential Analyser Location Arithmetic Slide Rule Rod Calculus Planimeter Nomogram & Compass (Drafting) Napier's Bones
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  • 4,72 МБ
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Springer, 2008. — 410 p. The 19th century was a key period in the development of the mathematical sciences in Britain. Subjects such as rigid-body dynamics, hydrodynamics, elasticity, optics, heat, electricity and magnetism were extended and given firmer foundations; new areas of pure mathematics were explored; and major advances took place in statistics, astronomy, geology and...
  • №85
  • 5,32 МБ
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Dover, 1985. — 270 p. First published by the University of Notre Dame Press in 1967. On October 16, 1843, Sir William Rowan Hamilton discovered quaternions and, on the very same day, presented his breakthrough to the Royal Irish Academy. Meanwhile, in a less dramatic style, a German high school teacher, Hermann Grassmann, was developing another vectorial system involving...
  • №86
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London: Routledge, 2001. — 302 p. Introduction. Early Greek mathematics: the evidence. Early Greek mathematics: the questions. Hellenistic mathematics: the evidence. Hellenistic mathematics: the questions. Graeco-Roman mathematics: the evidence. Graeco-Roman mathematics: the questions. Late ancient mathematics: the evidence. Late ancient mathematics: the questions. Bibliography.
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A K Peters, 2009. — 240 p. This vividly illustrated history of the International Congress of Mathematicians a meeting of mathematicians from around the world held roughly every four years acts as a visual history of the 25 congresses held between 1897 and 2006, as well as a story of changes in the culture of mathematics over the past century. Because the congress is an...
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American Mathematical Society (AMS), 2019. — 282 p. — (The Carus Mathematical Monographs 34). — ISBN-10 147044383X. Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Whole domains of modern mathematics have arisen from exploration of such connections consider analytic number theory or algebraic topology. Finding Ellipses is...
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2nd ed. — Springer, 1999. — 670 p. From the author: In the Preface to the first edition of his Grammar of Science Karl Pearson, with a cavalier approach to one of the niceties of conventional grammar, wrote: "There are periods in the growth of science when it is well to turn our attention from its imposing superstructure and to carefully examine its foundations." Since statistics...
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New York: Pi Press, 2005. — 415 p. — (The Masterpiece Science Edition). Number is an eloquent, accessible tour de force that reveals how the concept of number evolved from prehistoric times through the twentieth century. Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by...
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Wellesley, USA: A K Peters, Ltd., 2008. — 204 p. — ISBN-13 978-1-56881-441-4. Through revealing photographs and accompanying text, this book offers an enchanting and beautiful glimpse into the inner life of the Institut des Hautes tudes Scientifiques (IHES). The IHES in France is an institute of advanced research in mathematics and theoretical physics with an interest in...
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Princeton University Press, 1988. — 451 p. What did it mean to be reasonable in the Age of Reason? Classical probabilists from Jakob Bernouli through Pierre Simon Laplace intended their theory as an answer to this question--as "nothing more at bottom than good sense reduced to a calculus," in Laplace's words. In terms that can be easily grasped by nonmathematicians, Lorraine...
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New York: Hafner Pub. Co, 1962. — 306 p. The development of gambling techniques led to the beginning of modern statistics, and this absorbing history illustrates the science's rise with vignettes from the lives of Galileo, Fermat, Pascal, and others. Fascinating allusions to the classics, archaeology, biography, poetry, and fiction endow this volume with universal appeal.
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N.Y.: Springer, 2001. — 252 p. This book provides a selection of pioneering papers or extracts ranging from Pascal (1654) to R.A. Fisher (1930). The editors'annotations put the articles in perspective for the modern reader. A special feature of the book is the large number of translations, nearly all made by the authors. There are several reasons for studying the history of...
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Princeton University Press, 1993. — 408 p. This volume explains ideas in mathematics to the non-specialist, highlighting the field's philosophical and historical interest. The main topics discussed are non-Euclidean geometry, number theory, with its application to cryptography, and fractals.
  • №96
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Springer, 2015. — 320 p. — (Trends in the History of Science). — ISBN-10 3319121014. This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca...
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  • 8,27 МБ
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Springer, 2015. — 320 p. — (Trends in the History of Science). — ISBN-10 3319121014. This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca...
  • №98
  • 1,97 МБ
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Birkhäuser, 2016. — 195 p. This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of non-Euclidean...
  • №99
  • 2,44 МБ
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University of Chicago Press, 1995. — 289 p. Although the Scientific Revolution has long been regarded as the beginning of modern science, there has been little consensus about its true character. While the application of mathematics to the study of the natural world has always been recognized as an important factor, the role of experiment has been less clearly understood. Peter...
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  • 8,31 МБ
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Washington: Joseph Henry Press, 2006. - 391 p. "Here is the story of algebra." With this deceptively simple introduction, we begin our journey. Flanked by formulae, shadowed by roots and radicals, but escorted by an expert who navigates unerringly on our behalf, we are guaranteed safe passage through even the most treacherous mathematical terrain. Our first encounter with...
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Washington, D.C.: Joseph Henry Press, 2003. — 447 p. With bookmarks. From amazon.com: In 1859, Bernhard Riemann, a little-known thirty-two year old mathematician, made a hypothesis while presenting a paper to the Berlin Academy titled “On the Number of Prime Numbers Less Than a Given Quantity.” Today, after 150 years of careful research and exhaustive study, the Riemann...
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Washington, D.C.: Joseph Henry Press, 2003. — 422 p. Bernhard Riemann was an underdog of sorts, a malnourished son of a parson who grew up to be the author of one of mathematics' greatest problems. In Prime Obsession, John Derbyshire deals brilliantly with both Riemann's life and that problem: proof of the conjecture, "All non-trivial zeros of the zeta function have real part...
  • №103
  • 3,86 МБ
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Harvard: Harvard University Press, 2010. — 381 p. In this study of the history of statistics, which begins with probability theory in the 17th century, Alain Desrosieres shows how the evolution of modern statistics has been inextricably bound up with the knowledge and power of governments.
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Princeton: Princeton University Press, 2017. — 251 p. In 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today. Although he is most famous for the Fibonacci numbers--which, it so happens, he didn't...
  • №105
  • 4,67 МБ
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New York: Basic Books, 2008. — 202 p. Before the mid-seventeenth century, scholars generally agreed that it was impossible to predict something by calculating mathematical outcomes. One simply could not put a numerical value on the likelihood that a particular event would occur. Even the outcome of something as simple as a dice roll or the likelihood of showers instead of...
  • №106
  • 1,29 МБ
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Berlin: Springer, 1999. — 268 р. The summer school on Mathematics inspired by Biology was held at Martina Franca, Apulia, Italy in 1997. This volume presents five series of six lectures each. The common theme is the role of structure in shaping transient and ultimate dynamics. But the type of structure ranges from spatial (hadeler and maini in the deterministic setting, Durrett...
  • №107
  • 1,99 МБ
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New York: Springer, 2018. — 356 p. Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry. The narrative traces the influence of Euclid’s system of geometry, as developed in his classic text The Elements, through the Arabic period, the modern era in the West, and up to twentieth century mathematics. Axioms and...
  • №108
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New York: Springer, 2018. — 78 p. In this book, the author pays tribute to Bernhard Riemann (1826–1866), mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. This book concentrates in particular on Riemann’s only work on prime numbers,...
  • №109
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New York: Springer, 2018. — 441 p. This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of...
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  • 4,31 МБ
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Cambridge University Press, 2009. — 336 p. Euclid and His Modern Rivals is a deeply convincing testament to the Greek mathematician's teachings of elementary geometry. Published in 1879, it is humorously constructed and written by Charles Dodgson (better known outside the mathematical world as Lewis Carroll, the author of Alice in Wonderland) in the form of an intentionally...
  • №111
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Birkhäuser, 2008. — 474 p. — (Science Networks, Historical Studies 35). — ISBN978-3-7643-8637-5. Silvestre François Lacroix (Paris, 1765 - ibid., 1843) was a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral (1797-1800; 2nd ed. 1810-1819) – an encyclopedic appraisal of 18th-century calculus which...
  • №112
  • 3,14 МБ
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Dover Publications, 1965. — 402 p. Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today’s would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use of logarithm table? No advanced math is required. 100 problems with proofs.
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  • 2,16 МБ
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Dover Publications, 1965. — 393 p. Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today’s would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use of logarithm table? No advanced math is required. 100 problems with proofs.
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  • 10,65 МБ
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Cambridge University Press, 2004. — 244 p. — ISBN 0521524768, 9780521524766. Charles Babbage (1791-1871) is today remembered mainly for his attempt to complete his difference and analytical engines, the principles of which anticipate the major ideas of the modern digital computer. This book describes the evolution of Babbage's work on the design and implementation of the engines...
  • №115
  • 6,89 МБ
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Paris: Ed. Vuibert, 2003. - 419 p. J'ai essayé de me plonger dans l'histoire des mathématiques pour apprendre la langue que parlaient les mathématiciens du passé, pour retrouver les idées qui les guidaient et les méthodes qu'ils utilisaient. Je ne cache pas mon ambition de faire entendre ici les voix de ces savants en leur donnant souvent la parole pour essayer de mieux...
  • №116
  • 8,34 МБ
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The Mathematical Association of America, 1999. — 212 p. Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed,...
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Penguin, 1991. — 315 p. Praise for William Dunhams Journey Through Genius The Great Theorems of Mathematics "Dunham deftly guides the reader through the verbal and logical intricacies of major mathematical questions and proofs, conveying a splendid sense of how the greatest mathematicians from ancient to modern times presented their arguments." —Ivars Peterson Author, The...
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  • 6,02 МБ
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2nd edition. — Princeton: Princeton University Press, 2018. — 257 p. More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the...
  • №119
  • 4,27 МБ
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Pnnceton University Press, 2004. — 256 p. — ISBN 0691095655. More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late...
  • №120
  • 7,97 МБ
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Wiley, 1994. — 311 p. "If you want to encourage anyone's interest in math, get them The Mathematical Universe...it is enchanting to read. "––New Scientist "A fascinating collection of essays that touch every facet of the history of mathematics, this is sure to be one of the largest of the crown jewels of popular mathematics."––Journal of Recreational Mathematics Now in...
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Springer, 1994. — 368 p. This is a lucid account of the highlights in the historical development of the calculus from ancient to modern times from the beginnings of geometry in antiquity to the nonstandard analysis of the twentieth century. It emphasizes the genesis and evolution of both fundamental concepts and computational techniques. The intended audience includes not only...
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  • 2,85 МБ
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New York: Springer, 2017. — 340 p. This book tells one of the greatest stories in the history of school mathematics. Two of the names in the title―Samuel Pepys and Isaac Newton―need no introduction, and this book draws attention to their special contributions to the history of school mathematics. According to Ellerton and Clements, during the last quarter of the seventeenth...
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  • 7,02 МБ
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2nd Edition. — Cambridge University Press, 2013. — 445 p. — (Dover Books on Mathematics). — ISBN 0486600890. — (Translated from the Text of Heiberg With Introduction and Commentary by Heath T.L.). This is the definitive edition of one of the very greatest classics of all time - the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses...
  • №124
  • 14,95 МБ
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2nd Edition. — Cambridge University Press, 2013. — 464 p. — (Dover Books on Mathematics). — ISBN 0486600890. — (Translated from the Text of Heiberg With Introduction and Commentary by Heath T.L.). This is the definitive edition of one of the very greatest classics of all time - the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses...
  • №125
  • 27,43 МБ
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2nd Edition. — Cambridge University Press, 2013. — 564 p. — (Dover Books on Mathematics). — ISBN 0486600904. — (Translated from the Text of Heiberg With Introduction and Commentary by Heath T.L.). This is the definitive edition of one of the very greatest classics of all time-the full Euclid, not an abridgement. Utilizing the text established by Heiberg, Sir Thomas Heath...
  • №126
  • 12,95 МБ
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2nd Edition. — Cambridge University Press, 2013. — 558 p. — (Dover Books on Mathematics). — ISBN 0486600904. — (Translated from the Text of Heiberg With Introduction and Commentary by Heath T.L.). This is the definitive edition of one of the very greatest classics of all time-the full Euclid, not an abridgement. Utilizing the text established by Heiberg, Sir Thomas Heath...
  • №127
  • 16,79 МБ
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2nd Edition. — Cambridge University Press, 2013. — 464 p. — (Dover Books on Mathematics). — ISBN 0486600882. — (Translated from the Text of Heiberg With Introduction and Commentary by Heath T.L.). This is the definitive edition of one of the very greatest classics of all time - the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses...
  • №128
  • 14,35 МБ
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2nd Edition. — Cambridge University Press, 2013. — 434 p. — (Dover Books on Mathematics). — ISBN 0486600882. — (Translated from the Text of Heiberg With Introduction and Commentary by Heath T.L.). This is the definitive edition of one of the very greatest classics of all time - the full Euclid, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses...
  • №129
  • 13,19 МБ
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Springer, 2000. — 211 p. — ISBN 0387985344, 9780387985343. This book constitutes just the first 9 out of 27 chapters. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community. The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite"...
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  • 40,46 МБ
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Holt, Rinehart & Winston, 1969. — 480 p. This classic best-seller by a well-known author introduces mathematics history to math and math education majors. Suggested essay topics and problem studies challenge students. CULTURAL CONNECTIONS sections explain the time and culture in which mathematics developed and evolved. Portraits of mathematicians and material on women in...
  • №131
  • 8,57 МБ
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6th ed. — Cengage Learning, 1990. — 798 p. — ISBN 0030295580. Advantage has been taken in this sixth edition to include a large number of improvements, ranging from historical amplifications and updatings to the introduction of some new sections and the expansion of some old ones. Much new illustrative material has been added and women in mathematics have been given a more...
  • №132
  • 20,64 МБ
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New York: Springer, 1999. — 275 p. This book is intended for students of mathematical statistics who are interested in the early history of their subject. It gives detailed algebraic descriptions of the fitting of linear relationships by the method of least squares (L ) and the related least absolute 2 deviations (L ) and minimax absolute deviations (Loo) procedures. These...
  • №133
  • 10,27 МБ
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Oxford: Oxford University Press, 2013. — 352 p. This is the story of the intellectual and social life of a community, and of its interactions with the wider world. For eight centuries mathematics has been researched and studied at Oxford, and the subject and its teaching have undergone profound changes during that time. This highly readable and beautifully illustrated book reveals...
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Macmillan Press & The Open University, 1987. — 628 p. Today's mathematics is a result of the mathematical activity of many centuries. It has, indeed, a longer history than any other science. Yet obtaining access to the many sources for discovering the mathematical past is not easy. Those that survive are scattered far and wide, and written in all manner of languages. This...
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Springer, 2003. — 270 p. — (Archimedes, Vol. 6). The six essays provide a cross-section of the complex Jesuit encounter with the mathematical sciences during the seventeenth century. Contents: Preface (by Mordechai Feingold). Mathematics and Modesty in the Society of Jesus: The Problems of Christoph Grienberger (by Michael John Gorman). The Grounds for Conflict: Grienberger,...
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Bloomsbury, 2011. The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts. Rather than begin her investigation with a historicist assessment of the non-existent facts, Ferguson holds fast to the reality of Pythagoras, that is, his legacy. In a field...
  • №137
  • 3,81 МБ
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2nd ed. — Birkhäuser/Springer, 2007. — 466 p. — ISBN 978-3-7643-8349-7. Labyrinth of Thought discusses the emergence and development of set theory and the set-theoretic approach to mathematics during the period 1850-1940. Rather than focusing on the pivotal figure of Georg Cantor, it analyzes his work and the emergence of transfinite set theory within the broader context of the...
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Open Court, 1903. — 333 p. This volume is produced from digital images from the Cornell University Library Historical Mathematics Monographs collection. If the history of a science possesses value for every one whom calling or inclination brings into closer relations to it, —if the knowledge of this history is imperative for all who have influence in the further development of...
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  • 2,72 МБ
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Chicago: The Open Court Publishing Company, 1900. — 345 p. Translated by Beman W.W., Smith. D.E. If the history of a science possesses value for every one whom calling or inclination brings into closer relations to it,— if the knowledge of this history is imperative for all who have influence in the further development of scientific principles or the methods of employing them to...
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Springer, 2011. — 402 p. This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a...
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Johns Hopkins University Press, 2015. — 497 p. How did we make reliable predictions before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? In The Science of Conjecture , James Franklin examines how judges, witch...
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Springer International Publishing, Switzerland, 2016. — 297 p. — ISBN: 9783319389448. This monograph explores the early development of the calculus of variations in continental Europe during the Eighteenth Century by illustrating the mathematics of its founders. Closely following the original papers and correspondences of Euler, Lagrange, the Bernoullis, and others, the reader is...
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Springer, 2016. — 566 p. — (Sources and Studies in the History of Mathematics and Physical Sciences). — ISBN 3319445960. This monograph presents in great detail a large number of both unpublished and previously published Babylonian mathematical texts in the cuneiform script. It is a continuation of the work A Remarkable Collection of Babylonian Mathematical Texts (Springer 2007)...
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World Scientific Publishing Company, 2005 — 307 p. Mesopotamian mathematics is known from a great number of cuneiform texts, most of them Old Babylonian, some Late Babylonian or pre-Old-Babylonian, and has been intensively studied during the last couple of decades. In contrast to this Egyptian mathematics is known from only a small number of papyrus texts, and the few books and...
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  • 3,02 МБ
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Basel: Birkhäuser, 2018. — 430 p. — (Science Networks Historical Studies 59). — ISBN 978-3-319-72487-4. While it is well known that the Delian problems are impossible to solve with a straightedge and compass – for example, it is impossible to construct a segment whose length is ∛2 with these instruments – the Italian mathematician Margherita Beloch Piazzolla's discovery in 1934...
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Mathematical Association of America, 2011. — 97 p. The main thread running through this somewhat unorthodox approach to the special theory of relativity is the Pythagorean theorem. It appears in its most elementary geometric form in the very beginning of this monograph. Then it reappears in algebraic garb, is further modified and finally reinterpreted to play the role of one of...
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N.-Y.: CRC Press, 1998. — 411 p. For the first time, a book has brought together in one easily accessible form the best expressed thoughts that are especially illuminating and pertinent to the discipline of mathematics. Mathematically Speaking: A Dictionary of Quotations provides profound, wise, and witty quotes from the most famous to the unknown. You may not find all the...
  • №148
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Basel: Birkhäuser, 2018. — 802 p. — (Studies in Universal Logic). — ISBN 978-3-319-65430-0. This is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world. The papers range from historical considerations to new philosophical, logical and mathematical...
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Springer, 2015. — 249 p. — ISBN 9812871780. Professor Stephen Lerman has been a leader in the field of mathematics education for thirty years. His work is extensive, making many significant contributions to a number of key areas of research. Stephen retired from South Bank University in 2012, where he had worked for over 20 years, though he continues to work at Loughborough...
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  • 3,80 МБ
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Goettingen, 1866. — 505 p. The life of Gauss was very simple in external form. During an austere childhood in a poor and unlettered family he showed extraordinary precocity. Beginning when he was fourteen, a stipend from the duke of Brunswick permitted him to concentrate on intellectual interests for sixteen years. Before the age of twenty-five he was famous as a mathematician and...
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Princeton University Press, 2000. – 320 p. In his successor and companion volume to Gnomon: From Pharaohs to Fractals, Midhat Gazale takes us on a journey from the ancient worlds of the Egyptians, the Mesopotamians, the Mayas, the Greeks, the Hindus, up to the Arab invasion of Europe and the Renaissance. Our guide introduces us to some of the most fascinating and ingenious...
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New York: Dover Publications, 1982 — 288 p. — ISBN 0-486-24315-X. In this carefully researched study, the author examines Egyptian mathematics, demonstrating that although operations were limited in number, they were remarkably adaptable to a great many applications: solution of problems in direct and inverse proportion, linear equations of the first degree, and arithmetical and...
  • №153
  • 7,12 МБ
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New York: Springer, 2017. — 402 p. — (Archimedes, Vol. 49). This book reveals the French scientific contribution to the mathematical theory of nonlinear oscillations and its development. The work offers a critical examination of sources with a focus on the twentieth century, especially the period between the wars. Readers will see that, contrary to what is often written, France's...
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New York: A K Peters/CRC Press, 2008. — 254 p. Strange Attractors is a collection of approximately 150 poems with strong links to mathematics in content, form, or imagery. The common theme is love, and the editors draw from its various manifestations—romantic love, spiritual love, humorous love, love between parents and children, mathematicians in love, love of mathematics. The...
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  • 3,25 МБ
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New York: Springer-Verlag, 1977. – 360 p. — ISBN 0-387-90277-5, ISBN 3-540-90277-5. In this book I have attempted to trace the development of numerical analysis during the period in which the foundations of the modern theory were being laid. To do this I have had to exercise a certain amount of selectivity in choosing and in rejecting both authors and papers. I have rather...
  • №156
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Springer, 2011. — 478 p. This book offers an accessible and in-depth look at some of the most important episodes of two thousand years of mathematical history. Beginning with trigonometry and moving on through logarithms, complex numbers, infinite series, and calculus, this book profiles some of the lesser known but crucial contributors to modern day mathematics. It is unique in...
  • №157
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Hoboken: Wiley, 2016. — 248 p. An easy-to-read presentation of the early history of mathematics. Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book...
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Springer, 2010. — 201 p. — (Archimedes, Vol. 25). Why should mathematics, the purest of sciences, have a history? Medieval mathematicians took little interest in the history of their discipline. Yet in the Renaissance the history of mathematics flourished. This book explores how Renaissance scholars recovered and reconstructed the origins of mathematics by tracing its invention in...
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Berkeley Heights: Enslow Publishers, Inc., 2005. — 130 p. Because more information has survived about Archimedes's contributions than about his life, most of this book wisely focuses on his mathematical observations 22 centuries ago. Descriptions of Syracuse and Alexandria, cities that influenced his social and educational development, introduce readers to ancient Greek society...
  • №160
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The Belknap Press of Harvard University Press, 2009. — 239 р. Книга известных зарубежных специалистов по истории науки в Росии, посвященная становлению Московской математическом школы. Авторы выдвигают и пытаются обосновать свою гипотезу об особой роли религизного мистицизма в форме имяславия для тематики так называемой "Лузитании" - первого этапа формирования современной...
  • №161
  • 1,70 МБ
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N.; Y.: Springer, 2013. — 563 p. This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now...
  • №162
  • 5,18 МБ
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N.Y.: Springer, 2013. — 607 p. This is the most comprehensive survey of the mathematical life of the legendary Paul Erdős (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erdős' research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies...
  • №163
  • 5,81 МБ
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Basel: Birkhäuser, 2016. — 110 p. — ISBN 978-1-4939-3263-4. Provides a comprehensive overview of the major turning points in the history of mathematics, from Ancient Greece to the present Substantial reference lists offer suggestions for resources to learn more about the topics discussed Problems and projects are included in each chapter to extend and increase understanding of the...
  • №164
  • 3,30 МБ
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American Mathematical Society, London Mathematical Society, USA, 2000. — 431 p. — (History of Mathematics 19). — ISBN 0821820311. Grassmann's (1862) Ausdehnunglehre introduces the reader to vectors, spaces and subspaces, bases, dimensions, exterior products, complementation, inner products, and a host of geometric algebra. The linear algebra taught to undergraduates - and a lot of...
  • №165
  • 46,81 МБ
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Elsevier, 2005. — 1022 p. This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the...
  • №166
  • 6,36 МБ
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Princeton University Press, 2000. — 624 p. Written for mathematicians, logicians, historians, and philosophers - especially those interested in the historical interaction between these disciplines - this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their...
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  • 3,35 МБ
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New Delhi: Hindustan Book Agency, 2004. — 239 p. Contents : Front Matter Evolution of History of Mathematics: Some Trends History or Heritage? A Central Question in the Historiography of Mathematics Abstraction and Structural Analogies in Mathematical Sciences The Invented and Propagated Theories in the Origin of Mathematical Sciences André Weil: The Man and the Historian of...
  • №168
  • 18,85 МБ
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New York: Springer, 2018. — 412 p. This book covers topics in the history of modern algebra. More precisely, it looks at some topics in algebra and number theory and follows them from their modest presence in mathematics in the seventeenth and eighteenth centuries into the nineteenth century and sees how they were gradually transformed into what we call modern algebra....
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  • 4,40 МБ
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Springer, 2015. — 350 p. Introduces key ideas in real and complex analysis in the manner they were discovered Motivates and explains many related developments in neighbouring fields, including number theory, elliptic function theory, and potential theory Displays many examples illustrating the merits of rigorous analysis This book contains a history of real and complex...
  • №170
  • 6,72 МБ
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Springer, 2011. — 410 p. — ISBN 978-0-85729-059-5. Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics include projective geometry, especially the concept of duality, non-Euclidean geometry, and more.
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Springer, 2006. — 376 p. Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to the reader with a general interest in the history of mathematics. Emphasis is placed on understanding...
  • №172
  • 7,66 МБ
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N.Y.: W.H. Freeman, 2008. — 637 p. This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high...
  • №173
  • 5,58 МБ
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Rosen Education Service, 2010. — 309 p. The field of mathematics today represents an ongoing global effort, spanning both countries and centuries. While some developments emerged in multiple cultures, independent of each other, others involved an extensive exchange of ideas among individuals around the world. Through this in-depth narrative, students will learn how major...
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Birkhäuser/Springer, 2006. — 299 p. This book describes Italian mathematics in the period between the two World Wars. We analyze its development by focusing on both the interior and the external influences. Italian mathematics in that period was shaped by a colorful array of strong personalities who concentrated their efforts on a select number of fields and won international...
  • №175
  • 2,58 МБ
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Cambridge University Press, 2003. — 244 p. — ISBN 0-521-36466-3. Guicciardini presents a comprehensive survey of both the research and teaching of Newtonian calculus, the calculus of "fluxions", over the period between 1700 and 1810. Although Newton was one of the inventors of calculus, the developments in Britain remained separate from the rest of Europe for over a century. While...
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  • 3,13 МБ
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Los Angeles: Jeremy P. Tarcher, Inc., 1984. — 256 p. Explains important mathematical concepts, such as probability and statistics, set theory, paradoxes, symmetries, dimensions, game theory, randomness, and irrational numbers
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  • 3,41 МБ
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W. W. Norton & Company, 1997. — 1128 p. — ISBN-10 039304002X, ISBN-13 978-0393040029. What does mathematics mean? Is it numbers or arithmetic, proofs or equations? Jan Gullberg starts his massive historical overview with some insight into why human beings find it necessary to "reckon," or count, and what math means to us. From there to the last chapter, on differential equations,...
  • №178
  • 18,39 МБ
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SUNY Press, State University of New York, USA, 2017. — 301 p. — ISBN 9781438464893. Explores Thales’s speculative philosophy through a study of geometrical diagrams. Bringing together geometry and philosophy, this book undertakes a strikingly original study of the origins and significance of the Pythagorean theorem. Thales, whom Aristotle called the first philosopher and who was...
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  • 9,08 МБ
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Springer, 2008. — 377 p. This book presents first-year calculus roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and...
  • №180
  • 12,16 МБ
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Springer, 2009. — 697 p. Since his death in 1996, many scientific meetings have been dedicated to the memory of Paul Erdös. From July 4 to 11, 1999, the conference "Paul Erdös and his Mathematics" was held in Budapest, with the ambitious goal of showing the whole range of Erdös' work - a difficult task in view of Erdös' versatility and his broad scope of interest in mathematics....
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  • 8,77 МБ
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Springer, 2002. — 734 p. Since his death in 1996, many scientific meetings have been dedicated to the memory of Paul Erdos. All of them were focusing on a particular part of his vast work, a necessity due to his versatility and his broad scope of interest in mathematics. Andras Hajnal (in a paper written on the occasion of Erdos's 80th birthday) compared his work to a rain...
  • №182
  • 5,84 МБ
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Springer, 2006. — 222 p. This book offers a detailed history of parametric statistical inference. Covering the period between James Bernoulli and R.A. Fisher, it examines: binomial statistical inference; statistical inference by inverse probability; the central limit theorem and linear minimum variance estimation by Laplace and Gauss; error theory, skew distributions, correlation,...
  • №183
  • 1,51 МБ
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Wiley-Interscience, 2003. — 586 p. — ISBN 0471471291. The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of...
  • №184
  • 27,79 МБ
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Cambridge University Press, 1980. — 338 p. Probably the most celebrated controversy in all of the history of science was that between Newton and Leibniz over the invention of the calculus. The argument ranged far beyond a mere priority dispute and took on the character of a war between two different philosophies of nature. Newton was the first to devise the methods of the...
  • №185
  • 2,89 МБ
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London: Longmans, 1866. — 828 p. Классический труд великого ирландского математика по кватернионам, никогда не издавался на русском языке, возможно, единственное издание на английском языке.
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Ed. A.W. Conway, J.L. Synge. — Cambridge University Press, 1931. — 534 p. This collected edition of the Mathematical Papers of Sir William Rowan Hamilton (1805-1865) has been undertaken by the Royal Irish Academy with three main objects; first, as a tribute to the memory of Hamilton as a distinguished member and President of the Academy, and the greatest of Irish mathematicians;...
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  • 12,16 МБ
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Ed. A.W. Conway, A.J. McConnell. — Cambridge University Press, 1940. — 656 p. The second volume of the Mathematical Papers of Sir William Rowan Hamilton (1805-1865) is mainly devoted to dynamics but it was thought desirable to include in it Hamilton's Calculus of Principal Relations, which is a natural and obvious extension of his method of the principal function. The greater part...
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  • 10,36 МБ
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Ed. H. Halberstam, R.E. Ingram. — Cambridge University Press, 1967. — 672 p. The third volume of the Mathematical Papers of Sir William Rowan Hamilton (1805-1865) is devoted to his work in various branches of algebra, and especially to his famous researches on quaternions. A brief description of the contents of the volume will be found in the introduction. Preface. Introduction....
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Ed. B.K.P. Scaife. — Cambridge University Press, 2000. — 842 p. This fourth volume of the Mathematical Papers of Sir William Rowan Hamilton completes the project begun, in 1925, by the instigators and first Editors: Arthur William Conway (1875-1950) and John Lighton Synge (1897-1995). It contains Hamilton's published papers on geometry, analysis, astronomy, probability and finite...
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First electronic edition. — 2005. — 52 p. A Mathematician's Apology is a 1940 essay by British mathematician G. H. Hardy. It concerns the aesthetics of mathematics with some personal content, and gives the layman an insight into the mind of a working mathematician.
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Originally published in 1910 as number twelve in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides an up-to-date version of Du Bois-Reymond's Infinitärcalcül by the celebrated English mathematician G. H. Hardy. This tract will be of value to anyone with an interest in the history of mathematics or the theory of functions. Project Gutenberg.
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Cambridge University Press, 2012. - 153 p. G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940, offers a brilliant and engaging...
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  • 1,28 МБ
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Baltimore: The Johns Hopkins University Press, 2011. — xvi + 286 p. — ISBN 978-0-8018-9755-9. Preface Introduction Overview of This Book Historiographic Issues Outline of the Chapters Preliminaries Chinese Conventions Chinese Mathematics Modern Mathematical Terminology The Sources: Written Records of Early Chinese Mathematics Practices and Texts in Early Chinese Mathematics The...
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  • 8,04 МБ
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Princeton University Press, 2003. — 266 p. Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms...
  • №195
  • 7,98 МБ
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Philadelphia: Running Press, 2007. — 1376 p. Bestselling author and physicist Stephen Hawking explores the "masterpieces" of mathematics, 25 landmarks spanning 2,500 years and representing the work of 15 mathematicians, including Augustin Cauchy, Bernard Riemann, and Alan Turing. This extensive anthology allows readers to peer into the mind of genius by providing them with...
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  • 8,24 МБ
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Springer, 2000. — 564 p. Written by the recipient of the 1997 MAA Chauvenet Prize for mathematical exposition, this book tells how the theory of Lie groups emerged from a fascinating cross fertilization of many strains of 19th and early 20th century geometry, analysis, mathematical physics, algebra and topology. The reader will meet a host of mathematicians from the period and...
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  • 64,18 МБ
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Springer, 2013. — 699 p. Frobenius is best known as creator of the theory of group characters and representations, but his name is attached to a multitude of theorems and concepts from a broad spectrum of mathematical disciplines. In this book his mathematics is presented in context in two senses. The first provides the reader with the historical background necessary to understand...
  • №198
  • 6,55 МБ
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Oxford: Clarendon press, 1921. — 460 p. The idea may seem quixotic, but it is nevertheless the authors confident hope that this book will give a fresh interest to the story of Greek mathematics in the eyes both of mathematicians and of classical scholars. For the mathematician the important consideration is that the foundations of mathematics and a great portion of its content are...
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Oxford: Clarendon press, 1921. — 460 p. The idea may seem quixotic, but it is nevertheless the authors confident hope that this book will give a fresh interest to the story of Greek mathematics in the eyes both of mathematicians and of classical scholars. For the mathematician the important consideration is that the foundations of mathematics and a great portion of its content are...
  • №200
  • 39,17 МБ
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Dover Publications, 1981. — 608 p. This Elibron Classics book is a facsimile reprint of a 1921 edition by the Clarendon Press, Oxford. Historians of mathematics have, as a rule, given too little attention to Aristarchus of Samos. The reason is no doubt that he was an astronomer, and therefore it might be supposed that his work would have no sufficient interest for the...
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Oxford: Oxford University Press, 2017. — 337 p. Advertisements for the wildly popular game of Sudoku often feature the reassuring words, "no mathematical knowledge required." In fact, the only skill Sudoku does require is the use of mathematical logic. For many people, anxiety about math is so entrenched, and grade school memories so haunting, that these disclaimers - though...
  • №202
  • 4,32 МБ
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Harvard University Press, 1967. — 672 p. — (Source Books in the History of the Sciences). The fundamental texts of the great classical period in modern logic, some of them never before available in English translation, are here gathered together for the first time. Modern logic, heralded by Leibniz, may be said to have been initiated by Boole, De Morgan, and Jevons, but it was...
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  • 8,94 МБ
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Clarendon Press, 1998. — 309 p. Geometry Civilized is a unique combination of history and mathematics. It contains a full introduction to plane geometry and trigonometry within a fascinating historical framework that sets off the technical material. This approach to geometrical ideas gives the book its unique, readable style. The author has included a wide range of unusual and...
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  • 33,54 МБ
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Hoboken, NJ: Wiley, 2006. — 256 p. — ISBN-10 1681620103; ISBN-13 978-1681620107. The prose is clear and engaging and, despite the title, there are very few equations such that those who are equation-phobic have little to fear. However, many of the disputes center on nineteenth to twentieth century front-line research in pure mathematics - areas such as set theory, concepts of...
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Oxford: Oxford University Press, 2018. — 231 p. — ISBN 978-0-19-880998-2. Algebraic Art explores the invention of a peculiarly Victorian account of the nature and value of aesthetic form, and it traces that account to a surprising source: mathematics. The nineteenth century was a moment of extraordinary mathematical innovation, witnessing the development of non-Euclidean geometry,...
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  • 37,16 МБ
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N.-Y.: Chelsea House, 2007. — 170 p. For most people, mathematics is an abstraction with little connection to the "real" universe. But some mathematicians have discovered relatively simple yet exceedingly powerful patterns that yield insight into aspects of natural and human behavior. "Mathematics" presents 10 essays that profile the minds behind such patterns, many of which have...
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Wilfrid Laurier University Press, 1998. — 195 p. — ISBN-10: 0486400077. A comprehensive study of the historic development of division in extreme and mean ratio ("the golden number"), this text traces the concept's development from its first appearance in Euclid's Elements through the 18th century. The coherent but rigorous presentation offers clear explanations of DEMR's...
  • №208
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New York: Springer, 1977. — 186 p. Our interest in 1. J. Bienayme was kindled by the discovery of his paper of 1845 on simple branching processes as a model for extinction of family names. In this work he announced the key criticality theorem 28 years before it was rediscovered in incomplete form by Galton and Watson (after whom the process was subsequently and erroneously named)....
  • №209
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World Scientific Publishing Company, 2010. — 199 p. This volume offers a unique collection of outstanding contributions from renowned women mathematicians who met in Cambridge for a conference under the auspices of European Women in Mathematics (EWM). These contributions serve as excellent surveys of their subject areas, including symplectic topology, combinatorics and number...
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  • 5,77 МБ
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Oxford University Press, 2005. — 294 p. A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is...
  • №211
  • 2,79 МБ
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Springer, 2004. — 158 p. What is the relationship between modern mathematics - more precisely computational mathematics - and mathematical education? It is this controversal topic that the authors address with an in-depth analysis. In fact, what they present in an extremely well-reasoned account of the development of mathematics and its culture giving concrete recommendation for a...
  • №212
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New York: Springer, 2019. — 762 p. The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In...
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Springer International Publishing AG, 2017. — 195 p. — ISBN 978-3-319-63620-7. The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner’s papers, the ideas of which are connected to...
  • №214
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New York: Springer, 2014. — 538 p. 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. All too often the geometry which goes into the syllabus for these students presents the material...
  • №215
  • 11,29 МБ
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Faber, 1961. — 414 p. Contents: Foreword The Birth of Numbers The Birth of Geometry and the Golden Age of Greek Mathematics The Invention of Algebra The Development of Trigonometry The Invention of Logarithms Preparing the Ground for Newton and Leibniz Newton Leibniz, Gauss and Others Books for Further Reading Index A (Historical) Index B (Mathematical)
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The Rosen Publishing Group, 2011. — 538 p. The universal language of numbers has allowed individuals to transcend cultural differences and make collaborative efforts to comprehend the world mathematically. Though many of these mathematicians may never have met the predecessors who made their own work possible, their collective works form the foundations of mathematics as it is...
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Rosen Education Service, 2010. — 314 p. More than a study of shapes and angles, geometry reflects an amalgamation of discoveries over time. This book not only provides readers with a comprehensive understanding of geometric shapes, axioms, and formulas, it presents the fields brilliant mindsfrom Euclid to Wendelin Werner and many in betweenwhose works reflect a progression of...
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  • 8,15 МБ
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State University of New York Press, 2016. — 217 p. Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations...
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  • 1,32 МБ
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Cambridge University Press, 2004. — 276 p. This book is a study of the concept of probability as it has been used and applied across a number of scientific disciplines from genetics to geophysics. Probability has a dual aspect: sometimes it is a numerical ratio; sometimes, in the Bayesian interpretation, a degree of belief. David Howie examines probabilistic theories of scientific...
  • №220
  • 1,86 МБ
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Berlin: Edition Open Access, 2017. — 166 p. — ISBN 9783945561157, 3945561159. This book presents an important aspect of Babylonian mathematics, namely the technique or discipline usually known as “Babylonian algebra.” This “algebra” is the earliest example of advanced mathematics that has come down to us, for which reason it is spoken of in most general expositions of the history...
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Transl. fron French. Bellos D., Harding E.F., Wood S., Monk I. — John Wiley and Sons, 2000. — 633 p. — ISBN 0-471-39340-1. A riveting history of counting and calculating from the time of the cave dwellers to the late twentieth century, The Universal History of Numbers is the first complete account of the invention and evolution of numbers the world over. As different cultures...
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Transl. from French. Bellos D., Harding E.F., Wood S., Monk I. — John Wiley and Sons, 2000. — 633 p. — ISBN 0-471-39340-1. A riveting history of counting and calculating from the time of the cave dwellers to the late twentieth century, The Universal History of Numbers is the first complete account of the invention and evolution of numbers the world over. As different cultures...
  • №223
  • 19,50 МБ
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NY: Penguin Books, 1987. — 528 p. — ISBN 9780140099195. Details the story of how numerals and numerical systems originated and evolved, from the tools of primitive counting to the symbols and concepts of sophisticated calculation.
  • №224
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Princeton: Princeton University Press, 2016. — 249 p. Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC — and the earliest hints of writing and number notation — to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other...
  • №225
  • 4,85 МБ
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Birkhauser Basel, 2009. — 207 p. Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of...
  • №226
  • 1,13 МБ
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American Mathematical Society, 2003. — x+422 p. — (History of Mathematics, 24). — ISBN 0-8218-2623-9. Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical...
  • №227
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American Mathematical Society, 2003. — 434 p. — (History of Mathematics 24). — ISBN 0821826239. Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical...
  • №228
  • 57,62 МБ
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Cambridge University Press, 2003. — 448 p. Ioan James introduces and profiles sixty mathematicians from the era when mathematics was freed from its classical origins to develop into its modern form. The subjects, all born between 1700 and 1910, come from a wide range of countries, and all made important contributions to mathematics, through their ideas, their teaching, and their...
  • №229
  • 15,03 МБ
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New York: Springer, 2017. — 664 p. This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into...
  • №230
  • 9,12 МБ
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Libraries Unlimited, 1999. — 225 p. Why did ordering an omelet cost one mathematician his life? Answers to this and other questions are found in this exciting new resource that shows your students how 60 mathematicians discovered mathematical solutions through everyday situations. These lessons are easily incorporated into the present curriculum as an introduction to a math...
  • №231
  • 1,01 МБ
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Springer, 2016. — 342 p. — (Archimedes, Vol. 45). This book explores facets of Otto Neugebauer's career, his impact on the history and practice of mathematics, and the ways in which his legacy has been preserved or transformed in recent decades, looking ahead to the directions in which the study of the history of science will head in the twenty-first century. Neugebauer...
  • №232
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SAGE, 2009. — 236 p. This book traces the first faltering steps taken in the mathematical theorization of infinity which marks the emergence of modern mathematics. It analyzes the part played by Indian mathematics through the Kerala conduit, which is an important but neglected part of the history of mathematics.
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3rd edition. — Princeton University Press, 2011. — 592 p. From the Ishango Bone of central Africa and the Inca quipu of South America to the dawn of modern mathematics, The Crest of the Peacock makes it clear that human beings everywhere have been capable of advanced and innovative mathematical thinking. George Gheverghese Joseph takes us on a breathtaking multicultural tour of...
  • №234
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World Scientific Publishing Europe Ltd., 2016. — 510 p. — ISBN 9781786340610. "This is a pioneering project in the history of Indian mathematics." Dr Arun Bala author of The Dialogue of Civilizations in the Birth of Modern Science "This is an accessible introduction to the history of Indian mathematics written in at a level appropriate for undergraduate mathematics students. The...
  • №235
  • 3,83 МБ
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World Scientific Publishing Europe Ltd., 2016. — 510 p. — ISBN 9781786340610. "This is a pioneering project in the history of Indian mathematics." Dr Arun Bala author of The Dialogue of Civilizations in the Birth of Modern Science "This is an accessible introduction to the history of Indian mathematics written in at a level appropriate for undergraduate mathematics students. The...
  • №236
  • 3,88 МБ
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Springer, 2017. — 339 p. — (History of Mathematics Education). — ISBN 10 3319592033, 13 978-3319592039. In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and NeridaEllerton, tackle a persistent, and universal, problem in school mathematics-why doso many middle-school and secondary-school students find it difficult to learn algebrawell? What makes the book...
  • №237
  • 12,01 МБ
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Springer, 2017. — 409 p. — (History of Mathematics Education). — ISBN 10 3319592033, 13 978-3319592039. In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and NeridaEllerton, tackle a persistent, and universal, problem in school mathematics-why doso many middle-school and secondary-school students find it difficult to learn algebrawell? What makes the book...
  • №238
  • 4,02 МБ
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2nd edition. — Addison-Wesley, 1998. — 856 p. — ISBN 0321016181. One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history. In A Call For Change: Recommendations for the Mathematical Preparation of Teachers of Mathematics, the Mathematical Association of America's (MAA) Committee on...
  • №239
  • 23,67 МБ
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The Mathematical Association of America, 2000. — 261 p. There is a long tradition of relating the history of mathematics to its teaching, and increasingly this has extended throughout mathematical education. This volume brings together articles from well known figures in this area, and provides many insights, both in particular cases and in generality, into how the history of...
  • №240
  • 24,06 МБ
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Boston: Addison-Welsley, 2008. — 996 p. A History of Mathematics, Third Edition, provides a solid background in the history of mathematics, helping readers gain a deeper understanding of mathematical concepts in their historical context. This book’s global perspective covers how contributions from Chinese, Indian, and Islamic mathematicians shaped our modern understanding of...
  • №241
  • 9,76 МБ
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Princeton University Press, 2016. — 574 p. Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences....
  • №242
  • 10,19 МБ
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Princeton University Press, 2014. — 485 p. What is algebra? For some, it is an abstract language of x’s and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen...
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  • 12,69 МБ
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Basel: Birkhäuser Verlag. – 2006. – 223 p. (Science Networks. Historical Studies Founded by Erwin Hiebert and Hans Wubing: Volume 30) This book presents an English translation of a VIIth century Sanskrit commentary written by an astronomer called Bhāskara. He is often referred to as Bhāskara I or the elder Bhāskara to distinguish him from a XIIth century astronomer of the Indian...
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London: George Allen and Unwin, 1973. — 259 p. — ISBN 0041640020. The influence of Giuseppe Peano on turn-of-the-century mathematics and logic was great. In the decade preceding 1900, for example, Peano and members of his school were leaders in contemporary developments in logic. If the initiative then passed to Bertrand Russell in England, this was because Peano inspired him when...
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  • 1,40 МБ
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The Mathematical Associationof America, USA, 2015. — 436 p. — ISBN-10 0883855887. The MAA was founded in 1915 to serve as a home for The American Mathematical Monthly. The mission of the Association-to advance mathematics, especially at the collegiate level-has, however, always been larger than merely publishing world-class mathematical exposition. MAA members have explored more...
  • №246
  • 16,70 МБ
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Springer International Publishing AG, Switzerland, 2016. — 48 p. — (ICME-13 Topical Surveys) — ISBN 3319322575. This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the...
  • №247
  • 923,54 КБ
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Birkhauser, 2007. — 168 p. — ISBN 978-0-8176-4685-1. This exposition provides a comprehensive historical account of the intellectual lineage behind the basic concepts, results, and theories of abstract algebra. Prior to the 19th century, the concept of "algebra" strictly referred to the study of the solution of polynomial equations. By the 20th century it came to encompass the...
  • №248
  • 1,10 МБ
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Birkhauser, 2011. — 347 p. — ISBN 0817682678 This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in...
  • №249
  • 3,46 МБ
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Birkhäuser, 2007. — 168 p. This remarkable book presents both the history of algebra as well as selected detailed biographies of algebraists. … the origin of important ideas and concepts is presented very skillfully, even in a way such that the development of ideas can be used as a very good textbook for algebra. … This book combines in relatively few pages non-trivial algebra...
  • №250
  • 3,64 МБ
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Oxford University Press USA - OSO, 1990. — 1053 p. — ISBN 9780195014969, 0195014960. This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early...
  • №251
  • 5,77 МБ
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Oxford, 1972 — 428 p. This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the...
  • №252
  • 3,99 МБ
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Oxford, 1972 — 465 p. This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the...
  • №253
  • 4,45 МБ
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Oxford, 1972 — 436 p. This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the...
  • №254
  • 4,17 МБ
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Oxford: Oxford University Press, 1964. — 512 p. The object of this book is to advance the thesis that mathematics has been a major cultural force in Western civilization. Almost everyone knoivs that mathematics serves the very practical purpose of dictating engineering design. Fewer people seem to be aware that mathematics carries the main burden of scientific reasoning and is the...
  • №255
  • 31,19 МБ
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Ver. 2 — ArXiv, 2018. — 133 p. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 135 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide without leading to panic. The order is not a ranking but more like a time-line when things were written down. The...
  • №256
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Springer, 2007. — 345 p. This book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Although primary sources can be more demanding, the investment yields the rewards of a deeper understanding of the subject, an appreciation of the details, and a glimpse into the direction research has taken. Each chapter...
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  • 15,59 МБ
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New York: Dover Publications, 1986. — 122 p. This highly regarded study focuses on attempts by Hippocrates, Archimedes, other ancient Greeks to solve three classical problems: cube duplication, angle trisection, and circle-quadrature. Topics include origins of the study of conics, introduction of special mechanical curves, use of sliding rulers and calculating procedures, and much...
  • №258
  • 10,35 МБ
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Cambridge University Press, 2003. — 486 p. — ISBN 9780521663106, 0521663105. From Newton to Hawking is about the most celebrated professorship in the world — Cambridge University's Lucasian professorship of mathematics — and it recounts the stories of many of the greatest natural philosophers and mathematical physicists from the Restoration to the twenty-first century. Principally...
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Elsevier Science, 2005. — 716 p. — ISBN 0-444-50328-5. Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isnt the Divine that which is...
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  • 8,98 МБ
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Springer, 2019. — 754 p. — (Sources and Studies in the History of Mathematics and Physical Sciences). — ISBN 9811373256. This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes...
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De Gruyter, 2015. — 142 p. Infinite series are the unifying thread that runs through the history of mathematical analysis. Ever since the 17th century, they have also been inseparably linked to infinitesimal calculus, and form its backbone. Because of the clarity of their structure, infinite series are a gratifying subject for didactics. The historical reflections, insights and...
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Springer, 2011. — 205 p. In 1915 Emmy Noether was invited by Klein and Hilbert to Göttingen to assist them in understanding the law of conservation of energy in Einstein’s new general theory of relativity. She succeeded brilliantly. In the Invariante Variationsprobleme , published in 1918, she proved a fundamental theorem linking invariance properties and conservation laws in any...
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New York: Springer, 2018. — 454 p. — ISBN 978-3-319-64813-2. This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing...
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Mathematical Association of America, 2010. — 381 p. An Episodic History of Mathematics delivers a series of snapshots of the history of mathematics from ancient times to the twentieth century. The intent is not to be an encyclopedic history of mathematics, but to give the reader a sense of mathematical culture and history. The book abounds with stories, and personalities play a...
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Springer, 2011. — 281 p. — ISBN 0387489088. This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of...
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Birkhäuser/Springer, 2007. — 367 p. The book is first of all a history of category theory from the beginnings to A. Grothendieck and F.W. Lawvere. Category theory was an important conceptual tool in 20th century mathematics whose influence on some mathematical subdisciplines (above all algebraic topology and algebraic geometry) is analyzed. Category theory also has an important...
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New York: Basic Books, 2000. — 514 p. This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in the everyday physical world. Where Mathematics Comes From argues that conceptual metaphor plays a central role in mathematical ideas within the...
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Academic Press, 1970. — 320 p. The present book is a revised version of a lecture course given by the author in the Spring Term 1968 in the Department of Physical Sciences and Applied Mathematics, North Carolina State University, Raleigh, N.C. The first three chapters offer a quick panoramic survey of the evolution of geometrical ideas, from the old Sumerians up to Einstein, with...
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  • 2,14 МБ
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Springer, 1998. — 302 p. The stories of five mathematical journeys into new realms, pieced together from the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, others by more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realisation that still greater vistas remain to be...
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  • 7,59 МБ
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Oxford University Press, 2015. — 298 p. To open a newspaper or turn on the television it would appear that science and religion are polar opposites - mutually exclusive bedfellows competing for hearts and minds. There is little indication of the rich interaction between religion and science throughout history, much of which continues today. From ancient to modern times,...
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Dover, 2005. — 238 p. — ISBN-10 0486445968 This text features Leibniz's own accounts of his work and comprises critical and historical notes and essays. An informative Introduction leads to the "postscript" to Leibniz's 1703 letter to James Bernoulli, his "Historia et Origio Calculi Differentialis," and manuscripts of the period 1673- 77. Essays by C. I. Gerhardt follow, along...
  • №272
  • 3,26 МБ
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Springer, 2000. — 514 p. — (Springer Monographs in Mathematics). — ISBN 3-540-66957-4. This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the...
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Simоn & Schustеr, 2006. — 368 p. What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from...
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New York, USA: Broadway Books, 2002. — 299 p. — ISBN 0767908155. Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887… This curious mathematical relationship, widely known...
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Translated by G.B. Halsted. — La Salle: Illinois Open Court Publishing Company, 1914. — 64 p. Lobachevski was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, "The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose...
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Harvard University Press, 2017. — viii+223 p. — ISBN 978-0674972230. Because evolution endowed humans with a complement of ten fingers, a grouping size of ten seems natural to us, perhaps even ideal. But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well...
  • №277
  • 654,88 КБ
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Princeton University Press, 1994. — 452 p. — ISBN 0691036667. Hailed as one of the greatest mathematical results of the twentieth century, the recent proof of Fermat's Last Theorem by Andrew Wiles brought to public attention the enigmatic problem-solver Pierre de Fermat, who centuries ago stated his famous conjecture in a margin of a book, writing that he did not have enough room...
  • №278
  • 4,33 МБ
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UPA, 2011 - 182 p. This is the first comprehensive text on African Mathematics that can be used to address some of the problematic issues in this area. These issues include attitudes, curriculum development, educational change, academic achievement, standardized and other tests, performance factors, student characteristics, cross-cultural differences and studies, literacy, native...
  • №279
  • 1,18 МБ
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World Scientific, 1996. — 608 p. The book is a collection of research and review articles in several areas of modern mathematics and mathematical physics published in the span of three decades. The ICM Kyoto talk “Mathematics as Metaphor” summarises the author's view on mathematics as an outgrowth of natural language. Preface. Algebraic Geometry The Hasse-Witt Matrix of an...
  • №280
  • 8,62 МБ
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Princeton: Princeton University Press, 2010. — 288 p. By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Maor shows that the theorem, although attributed to Pythagoras, was known to the Babylonians more than a thousand years earlier. Pythagoras may have been...
  • №281
  • 29,40 МБ
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Princeton University Press, 2007. — 286 p. — ISBN 0691125260. By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class by even the most math-phobic students. Well over four hundred proofs are known to exist, including ones by a twelve-year-old Einstein, a young blind girl, Leonardo da Vinci, and a...
  • №282
  • 6,79 МБ
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Princeton University Press, 1994. — 223 p. The story of pi has been told many times, both in scholarly works and in popular books. But its close relative, the number e, has fared less well. Despite the central role it plays in mathematics, its history has never before been written for a general audience. The present work fills this gap. Geared to the reader with only a modest...
  • №283
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Princeton University Press, 1998. — 256 p. Trigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine,...
  • №284
  • 2,27 МБ
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Pittsburgh: University of Pittsburgh Press. — 289 p. In this follow-up to his popular Science Secrets, Alberto A. Martínez discusses various popular myths from the history of mathematics: that Pythagoras proved the hypotenuse theorem, that Archimedes figured out how to test the purity of a gold crown while he was in a bathtub, that the Golden Ratio is in nature and ancient...
  • №285
  • 3,19 МБ
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Sрringer, 2006. — 509 p. This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by...
  • №286
  • 4,61 МБ
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Birkhauser, 1981. — 268 p. Once while working on a problem, someone was kind enough to point out to me that my problem was in the "Scottish Book. " I had not then heard of the Scottish Book and certainly did not realize that this book had no connection with Scotland. But, since that introduction I've become more and more aware of the magic of the mathematicians and the mathematics...
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  • 1,82 МБ
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Wiley, 2010. — 320 p. Explores the development of the ellipse and presents mathematical concepts within a rich, historical context The Ellipse features a unique, narrative approach when presenting the development of this mathematical fixture, revealing its parallels to mankind's advancement from the Counter-Reformation to the Enlightenment. Incorporating illuminating historical...
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Springer, 2009. — 194 p. — (Archimedes, Vol. 22). Numerous scientists have taken part in the war effort during World War I, but few gave it the passionate energy of the prominent Italian mathematician Volterra. As a convinced supporter of the cause of Britain and France, he struggled vigorously to carry Italy into the war in May 1915 and then developed a frenetic activity to...
  • №289
  • 1,86 МБ
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Princeton, NJ, USA ; Oxford, UK: Princeton University Press. — 312 p. — ISBN 978-0-691-15463-3. While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren’t available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve...
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St. Lucia: University of Queensland, 2009. — 462 p. Does mathematics education always have to be like trench warfare, with each lecture devoted to a single concept, followed by a repetitive problem set stressing mechanical computations? In addition to books that slowly and carefully put a single layer of bricks in place, then go on to the next level, shouldn't there be some...
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Birkhäuser/Springer, 1981. — 301 p. During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene­ ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the...
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  • 6,01 МБ
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Wiley, 2011. — 688 p. The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics...
  • №293
  • 5,95 МБ
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Springer, 2013. — 258 p. — (Archimedes, Vol. 31). The book describes the development and the ultimate demise of the practice of mathematics in sixteenth century Antwerp. Against the background of the violent history of the Religious Wars, the story of the practice of mathematics in Antwerp is told through the lives of two protagonists Michiel Coignet and Peeter Heyns. The book...
  • №294
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Springer Basel, 2010. — 208. — (Science Networks. Historical Studies, 41). — ISBN 978-3-0346-0643-1. In this book the author presents a comprehensive study of Diophantos’ monumental work known as Arithmetika, a highly acclaimed and unique set of books within the known Greek mathematical corpus. Its author, Diophantos, is an enigmatic figure of whom we know virtually nothing....
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  • 7,32 МБ
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New York: The Free Press, 2001. — 159 p. Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in...
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  • 25,45 МБ
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Springer International Publishing AG, 2017. — 300 p. — ISBN 3319599682. Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis,...
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  • 5,23 МБ
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A. K. Peters, 2007. — 334 p. In this fascinating history of the mathematics department at the University of California, Berkeley, Moore describes how this institution evolved from a single facutly member at a financially-troubled private college into a major research center that is ranked among the very best in the USA and in the world. Moore's account spans from its origins in...
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  • 2,11 МБ
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New York: Springer, 1982. — 426 p. This book grew out of my interest in what is common to three disciplines: mathematics, philosophy, and history. The origins of Zermelo's Axiom of Choice, as well as the controversy that it engendered, certainly lie in that intersection. Since the time of Aristotle, mathematics has been concerned alternately with its assumptions and with the...
  • №299
  • 42,12 МБ
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London: MacMillan, 1911. — 489 p. Второй том многотомного труда по истории создания теории определителей и ранним работам по матричному исчислению посвящён работам с 1841 по 1860 год. Представляет интерес в основном, как факт истории математики. Для исследователей истории математики
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  • 7,13 МБ
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London: MacMillan, 1923. — 540 p. Четвёртый том многотомного труда по истории создания теории определителей и ранним работам по матричному исчислению посвящён работам с 1880 по 1900 год. Представляет интерес в основном, как факт истории математики. Для исследователей истории математики
  • №301
  • 8,00 МБ
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London: MacMillan, 1906. — 503 p. Первый том многотомного труда по истории создания теории определителей и ранним работам по матричному исчислению посвящён работам вплоть до 1841 года. Представляет интерес в основном, как факт истории математики. Для исследователей истории математики.
  • №302
  • 7,88 МБ
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London: MacMillan, 1920. — 527 p. Третий том многотомного труда по истории создания теории определителей и ранним работам по матричному исчислению посвящён работам с 1861 по 1880 год. Представляет интерес в основном, как факт истории математики. Для исследователей истории математики.
  • №303
  • 9,03 МБ
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London; Glasgow: Blackie & Son Ltd., 1930. — 430 p. Пятый том многотомного труда по истории создания теории определителей и ранним работам по матричному исчислению посвящён работам с 1900 по 1920 год. Представляет интерес в основном как факт истории математики. Для исследователей истории математики.
  • №304
  • 11,46 МБ
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Cambridge University Press, 2002. — 410 p. — ISBN 0521352533. Felix Klein, a great geometer of the nineteenth century, rediscovered an idea from Hindu mythology in mathematics: the heaven of Indra in which the whole Universe was mirrored in each pearl in a net of pearls. Practically impossible to represent by hand, this idea barely existed outside the imagination, until the 1980s...
  • №305
  • 10,21 МБ
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Amsterdam; New York: Rodopi, 2010. — 344 p. — ISBN 9042030909. The book is a collection of the author's selected works in the philosophy and history of logic and mathematics. Papers in Part I include both general surveys of contemporary philosophy of mathematics as well as studies devoted to specialized topics, like Cantor's philosophy of set theory, the Church thesis and its...
  • №306
  • 3,04 МБ
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Harvard University Press, 2013. — 249 p. In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics — in algebraic...
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  • 1,09 МБ
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Princeton University Press, 1998. — 297 p. Today complex numbers have such widespread practical use-from electrical engineering to aeronautics-that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus...
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Princеton Univеrsity Prеss, 2006. — 404 p. — ISBN 978-0-691-11822-2. In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula-long regarded as the...
  • №309
  • 33,45 МБ
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Springer, 2018. — 448 p. — (Springer Monographs in Mathematics). — ISBN 978-3-030-03753-6. The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will get information about...
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Springer, 2002. — 174 p. In the early modern period, a crucial transformation occurred in the classical conception of number and magnitude. Traditionally, numbers were merely collections of discrete units that measured some multiple. Magnitude, on the other hand, was usually described as being continuous, or being divisible into parts that are infinitely divisible. This...
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  • 5,98 МБ
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Cambridge University Press, 2009. — 272 p. This book represents a new departure in science studies: an analysis of a scientific style of writing, situating it within the context of the contemporary style of literature. Its philosophical significance is that it provides a novel way of making sense of the notion of a scientific style. For the first time, the Hellenistic mathematical...
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  • 1,49 МБ
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Da Capo Press, 2007. — 352 p. — ISBN-10 030681580X; ISBN-13 978-0306815805. At a Christie's auction in October 1998, a battered medieval manuscript sold for two million dollars to an anonymous bidder, who then turned it over to the Walters Art Museum in Baltimore for further study. The manuscript was a palimpsest-a book made from an earlier codex whose script had been scraped...
  • №313
  • 2,94 МБ
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European Mathematical Society, 2011. — 410 p. Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Évariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French...
  • №314
  • 4,15 МБ
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Simon & Schuster, 1956. This is a monumental 4-volume set covers mathematics and the physical world, mathematics and social science, and the laws of chance, with non-technical essays by and about scores of eminent mathematicians, economists, scientists, and others. Individual articles by Galileo Galilei, Gregor Mendel, Thomas Robert Malthus, and many more. Includes numerous...
  • №315
  • 29,30 МБ
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New-York: Daniel Adee, 1846. — 582 p. Latin for "Mathematical Principles of Natural Philosophy", often referred to as simply the Principia, is a work in three books by Sir Isaac Newton, in Latin, first published 5 July 1687. After annotating and correcting his personal copy of the first edition, Newton also published two further editions, in 1713 and 1726. The Principia states...
  • №316
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Translated by Andrew Motte 1729. — Eighth Printing. — Berkeley; Los Angeles; London: University of California Press, 1974. — 396 p. — ISBN: 0-520-00928-2. Translated into English by Andrew Motte in 1729, this book is a complete volume of Newton's mathematical principles relating to natural philosophy and his system of the world. Newton, one of the most brilliant scientists and...
  • №317
  • 16,09 МБ
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Princeton University Press, 2006. — 224 p. The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview...
  • №318
  • 1,55 МБ
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Princeton University Press, 2006. — 224 p. The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview...
  • №319
  • 10,64 МБ
  • дата добавления неизвестна
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Springer-Verlag Berlin Heidelberg 2012. -452p. ISSN 0172-6056 ISBN 978-3-642-29162-3 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way,...
  • №320
  • 15,07 МБ
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London: Clarendon Press, 1990. — 150 p. "‘Student’ was the pseudonym which William Sealy Gosset used when publishing his scientific work. He was employed for the whole of his working life as a Brewer with Arthur Guinness, Son & Co. Ltd., as the firm was then called, but his publications over thirty years during the early part of the twentieth century, and his friendship with other...
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  • 6,08 МБ
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MIT, 2003. - 222 pages. This book tells the story of Abel's problem and his proof. The text contains a minimum of equations, so that the main lines of the argument should be accessible to people who are intrigued by ideas but feel uncomfortable with mathematical detail. Boxes develop arguments and give examples in greater depth, but these can be skipped without guilt. The...
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AMS, 2009. - 325 pages. This entertaining book presents a collection of 180 famous mathematical puzzles and intriguing elementary problems that great mathematicians have posed, discussed, and/or solved. The selected problems do not require advanced mathematics, making this book accessible to a variety of readers. Mathematical recreations offer a rich playground for both amateur...
  • №323
  • 18,92 МБ
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Springer, 2000. — xii, 223 p. — (CMS Books in Mathematics). — ISBN 978-1-4612-7035-5, 978-1-4612-1180-8. This book is intended for those who love mathematics, including under graduate students of mathematics, more experienced students, and the vast number of amateurs, in the literal sense of those who do something for the love of it. I hope it will also be a useful source of...
  • №324
  • 16,13 МБ
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New York: Springer, 2012. — 236 p. — (CMS Books in Mathematics). — ISBN 978-1-4612-7035-5, 978-1-4612-1180-8. This book is intended for those who love mathematics, including under graduate students of mathematics, more experienced students, and the vast number of amateurs, in the literal sense of those who do something for the love of it. I hope it will also be a useful source of...
  • №325
  • 19,85 МБ
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NY: Sterling, 2009. — 528 p. — (Sterling Milestones). — ISBN 9781402788291. Math’s infinite mysteries and beauty unfold in this follow-up to the best-selling The Science Book. Beginning millions of years ago with ancient ant odometers and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights...
  • №326
  • 46,02 МБ
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Sterling, 2009. - 528 pages. Math’s infinite mysteries and beauty unfold in this follow-up to the best-selling The Science Book. Beginning millions of years ago with ancient ant odometers and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this...
  • №327
  • 11,54 МБ
  • дата добавления неизвестна
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Oxford University Press, USA, 2001. - 440 pages. For several centuries, analysis has been one of the most prestigious and important subjects in mathematics. The present book sets off by tracing the evolution of mathematical analysis, and then endeavors to understand the developments of main trends, problems, and conjectures. It features chapters on general topology, 'classical'...
  • №328
  • 10,11 МБ
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Princeton and Oxford: Princeton University Press, 2009 - 372 pages. Kim Plofker, historian of mathematics and Sanskrit scholar, attempts to bring the modern reader up-to-date on the historical status of Indian mathematics. In doing so she has undertaken a formidable task as available sources are limited and those that require translation from their ancient languages are often...
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  • 2,38 МБ
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Providence: American Mathematical Society, 2005. — 342 p. Georg Cantor, the founder of set theory, published his last paper on sets in 1897. In 1900, David Hilbert made Cantor's Continuum Problem and the challenge of well-ordering the real numbers the first problem of his famous lecture at the international congress in Paris. Thus, as the nineteenth century came to a close and the...
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  • 23,07 МБ
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Prometheus Books, 2004. — 324 pages. — ISBN: 1591022002. It is the ratio of the circumference of a circle to its diameter, a transcendental number, and to some people, an obsession. Posamentier (mathematics education, City College, CUNY) and Lehmann (mathematics, Humboldt U., Berlin) examine how pi has been an object of fascination from the Old Testament, through an act...
  • №331
  • 5,85 МБ
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Springer, 1998. — 445 p. Presenting mathematics as forming a natural bridge between the humanities and the sciences, this book makes calculus accessible to those in the liberal arts. Much of the necessary geometry and algebra are exposed through historical development, and a section on the development of calculus offers insights into the place of mathematics in the history of...
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  • 7,50 МБ
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Delhi: Centre for Studies in Civilizations, 2007. — 529 p. It is understandable that man, shaped by Nature, would like to know Nature. The human ways of knowing Nature are evidently diverse, theoretical and practical, scientific and tech nological, artistic and spiritual. This diversity has, on scrutiny, been found to be neither exhaustive nor exclusive. The complexity of physical...
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  • 20,66 МБ
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Springer International Publishing, Switzerland, 2016. — 659 p. — ISBN 9783319313368. Essays in Mathematics and its Applications: In Honor of Vladimir Arnold focuses on various important areas of Mathematical research. The contributed papers have been written by eminent scientists and experts from the international Mathematical community. These papers deepen our understanding of...
  • №334
  • 9,65 МБ
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Birkhäuser, 2016. — 282 p. — (Trends in the History of Science). — ISBN 3319396471. — ISBN 978-3319396477. This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written. In the 19th century, the history of mathematics was recorded...
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Kluwer, 1992. — 224 p. This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile...
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Princeton University Press, 2008. — 332 p. Leonhard Euler's polyhedron formula describes the structure of many objects-from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek...
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  • 3,91 МБ
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London: British Museum, 1987. — 91 p. Found in Thebes on the 1850s, the Rhind Mathematical Papyrus dates back in its origins to the age of the great pyramid builders. The ancient Egyptians were superb arithmeticians, with enough understanding of geometry and trigonomentry to make their architectural triumphs possible. From the papyrus we can learn how young pupils were subjected...
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Princeton University Press, 2008. — 440 p. This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining...
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  • 4,81 МБ
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Oxford University Press, 2009. — 800 p. — ISBN 0199213127. This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new...
  • №340
  • 12,70 МБ
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Oxford University Press, 2009. — 800 p. This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what...
  • №341
  • 12,81 МБ
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Providence: American Mathematical Society, 2006. — 360 p. Emil Artin was one of the great mathematicians of the twentieth century. He had the rare distinction of having solved two of the famous problems posed by David Hilbert in 1900. He showed that every positive definite rational function of several variables was a sum of squares. He also discovered and proved the Artin...
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  • 4,53 МБ
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Cambridge University Press, 2007. — 280 p. — ISBN-13 978-0-521-82954 -0; ISBN-13 978-0-521-69053-9. Corinna Rossi explores the use of numbers and geometrical figures by the Ancient Egyptians in their architectural projects and buildings. Whereas previous architectural studies have searched for "universal rules" to explain the entire history of Egyptian architecture, Rossi...
  • №343
  • 4,71 МБ
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New York: Dover, 1908. — 458 p. Reptinted 2010 year. Contents : Preface Note Table of Contents Egyptian and Phoenician Mathematics Mathematics Under Greek Influence The Ionian and Pythagorean Schools The Schools of Athens and Cyzicus The First Alexandrian School The Second Alexandrian School The Byzantine School Systems of Numeration and Primitive Arithmetic Mathematics of the...
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Cambridge: Cambridge University Press, 2017. — 484 p. This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel,...
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Cambridge University Press, 2011. — 994 p. The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat, and Pascal. Newton and his...
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N.-Y.: The Mathematical Association of America, 2014. — 240 p. Sandifer has been studying Euler for decades and is one of the world s leading experts on his work. This volume is the second collection of Sandifer s How Euler Did It columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of...
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Globe Scientific Publishing, 2004 — 203 p. — ISBN 981270230X, 9812560785, 9789812560780, 9789812702302. This book explores the interaction in between Europe and East Asia in between the 16th along using the 18th centuries within the field of mathematical sciences, bringing to the fore the role of Portugal as an agent of transmission of European science to East Asia. It is an...
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Birkhäuser, 1994. — 257 p. The Twenty-First International Congress of Mathematicians (ICM) was held in Kyoto, Japan, from August 21 through 29, 1990, the first congress that has taken place in the Eastern hemisphere. On this occasion, Japanese historians of mathematics organized the History of Mathematics Symposium which was held at the Sanjo Conference Hall of the University of...
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N.-Y.: Springer, 1985. — 184 p. Tracing the story from its earliest sources, this book celebrates the lives and work of pioneers of modern mathematics: Fermat, Euler, Lagrange, Legendre, Gauss, Fourier, Dirichlet and more. Includes an English translation of Gauss's 1838 letter to Dirichlet. Contents The Beginnings Fermat Euler Lagrange Legendre Gauss Fourier...
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Peyresq: International Press of Boston, 2014. — 317 p. Mathematics students and researchers often react to Alexandre Grothendieck's legendary fame in the world of mathematics by asking just what the man did to earn him so brilliant a reputation. But as legitimate as it is, the question is difficult to answer, because of the particularly abstruse nature of his mathematics and the...
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Springer, 2019. — 201 p. — (International Studies in the History of Mathematics and its Teaching). — ISBN 3030016161. This contributed volume investigates the active role of the different contexts of mathematics teaching on the evolution of the practices of mathematical concepts, with particular focus on their foundations. The book aims to deconstruct the strong and generally...
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N.-Y.: The Mathematical Association of America, 1996. — 270 p. The Words of Mathematics explains the origins of over 1500 mathematical terms used in English. While other dictionaries of mathematics define technical terms, this book concentrates on where those terms come from and what their literal meanings are. This dictionary is easy to use. although some of the entries are...
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Taylor and Francis, 1958. — 266 p. However familiar one may be with books on the History of Mathematics it is always interesting to come across a new one, to see how the subject is treated. Dr. Scott needs no introductIon in this field; he has already given proof of his el1terprise and learning through his earlier publications on Wallis and on Descartes; both works were based on a...
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Boston: Birkhauser, 2015. — 640 p. The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book 5000 Jahre Geometrie, in which geometry is presented as a chain of developments in...
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Princeton University Press, 2003. — 536 p. Contrary to popular belief - and despite the expulsion, emigration, or death of many German mathematicians - substantial mathematics was produced in Germany during 1933-1945. In this landmark social history of the mathematics community in Nazi Germany, Sanford Segal examines how the Nazi years affected the personal and academic lives of...
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Dordrecht etc.: Springer, 2000. — 479 p. — ISBN 978-94-011-4301-1. The books consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on...
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Philadelphia: American Mathematical Society, 2009. - 187p. The years following 2000 B.C. and the years preceding A.D. 1600 mark two important turning points in the development of algebra. The first witness the solution of equations and systems of the first and second degrees; to the second is associated the solution of the third- and fourth-degree equations, which are also the...
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New York: Springer, 2019. — 321 p. The science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. The initial step was the translation, in the ninth century, of an anonymous Greek text containing the description of certain highly developed arrangements, no...
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Springer, 2017. — 394 p. — ISBN 978-3-319-52114-5. This volume contains the texts and translations of two Arabic treatises on magic squares, which are undoubtedly the most important testimonies on the early history of that science. It is divided into the three parts: the first and most extensive is on tenth-century construction methods, the second is the translations of the texts,...
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University Press of America, 2011. — 236 p. This is the first comprehensive text on African Mathematics that can be used to address some of the problematic issues in this area. These issues include attitudes, curriculum development, educational change, academic achievement, standardized and other tests, performance factors, student characteristics, cross-cultural differences and...
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Revised and Enlarged Ed. — ArXiv.org, 2017. — 316 p. This book covers the history of probability up to Kolmogorov with essential additional coverage of statistics up to Fisher. The book covers an extremely wide field, and is targeted at the same readers as any other book on history of science. Preface. Introduction. The Antenatal Period. The Early History. Jakob Bernoulli and the...
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World Scientific, 2005. — 210 p. This groundbreaking work features two essays written by the renowned mathematician Ilan Vardi. The first essay presents a thorough analysis of contrived problems suggested to “undesirable” applicants to the Department of Mathematics of Moscow University. His second essay gives an in-depth discussion of solutions to the Year 2000 International...
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Griechenland: De Gruyter, 2018. — 291 p. This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical ‘revolutions’ and ‘continuity’. Taken together, they provide a...
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Oxford: Oxford University Press, 2013. — 452 p. Hilbert's Programs & Beyond presents the foundational work of David Hilbert in a sequence of thematically organized essays. They first trace the roots of Hilbert's work to the radical transformation of mathematics in the 19th century and bring out his pivotal role in creating mathematical logic and proof theory. They then analyze...
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Princeton: Princeton University Press, 2009. — 504 p. The emigration of mathematicians from Europe during the Nazi era signaled an irrevocable and important historical shift for the international mathematics world. Mathematicians Fleeing from Nazi Germany is the first thoroughly documented account of this exodus. In this greatly expanded translation of the 1998 German edition,...
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Birkhäuser/Springer, 2001. — 341 p. Philanthropies funded by the Rockefeller family have been prominent in the social history of the twentieth century for their involvement in medicine and applied science. This book provides the first detailed study of their relatively brief but nonetheless influential foray into the field of mathematics. The careers of a generation of...
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