Hassani S. Mathematical Methods: For Students of Physics and Related Fields
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Springer, 2008. — 783 p.Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material.Beginning with reviews of vector algebra and differential and integral calculus, the book continues with infinite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Dirac delta function provide an introduction to modern topics in mathematical physics. This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section on Probability and plenty of new material on tensors and integral transforms.
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Princeton University Press, 2007. - 672 pages.
What can a physicist gain by studing mathematics? By gathering together everything a physicist needs to know about mathematics in one comprehensive and accessible guide, this is the question Mathematics for Physics and Physicists successfully takes on.
The author, Walter Appel, is a renowned mathematics educator hailing from one...
3rd ed. — Wiley, 2005. — 864 p. Now in its third edition, Mathematical Concepts in the Physical Sciences provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference. This book is particularly intended for the student with a year (or a year and a half) of calculus who wants to...
Springer, 2013. — 1198 p. — 2nd ed. — ISBN: 9783319011943
The goal of this book is to expose the reader to the indispensable role that mathematics-often very abstract-plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis,...
McGraw-Hill Professional, 2004. — 336 p.
Дифференциальные уравнения для чайников
Here's the perfect self-teaching guide to help anyone master differential equations-a common stumbling block for students looking to progress to advanced topics in both science and math. Covers First Order Equations, Second Order Equations and Higher, Properties, Solutions, Series Solutions,...
3rd ed. — Cambridge University Press, 2006. — 1333 pages. OCR
The third edition of this highly acclaimed undergraduate text book is suitable for teaching all the mathematics ever likely to be needed for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics covered and many worked examples, it contains more than 800 exercises....
Перевод с англ. И. С. Емельяновой. — Нижний Новгород: Издательство Нижегородского Государственного ун-та, 2007. — 421 с. Настоящий учебник охватывает обширный материал, включающий составление и анализ математических моделей различных процессов и явлений из области физики, техники, биологии, медицины и экономики. Рассматриваемые модели описываются обыкновенными дифференциальными...