Mathematical Methods for Physics and Engineering

The new edition of this highly acclaimed textbook contains several major additions, including more than four hundred new exercises (with hints and answers). To match the mathematical preparation of current senior college and university entrants, the authors have included a preliminary chapter covering areas such as polynomial equations, trigonometric identities, coordinate geometry, partial fractions, binomial expansions, induction, and the proof of necessary and sufficient conditions. Elsewhere, matrix decompositions, nearly-singular matrices and non-square sets of linear equations are treated in detail. The presentation of probability has been reorganised and greatly extended, and includes all physically important distributions. New topics covered in a separate statistics chapter include estimator efficiency, distributions of samples, t- and F-tests for comparing means and variances, applications of the chi-squared distribution, and maximum likelihood and least-squares fitting. In other chapters the following topics have been added: linear recurrence relations, curvature, envelopes, curve-sketching, and more refined numerical methods.

ISBN 0521890675   Pages 1256 ISBN13 9780521890670 (What's this?)   Volumes 1 Publisher Cambridge University Press   Weight (grammes) 1907 Imprint Cambridge University Press   Published in Cambridge Format Paperback   Previous ISBN 9780521555296 Publication date 15 Aug 2002   Height (mm) 247 Non-book description xxiii, 1232 p. :   Width (mm) 174 Library of Congress QA300 .R495 2002   Spine width (mm) 56 DEWEY 510.2453   Academic level Tertiary education, Professional / Scholarly DEWEY edition DC21

		Preface to the second edition
		Preface to the first edition
1		Preliminary algebra		1
2		Preliminary calculus		42
3		Complex numbers and hyperbolic functions		86
4		Series and limits		118
5		Partial differentiation		154
6		Multiple integrals		190
7		Vector algebra		216
8		Matrices and vector spaces		246
9		Normal modes		322
10		Vector calculus		340
11		Line, surface and volume integrals		383
12		Fourier series		421
13		Integral transforms		439
14		First-order ordinary differential equations		474
15		Higher-order ordinary differential equations		496
16		Series solutions of ordinary differential equations		537
17		Eigenfunction methods for differential equations		581
18		Partial differential equations: general and particular solutions		608
19		Partial differential equations: separation of variables and other methods		646
20		Complex variables		710
21		Tensors		776
22		Calculus of variations		834
23		Integral equations		862
24		Group theory		883
25		Representation theory		918
		More...

From reviews of the first edition: '... the book provides scientists who need to use the tool of mathematics for practical purposes with a single, comprehensive book. I recommend this book not only to students in physics and engineering sciences, but also to students in other fields of natural sciences.' P. Steward, Optik From reviews of the first edition: '... suitable as a textbook for undergraduate use ... this is a book that in view of its content and its modest softcover price, will find its way on to many bookshelves.' Nigel Steele, The Times Higher Education Supplement 'Riley et al. has clear, thorough and straightforward explanations of the subjects treated. It rigorously adopts a three-stage approach throughout the book: first a heuristic, intuitive introduction, then a formal treatment, and finally one or two examples. This consistent presentation, the layout, and the print quality make the book most attractive ... clearness of presentation, comprehensiveness and value for money. It contains a thousand pages, there are plenty of exercises with each chapter, and ... the layout and print quality are very good. J. M. Thijssen, European Journal of Physics This is a valuable book with great potential use in present-day university physics courses. Furthermore, the book will be useful for graduate too, and researchers will find it useful for looking up material which they have forgotten since their undergraduate days.' J. M. Thijssen, European Journal of Physics

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