Mathematical Methods for Physics and Engineering

A Comprehensive Guide

Ken Riley, M.P. Hobson, S.J. Bence

1232 pages, parution le 01/08/2002 (2^eme édition)

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Résumé

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.

Contents

1. Preliminary algebra
2. Preliminary calculus
3. Complex numbers and hyperbolic functions
4. Series and limits
5. Partial differentiation
6. Multiple integrals
7. Vector algebra
8. Matrices and vector spaces
9. Normal modes 10. Vector calculus
11. Line, surface and volume integrals
12. Fourier series
13. Integral transforms
14. First-order ordinary differential equations
15. Higher ordinary differential equations
16. Series solutions of ordinary differential equations
17. Eigenfunction methods for differential equations
18. Partial differential equations: general and particular
19. Partial differential equations: separation of variables and other methods
20. Complex variables
21. Tensors
22. Calculus of variations
23. Integral equations
24. Group Theory
25. Representation theory
26. Probability
27. Statistics
28. Numerical methods

L'auteur - M.P. Hobson

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Ken Riley, M.P. Hobson, S.J. Bence
Parution	01/08/2002
Édition	2^eme édition
Nb. de pages	1232
Format	17 x 24,5
Couverture	Broché
Poids	1900g
Intérieur	Noir et Blanc
EAN13	9780521890670