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Mathematical methods for physics and engineering : a comprehensive guide / K.F. Riley, M.P. Hobson, and S.J. Bence.
- Format:
- Book
- Author/Creator:
- Riley, K. F. (Kenneth Franklin), 1936-
- Language:
- English
- Subjects (All):
- Mathematical analysis.
- Physical Description:
- 1 online resource (xxiii, 1232 pages) : illustrations
- Edition:
- Second edition.
- Place of Publication:
- Cambridge ; New York : Cambridge University Press, 2002.
- System Details:
- text file
- Summary:
- 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 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
- 26 Probability 961
- 27 Statistics 1064
- 28 Numerical methods 1148
- Appendix Gamma, beta and error functions 1201.
- Notes:
- Includes bibliographical references and index.
- Electronic reproduction. Cambridge Available via World Wide Web.
- Description based on print version record.
- Local Notes:
- Acquired for the Penn Libraries with assistance from the Carl Hering Library Fund.
- ISBN:
- 9781139164979
- 113916497X
- Publisher Number:
- 99988092641
- Access Restriction:
- Restricted for use by site license.
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