Mathematical Methods for Physics and Engineering A Comprehensive Guide~tqw~ darksiderg

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Mathematical Methods for Physics and Engineering: A Comprehensive Guide
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Type.................: Ebook
Part Size............: 9,706,946 bytes
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Posted by............: ~tqw~
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Release Notes
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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 reorganized 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.
Table of Contents
1 Preliminary algebra 1
2 Preliminary calculus 41
3 Complex numbers and hyperbolic functions 83
4 Series and limits 115
5 Partial differentiation 151
6 Multiple integrals 187
7 Vector algebra 212
8 Matrices and vector spaces 241
9 Normal modes 316
10 Vector calculus 334
11 Line, surface and volume integrals 377
12 Fourier series 415
13 Integral transforms 433
14 First-order ordinary differential equations 468
15 Higher-order ordinary differential equations 490
16 Series solutions of ordinary differential equations 531
17 Eigenfunction methods for differential equations 554
18 Special functions 577
19 Quantum operators 648
20 Partial differential equations : general and particular solutions
675
21 Partial differential equations : separation of variables and other
methods 713
22 Calculus of variations 775
23 Integral equations 803
24 Complex variables 824
25 Applications of complex variables 871
26 Tensors 927
27 Numerical methods 984
28 Group theory 1041
29 Representation theory 1076
30 Probability 1119
31 Statistics 1221
Product Details
* ISBN: 0521679710
* ISBN-13: 9780521679718
* Format: Textbook Paperback, 1365pp
* Publisher: Cambridge University Press
* Pub. Date: February 2006
* Edition Description: REV
* Edition Number: 3
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