Mathematical Methods for Physics and Engineering 3/e+作者:
Riley+年份:
2006 年3 版
+ISBN:
9780521679718
+書號:
PH0174P
+規格:
平裝/單色
+頁數:
1368
+出版商:
Cambridge
+參考資訊:
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The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.
- Contains all the mathematical material likely to be needed for any undergraduate course in the physical sciences
- Maintains the method and clarity of presentation that has been much praised in earlier editions
- Over 800 exercises: half with complete solutions available; half suitable for unaided homework - the only book at this level to have fully-worked solutions to ALL of its problems
K. F. Riley, University of Cambridge
M. P. Hobson, University of Cambridge
S. J. Bence
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-order ordinary differential equations
16. Series solutions of ordinary differential equations
17. Eigenfunction methods for differential equations
18. Special functions
19. Quantum operators
20. Partial differential equations: general and particular solutions
21. Partial differential equations: separation of variables and other methods
22. Calculus of variations
23. Integral equations
24. Complex variables
25. Application of complex variables
26. Tensors
27. Numerical methods
28. Group theory
29. Representation theory
30. Probability
31. Statistics