Mathematical methods for physics and engineering : a comprehensive guide
著者
書誌事項
Mathematical methods for physics and engineering : a comprehensive guide
Cambridge University Press, 1997
- : hbk
- : pbk
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注記
Index: p. 983-1008
内容説明・目次
内容説明
All physical scientists and engineers need mathematical tools in their everyday work. This book presents mathematics in a form appropriate for undergraduate courses. The material covered is comprehensive, and takes the student from the level of starting college or university to the end of the most mathematical of science courses. It also provides a valuable reference for advanced students and active researchers in physics, engineering, chemistry, applied mathematics and earth science. Throughout the text, the physical relevance of the mathematics is constantly reinforced, and numerous physical worked examples are included. In this way, it provides scientists who need to use the tools of mathematics for practical purposes with a single, comprehensive textbook. Students will find the book friendly and approachable, and graduate students and researchers will find it an invaluable reference.
目次
- Preface
- 1. Preliminary calculus
- 2. Complex numbers and hyperbolic functions
- 3. Series and limits
- 4. Partial differentiation
- 5. Multiple integrals
- 6. Vector algebra
- 7. Matrices and vector spaces
- 8. Vector calculus
- 9. Line, surface and volume integrals
- 10. Fourier series
- 11. Integral transforms
- 12. First order ODEs
- 13. Higher order ODEs
- 14. Series solutions of ordinary differential equations
- 15. Eigenfunction methods for differential equations
- 16. PDEs: general and particular solutions
- 17. PDEs: separation of variables and other methods
- 18. Complex variables
- 19. Tensors
- 20. Calculus of variations
- 21. Integral equations
- 22. Group theory
- 23. Representation theory
- 24. Probability
- 25. Numerical methods
- Appendix 1. Special functions
- Index.
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