Mathematical methods for physicists : a concise introduction
著者
書誌事項
Mathematical methods for physicists : a concise introduction
Cambridge University Press, c2000
- : pbk
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注記
Includes index
内容説明・目次
内容説明
This text is designed for an intermediate-level, two-semester undergraduate course in mathematical physics. It provides an accessible account of most of the current, important mathematical tools required in physics these days. It is assumed that the reader has an adequate preparation in general physics and calculus. The book bridges the gap between an introductory physics course and more advanced courses in classical mechanics, electricity and magnetism, quantum mechanics, and thermal and statistical physics. The text contains a large number of worked examples to illustrate the mathematical techniques developed and to show their relevance to physics. The book is designed primarily for undergraduate physics majors, but could also be used by students in other subjects, such as engineering, astronomy and mathematics.
目次
- Preface
- 1. Vector and tensor analysis
- 2. Ordinary differential equations
- 3. Matrix algebra
- 4. Fourier series and integrals
- 5. Linear vector spaces
- 6. Functions of a complex variable
- 7. Special functions of mathematical physics
- 8. The calculus of variations
- 9. The Laplace transformation
- 10. Partial differential equations
- 11. Simple linear integral equations
- 12. Elements of group theory
- 13. Numerical methods
- 14. Introduction to probability theory
- Appendices
- Further reading
- Index.
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