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基本説明
An invaluable resource to advanced undergraduate and graduate students. This bestselling all-inclusive text provides mathematical relations and their proofs essential to the study of physics and relates fields. While retaining the strong features of the 6e, the new edition provides a more careful balance of explanation, theory, and examples. 6th ed.: 2005.
Full Description
Now in its 7th edition, Mathematical Methods for Physicists continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the study of physics and related fields. While retaining the key features of the 6th edition, the new edition provides a more careful balance of explanation, theory, and examples. Taking a problem-solving-skills approach to incorporating theorems with applications, the book's improved focus will help students succeed throughout their academic careers and well into their professions. Some notable enhancements include more refined and focused content in important topics, improved organization, updated notations, extensive explanations and intuitive exercise sets, a wider range of problem solutions, improvement in the placement, and a wider range of difficulty of exercises.
Contents
1. Mathematical Preliminaries
2. Determinants and Matrices
3. Vector Analysis
4. Tensors and Differential Forms
5. Vector Spaces
6. Eigenvalue Problems
7. Ordinary Differential Equations
8. Partial Differential Equations
9. Green's Functions
10. Complex Variable Theory
11. Further Topics in Analysis
12. Gamma Function
13. Bessel Functions
14. Legendre Functions
15. Angular Momentum
16. Group Theory
17. More Special Functions
18. Fourier Series
19. Integral Transforms
20. Periodic Systems
21. Integral Equations
22. Mathieu Functions
23. Calculus of Variations
24. Probability and Statistics
