Mathematical methods for physicists : a comprehensive guide : George B. Arfken, Hans J. Weber, Frank E. Harris

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. Sturm-Liouville theory - 9. Partial differential equations - 10. Green's functions - 11. Complex variable theory - 12. Further topics in analysis - 13. Gamma function - 14. Bessel functions - 15. Legendre functions - 16. Angular momentum - 17. Group theory - 18. More special functions - 19. Fourier series - 20. Integral transforms - 21. Integral equations - 22. Calculus of variations - 23. Probability and statistics

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.