Mathematical Methods for Physicists: A Comprehensive Guide

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.

Revised and updated version of the leading text in mathematical physicsFocuses on problem-solving skills and active learning, offering numerous chapter problemsClearly identified definitions, theorems, and proofs promote clarity and understanding

New to this edition:

Improved modular chaptersNew up-to-date examplesMore intuitive explanations

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