Mathematical Methods for Physicists

A Comprehensive Guide


  • George Arfken, Miami University, Oxford, Ohio, USA
  • Hans Weber, University of Virginia, USA
  • Frank E. Harris, University of Florida, USA

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.
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Graduate students and advanced undergraduates in Physics, Engineering, Applied Mathematics, Chemistry, and Environmental Science/Geophysics; also practitioners and researchers in these fields.


Book information

  • Published: January 2012
  • ISBN: 978-0-12-384654-9


"This volume is a great collection of essential mathematical tools and techniques used to solve problems in physics, very useful to any student of physics or research professional in the field. It is concentrated to problem-solving art and offers a large amount of problems and exercises."--Zentralblatt MATH 1239

Table of 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