This best-selling title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics. It is a vital addition to the bookshelf of any serious student of physics or research professional in the field. The authors have put considerable effort into revamping this new edition.

Key Features

* Updates the leading graduate-level text in mathematical physics * Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering * Focuses on problem-solving skills and offers a vast array of exercises * Clearly illustrates and proves mathematical relations New in the Sixth Edition: * Updated content throughout, based on users' feedback * More advanced sections, including differential forms and the elegant forms of Maxwell's equations * A new chapter on probability and statistics * More elementary sections have been deleted


The book is used both as a reference and as a textbook for aspiring and practicing physicists. As a text it functions best at the graduate level, although it’s recommended often as a reference to an undergrad course, almost always in physics departments.

Table of Contents

1. Vector Analysis 2. Vector Analysis in Curved Coordinates and Tensors 3. Determinants and Matrices 4. Group Theory 5. Infinite Series 6. Functions of a Complex Variable I: Analytic Properties, Mapping 7. Functions of a Complex Variable II 8. The Gamma Function (Factorial Function) 9. Differential Equations 10. Strum-Liouville Theory-Orthogonal Functions 11. Bessel Functions 12. Legendre Functions 13. More Special Functions 14. Fourier Series 15. Integral Transforms 16. Integral Equations 17. Calculus of Variations 18. Nonlinear Methods and Chaos 19. Probability


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© 2005
Academic Press
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About the author

George Arfken

Affiliations and Expertise

Miami University, Oxford, Ohio, USA


As to a comparison with other books of the same ilk, well, in all honesty, there are none. No other text on methods of mathematical physics is as comprehensive and as complete... -Tristan Hubsch, Howard University