Mathematical Methods for Physicists

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Mathematical Methods for Physicists serves as both textbook and/or useful reference work. This renowned and well respected title provides in one handy volume the essential mathematical tools and techniques used to solve problems in physics and engineering. The mathematical relations are clearly illustrated and proven. It is a vital addition to the bookshelf of any serious student of physics and or research professional in the field. The authors have put considerable effort into updating this new edition. New to this Edition 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 Table of Contents Preface 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. Function of a Complex Variable II 8. The Gamma Function (Factorial Function) 9. Differential Equations 10. Sturm-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 Index