Description
Book SynopsisAn engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. Topics are illustrated through carefully chosen examples, exercises and problems drawn from realistic physics settings. Solutions to the exercises are available at www.cambridge.org/9780521854030.
Trade Review'The amount of material in Mathematics for Physics is definitely more than enough for two single-term courses; that provides a potential lecturer considerable flexibility. … The many features that make the book valuable to students and teachers also represent a substantial step toward making modern mathematics a part of the working arsenal of practising physicists. I strongly recommend it to those who feel the need to upgrade their mathematics repertoire.' Physics Today
Table of ContentsPreface; 1. Calculus of variations; 2. Function spaces; 3. Linear ordinary differential equations; 4. Linear differential operators; 5. Green functions; 6. Partial differential equations; 7. The mathematics of real waves; 8. Special functions; 9. Integral equations; 10. Vectors and tensors; 11. Differential calculus on manifolds; 12. Integration on manifolds; 13. An introduction to differential topology; 14. Group and group representations; 15. Lie groups; 16. The geometry of fibre bundles; 17. Complex analysis I; 18. Applications of complex variables; 19. Special functions and complex variables; Appendixes; Reference; Index.
