Methods of Mathematical Physics

• 1. The real variable; 2. Scalars and vectors; 3. Tensors; 4. Matrices; 5. Multiple integrals; 6. Potential theory; 7. Operational methods; 8. Physical applications of the operational method; 9. Numerical methods; 10. Calculus of variations; 11. Functions of a complex variable; 12. Contour integration and Bromwich's integral; 13. Contour integration; 14. Fourier's theorem; 15. The factorial and related functions; 16. Solution of linear differential equations of the second order; 17. Asymptotic expansions; 18. The equations of potential, waves and heat conduction; 19. Waves in one dimension and waves with spherical symmetry; 20. Conduction of heat in one and three dimensions; 21. Bessel functions; 22. Applications of Bessel functions; 23. The confluent hypergeometric function; 24. Legendre functions and associated functions; 25. Elliptic functions; Notes; Appendix on notation; Index.

From reviews of the first edition: 'There must be very few major techniques in theoretical physics which are not explained here and illustrated by some genuine examples. It remains, and is likely to continue for many years, an almost indispensable work of reference for anyone attempting research in theoretical physics.' Proceedings of the Physical Society