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.