Physical Mathematics (Hardcover, 2 Revised edition)

Preface; 1. Linear algebra; 2. Vector calculus; 3. Fourier series; 4. Fourier and Laplace transforms; 5. Infinite series; 6. Complex-variable theory; 7. Differential equations; 8. Integral equations; 9. Legendre polynomials and spherical harmonics; 10. Bessel functions; 11. Group theory; 12. Special relativity; 13. Tensors and general relativity; 14. Forms; 15. Probability and statistics; 16. Monte Carlo methods; 17. Artificial intelligence; 18. Order, chaos, and fractals; 19. Functional derivatives; 20. Path integrals; 21. Renormalization group; 22. Strings; References; Index.