'The book places itself as a reference for the undergraduate students, the graduate students and the researchers who need to refresh some topics. As the author indicates, the book covers all the mathematics needed for a physicist. Also, the instructor who gives a course on mathematical physics can find useful material in the book. The topics are explained with little stress on the physical meaning which is meant to come spontaneously progressing in the book. The completeness of topics is preferred to proofs and deep explanations … this book is indicated for the student who wants a solid and complete reference for mathematical tool in physics. The instructor can use the book as a reference for basic or advanced courses of mathematical physics, as well as for more theoretically based courses.' Stefano Scali, Contemporary Physics
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.
