Mathematical Methods for Physics and Engineering : A Comprehensive Guide (Hardcover)

1. Preliminary algebra; 2. Preliminary calculus; 3. Complex numbers and hyperbolic functions; 4. Series and limits; 5. Partial differentiation; 6. Multiple integrals; 7. Vector algebra; 8. Matrices and vector spaces; 9. Normal modes 10. Vector calculus; 11. Line, surface and volume integrals; 12. Fourier series; 13. Integral transforms; 14. First-order ordinary differential equations; 15. Higher ordinary differential equations; 16. Series solutions of ordinary differential equations; 17. Eigenfunction methods for differential equations; 18. Partial differential equations: general and particular; 19. Partial differential equations: separation of variables and other methods; 20. Complex variables; 21. Tensors; 22. Calculus of variations; 23. Integral equations; 24. Group theory; 25. Representation theory; 26. Probability; 27. Statistics; 28. Numerical methods; Appendix; Index.