Mathematical Methods for Physics and Engineering (Paperback)

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