Mathematical Methods for Physics and Engineering, Third Edition is a highly acclaimed undergraduate textbook that teaches all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. This solutions manual accompanies the third edition of Mathematical Methods for Physics and Engineering. It contains complete worked solutions to over 400 exercises in the main textbook, the odd-numbered exercises, that are provided with hints and answers. The even-numbered exercises have no hints, answers or worked solutions and are intended for unaided homework problems; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

- Cover
- Half Title
- Title Page
- Copyright
- Contents
- Preface
- 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 ODEs
- 15. Higher-order ODEs
- 16. Series solutions of ODEs
- 17. Eigenfunction methods for ODEs
- 18. Special functions
- 19. Quantum operators
- 20. PDEs: general and particular solutions
- 21. PDEs: separation of variables
- 22. Calculus of variations
- 23. Integral equations
- 24. Complex variables
- 25. Applications of complex variables
- 26. Tensors
- 27. Numerical methods
- 28. Group theory
- 29. Representation theory
- 30. Probability
- 31. Statistics