Methods of Mathematical Physics
This well-known text and reference contains an account of those mathematical methods that have applications in at least two branches of physics. The authors give examples of the practical use of the methods taken from a wide range of physics, including dynamics, hydrodynamics, elasticity, electromagnetism, heat conduction, wave motion and quantum theory. They pay particular attention to the conditions under which theorems hold. Helpful exercises accompany each chapter.
- Well-known text and reference, now available at a reduced price
- Comprehensive coverage of those parts of mathematics most needed in physics
- Includes examples of the practical uses of methods discussed in the text
Reviews & endorsements
"This outstandingly excellent mathematical treatise...is a fine product of British mathematical scholarship, and a benefaction to the cause of progress in natural philosophy." Nature
"This text is a classic that is well worth having." The Bulletin of Mathematical Books
"...an almost indispensible work of reference for anyone attempting research in theoretical physics." Proceedings of the Physical Society
Product details
January 2000Paperback
9780521664028
730 pages
228 × 153 × 44 mm
1.138kg
91 b/w illus. 252 exercises
Available
Table of Contents
- 1. The real variable
- 2. Scalars and vectors
- 3. Tensors
- 4. Matrices
- 5. Multiple integrals
- 6. Potential theory
- 7. Operational methods
- 8. Physical applications of the operational method
- 9. Numerical methods
- 10. Calculus of variations
- 11. Functions of a complex variable
- 12. Contour integration and Bromwich's integral
- 13. Contour integration
- 14. Fourier's theorem
- 15. The factorial and related functions
- 16. Solution of linear differential equations of the second order
- 17. Asymptotic expansions
- 18. The equations of potential, waves and heat conduction
- 19. Waves in one dimension and waves with spherical symmetry
- 20. Conduction of heat in one and three dimensions
- 21. Bessel functions
- 22. Applications of Bessel functions
- 23. The confluent hypergeometric function
- 24. Legendre functions and associated functions
- 25. Elliptic functions
- Notes
- Appendix on notation
- Index.