Methods of Mathematical Physics / Edition 3

by Harold Jeffreys, Bertha Jeffreys

Overview

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.

Product Details

ISBN-13:	9780521664028
Publisher:	Cambridge University Press
Publication date:	11/18/1999
Series:	Cambridge Mathematical Library
Edition description:	Revised Edition
Pages:	730
Product dimensions:	6.02(w) x 8.98(h) x 1.73(d)

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.

Editorial Reviews

"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

From the Publisher