Modern Mathematical Methods for Physicists and Engineers
Cambridge University Press
Edition: Illustrated, 12/14/2000
EAN 9780521598279, ISBN10: 0521598273
Paperback, 784 pages, 25.4 x 17.8 x 4.5 cm
Language: English
Originally published in English
The advent of powerful desktop computers has revolutionized scientific analysis and engineering design in fields as disparate as particle physics and telecommunications. Modern Mathematical Methods for Physicists and Engineers provides a mathematical and computational education for students, researchers, and practising engineers. The author begins with a review of computation, and then deals with a range of key concepts including sets, fields, matrix theory, and vector spaces. He then goes on to cover more advanced subjects such as linear mappings, group theory, and special functions. In this way, he concentrates exclusively on the most important topics for the working physical scientist or engineer with the aim of helping them to make intelligent use of the latest computational and analytical methods. The book contains well over 400 homework problems and covers many topics not dealt with in other textbooks. It will be ideal for senior undergraduate and graduate students in the physical sciences and engineering, as well as a valuable reference for working engineers.
Preface
1. Foundations of computation
2. Sets and mappings
3. Evaluation of functions
4. Groups, rings and fields
5. Vector spaces
6. Linear mappings I
7. Linear functionals
8. Inner products and norms
9. Linear mappings II
10. Convergence in normed vector spaces
11. Group representations
12. Special functions
Appendices.