Mathematical Methods for Physics and Engineering 英文原版 物理和工程研究的数学方法 K. F. Riley

基本信息

By (author) K. F. Riley , By (author) M. P. Hobson , By (author) S. J. Bence

Format Paperback | 1359 pages

Dimensions 174 x 248 x 56mm | 2,425g

Publication date 08 Aug 2006

Publisher CAMBRIDGE UNIVERSITY PRESS

Publication City/Country Cambridge, United Kingdom

Language English

Edition Revised

Edition Statement 3rd Revised edition

Illustrations note Worked examples or Exercises; 235 Line drawings, unspecified

ISBN10 0521679710

ISBN13 9780521679718

页面参数仅供参考，具体以实物为准

内容简介

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching 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. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; 

这本广受好评的本科教材的第三版适合于教授任何物理科学本科课程的所有数学。除了对所有主题的清晰描述和许多工作示例之外，它还包含800多个练习。新的独立章节对物理科学的“特殊功能”进行了系统说明，涵盖了复杂变量的广泛实际应用，并介绍了量子算子。已添加了与统计和数字积分相关的其他表格。在此版本中，一半的练习都带有提示和答案，并且在单独的手册中（适用于学生及其老师）提供了完整的解决方案。其余练习没有任何提示，答案或可行的解决方案，可用于独立的作业；

作者简介

Kenneth F. Riley read mathematics at the University of Cambridge and proceeded to a Ph.D. there in theoretical and experimental nuclear physics. He became a Research Associate in elementary particle physics at Brookhaven, and then, having taken up a lectureship at the Cavendish Laboratory, Cambridge, continued this research at the Rutherford Laboratory and Stanford; in particular he was involved in the experimental discovery of a number of the early baryonic resonances. As well as having been Senior Tutor at Clare College, where he has taught physics and mathematics for over 40 years, he has served on many committees concerned with the teaching and examining of these subjects at all levels of tertiary and undergraduate education. He is also one of the authors of 200 Puzzling Physics Problems.

书籍目录

Prefaces; 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 ordinary differential equations; 15. Higher-order ordinary differential equations; 16. Series solutions of ordinary differential equations; 17. Eigenfunction methods for differential equations; 18. Special functions; 19. Quantum operators; 20. Partial differential equations: general and particular; 21. Partial differential equations: separation of variables; 22. Calculus of variations; 23. Integral equations; 24. Complex variables; 25. Application of complex variables; 26. Tensors; 27. Numerical methods; 28. Group theory; 29. Representation theory; 30. Probability; 31. Statistics; Index.