Mathematical methods for physics and engineering
Riley, K. F. (Kenneth Franklin)
1936-
creator
Hobson, M. P. (Michael Paul)
1967
autor
Bence, S. J. (Stephen John)
1972
autor
text
enk
Cambridge
Cambridge University Press
2006
Third edition
monographic
eng
xxvii, 1333 pages : illustrations ; 26 cm.
Description
Contents
Resources
Courses
About the Authors
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.
Preliminary algebra -- Preliminary calculus -- Complex numbers and hyperbolic functions -- Series and limits -- Partial differentiation -- Multiple integrals -- Vector algebra -- Matrices and vector spaces -- Normal modes -- Vector calculus -- 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
K.F. Riley, M.P. Hobson and S.J. Bence.
Includes index.
Mathematical analysis
Análisis matemático
Engineering mathematics
Matemáticas para ingenieros
Mathematical physics
Física matemática
515.1
9780521679718
060821
20171002090532.0