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Mathematical methods for physics and engineering
Riley, K. F.
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| 자료유형 | 단행본 |
|---|---|
| 개인저자 | Riley, K. F., 1936- Hobson, M. P., 1967- Bence, S. J., 1972- |
| 서명/저자사항 | Mathematical methods for physics and engineering/ K.F. Riley, M.P. Hobson and S.J. Bence. |
| 판사항 | 3rd ed. |
| 발행사항 | Cambridge ; New York : Cambridge University Press, 2006. |
| 형태사항 | xxvii, 1333 p. : ill. ; 26 cm. |
| ISBN | 9780521679718 |
| 일반주기 |
Includes index.
|
| 일반주제명 | Mathematical analysis. Engineering mathematics. Mathematical physics. |
초록
목차 일부
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 description...
목차 전체
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. 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; full solutions are available to instructors on a password protected web site, www.cambridge.org/9780521679718.
목차
목차 일부
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 ...
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 ...
목차 전체
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.
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.
저자소개
ecame 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.
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