Mathematical Methods for Physics and Engineering / K.F. Riley, M.P. Hobson and S.J. Bence.

• 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 solutions -- 21. Partial differential equations: separation of variables and other methods -- 22. Calculus of variations -- 23. Integral equations -- 24. Complex variables -- 25. Applications of complex variables -- 26. Tensors -- 27. Numerical methods -- 28. Group theory -- 29. Representation theory -- 30. Probability -- 31. Statistics. 

• 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. 

Ämnesord

Matematisk fysik  (sao)

Matematisk analys  (sao)

Mathematical physics  (LCSH)

Mathematical analysis  (LCSH)

Engineering mathematics  (LCSH)

Mathematical analysis  (LCSH)

Mathematical physics  (LCSH)

Genre

Electronic books 

Indexterm och SAB-rubrik

Ucced Fysikens matematiska metoder

Klassifikation

515.1 (DDC)

Ucced (kssb/7)