02716cam a22003017a 4500003000400000005001700004008004100021020001800062040000800080041000800088082001000096100004500106245009600151250001800247260005200265300004900317500002000366505091200386520085001298650002702148650002802175650002802203650003402231650002502265650002702290700004902317700004802366BYT20171002090532.0060821s2006 enka 001 0 eng d a9780521679718 cUKM aeng04a515.11 aRiley, K. F.q(Kenneth Franklin),d1936-10aMathematical methods for physics and engineering /cK.F. Riley, M.P. Hobson and S.J. Bence. aThird edition aCambridge ;bCambridge University Press,c2006. axxvii, 1333 pages :billustrations ;c26 cm. aIncludes index.2 aPreliminary 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. Statistics3 a
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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. 0aMathematical analysis. 0aAnálisis matemático 0aEngineering mathematics 0aMatemáticas para ingenieros 0aMathematical physics 0aFísica matemática 1 aHobson, M. P. q(Michael Paul),d1967eautor1 aBence, S. J. q(Stephen John),d1972eautor