a comprehensive guide Riley, K F creator Hobson, M P Bence, S J text Cambridge ; New York Cambridge University Press ©1998 monographic xix, 1008 pages : illustrations ; 25 cm 1. Preliminary calculus -- 2. Complex numbers and hyperbolic functions -- 3. Series and limits -- 4. Partial differentiation -- 5. Multiple integrals -- 6. Vector algebra -- 7. Matrices and vector spaces -- 8. Vector calculus -- 9. Line, surface and volume integrals -- 10. Fourier series -- 11. Integral transforms -- 12. First-order ordinary differential equations -- 13. Higher-order ordinary differential equations -- 14. Series solutions of ordinary differential equations -- 15. Eigenfunction methods for differential equations -- 16. Partial differential equations: general and particular solutions -- 17. Partial differential equations: separation of variables and other methods -- 18. Complex variables -- 19. Tensors -- 20. Calculus of variations -- 21. Integral equations -- 22. Group theory -- 23. Representation theory -- 24. Probability -- 25. Numerical methods. K F Riley; M P Hobson; S J Bence Includes index. Mathematical analysis QA401 .R537 0521555299 9780521555296