A Course of Modern Analysis Whittaker Watson Moll Hardback 9781316518939 5e

Description: A Course of Modern Analysis New edition of a true classic in mathematics. Preserves the flavour of the original, updating where appropriate and improving usability. E. T. Whittaker (Author), G. N. Watson (Author), Victor H. Moll (Edited by) 9781316518939, Cambridge University Press Hardback, published 26 August 2021 718 pages 26 x 18.5 x 6.2 cm, 1.66 kg 'In many cases the coverage here is still the best or one of the best available, and is concise and all in one volume.' Allen Stenger, Mathematical Association of America This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text. Foreword S. J. Patterson Introduction Part I. The Process of Analysis: 1. Complex numbers 2. The theory of convergence 3. Continuous functions and uniform convergence 4. The theory of Riemann integration 5. The fundamental properties of analytic functions – Taylor's, Laurent's and Liouville's theorems 6. The theory of residues – application to the evaluation of definite integrals 7. The expansion of functions in infinite series 8. Asymptotic expansions and summable series 9. Fourier series and trigonometric series 10. Linear differential equations 11. Integral equations Part II. The Transcendental Functions: 12. The Gamma-function 13. The zeta-function of Riemann 14. The hypergeometric function 15. Legendre functions 16. The confluent hypergeometric function 17. Bessel functions 18. The equations of mathematical physics 19. Mathieu functions 20. Elliptic functions. General theorems and the Weierstrassian functions 21. The theta-functions 22. The Jacobian elliptic functions 23. Ellipsoidal harmonics and Lamé's equation Appendix. The elementary transcendental functions References Author index Subject index. Subject Areas: Calculus & mathematical analysis [PBK]

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