Descripción del título
This treatment of Jacobi elliptic functions seeks to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' A rich variety of applications of the elliptic and related functions are also presented
Monografía
monografia Rebiun28292720 https://catalogo.rebiun.org/rebiun/record/Rebiun28292720 m o d | cr -n--------- 050706s2006 enka o 000 0 eng d 01348512 GBA601426 bnb 1-107-15848-6 1-107-26397-2 1-280-56801-1 9786610568017 0-511-24147-X 0-511-24043-0 0-511-24230-1 0-511-33171-1 0-511-61786-0 0-511-24095-3 UPVA 998449873603706 UAM 991008077087804211 CBUC 991014611309706706 MiAaPQ MiAaPQ MiAaPQ eng 515.983 Armitage, J. V. Elliptic functions electronic resource] J.V. Armitage and W.F. Eberlein Cambridge Cambridge University Press 2006 Cambridge Cambridge Cambridge University Press 1 online resource (403 p.) 1 online resource (403 p.) Text txt computer c online resource cr London Mathematical Society student texts 67 Description based upon print version of record Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; Original partial preface; Acknowledgements; 1 The 'simple' pendulum; 2 Jacobian elliptic functions of a complex variable; 3 General properties of elliptic functions; 4 Theta functions; 5 The Jacobian elliptic functions for complex k; 6 Introduction to transformation theory; 7 The Weierstrass elliptic functions; 8 Elliptic integrals; 9 Applications of elliptic functions in geometry; 10 An application of elliptic functions in algebra - solution of the general quintic equation 11 An arithmetic application of elliptic functions: the representation of a positive integer as a sum of three squares12 Applications in mechanics and statistics and other topics; Appendix; References; Further reading; Index This treatment of Jacobi elliptic functions seeks to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' A rich variety of applications of the elliptic and related functions are also presented English Elliptic functions Transcendental functions Electronic books Eberlein, W. F. 0-521-78563-4 0-521-78078-0 London Mathematical Society student texts 67