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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 991004874707006711 CBUC 991004007143106713 CBUC 991003509647506714 CBUC 991010498285706709 CBUC 991000722644806712 CBUC 991010498285706709 CBUC 991014611309706706 CBUC 991005809509706708 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