Elliptic functions /

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...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Armitage, J. V. (John Vernon)
Autres auteurs: Eberlein, W. F. (William Frederick)
Format: Électronique eBook
Langue:Inglés
Publié: Cambridge : Cambridge University Press, 2006.
Collection:London Mathematical Society student texts ; 67.
Sujets:
Elliptic functions.
Fonctions elliptiques.
MATHEMATICS > Complex Analysis.
Elliptische Funktion
Elliptische functies.
Accès en ligne:Texto completo
Table des matières:
  • The 'simple' pendulum
  • Jacobian elliptic functions of a complex variable
  • General properties of elliptic functions
  • Theta functions
  • The Jacobian elliptic functions for complex k
  • Introduction to transformation theory
  • The Weierstrass elliptic functions
  • Elliptic integrals
  • Applications of elliptic functions in geometry
  • An application of elliptic functions in algebra
  • solution of the general quintic equation.

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