Elliptic Functions - Couverture souple

Armitage, J. V.

Couverture souple

ISBN 10 : 0521785634 ISBN 13 : 9780521785631

Editeur : Cambridge University Press, 2006

Synopsis

In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and then the reader is introduced to the richly varied applications of the elliptic and related functions. Applications spanning arithmetic (solution of the general quintic, the functional equation of the Riemann zeta function), dynamics (orbits, Euler's equations, Green's functions), and also probability and statistics, are discussed.

A propos du livre

À propos de l'auteur

J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 0521785634
• ISBN 13: 9780521785631
• Reliure: Broché
• Nombre de pages: 402
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France