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Elliptic Functions

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ISBN-10: 0521780780

ISBN-13: 9780521780780

Edition: 2006

Authors: J. V. Armitage, J. W. Bruce, W. F. Eberlein

List price: $184.95
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Description:

This text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay. Accrodingly it is based on the idea of inverting integrals which arise in the theory of differential equations. It also introduces varied applications of elliptic and related functions.
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Book details

List price: $184.95
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 9/28/2006
Binding: Hardcover
Pages: 404
Size: 6.00" wide x 9.25" long x 1.00" tall
Weight: 1.496
Language: English

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

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
An arithmetic application of elliptic functions
Applications in mechanics and statistics and other topics
Appendix
Bibliography