ELLIPTIC FUNCTIONS by J. V. Armitage, W. F. Eberlein ( 9780511617867 )

Item Details

Title:

ELLIPTIC FUNCTIONS

By:

Format:

Electronic book text

List price:	£135.00
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ISBN 10:

0511617860

ISBN 13:

9780511617867

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

18 December, 2009

Series:

London Mathematical Society Student Texts 67

Description:

A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 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.

Illustrations:

25 b/w illus. 5 tables

Publication:

Imprint:

Cambridge University Press (Virtual Publishing)

Returns:

Non-returnable

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