Elliptic Functions


In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. 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 the reader is introduced to the richly varied applications of the elliptic and related functions.

 Reviews:

"It is a very individual book which offers a down to earth perspective on elliptic functions. The rich collection of applications makes the book both appealing and useful."
Shaun Cooper, Mathematical Reviews

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Reference Type: further-reading

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Elliptic Functions and Elliptic Curves

Patrick Du Val

Print Publication Year: 1973

Online Publication Date: May 2013

Online ISBN: 9781107359901

Paperback ISBN: 9780521200363

Book DOI: http://dx.doi.org/10.1017/CBO9781107359901