By J. V. Armitage
By W. F. Eberlein
Publisher: Cambridge University Press
Print Publication Year:2006
Online Publication Date:December 2009
Subjects: Number Theory
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.