Title: Elliptic Functions Author(s): J. V. Armitage, W. F. Eberlein Pages: 402 Publisher: Cambridge University Press Publication date: 2006 Language: English Format: PDF ISBN-10: 0521780780 ISBN-13: Description: Elliptic Functions (London Mathematical Society Student Texts).
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.
About the Author
J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.
Title: Elliptic Functions