Elliptic Functions by W Eberlein

Elliptic Functions by W Eberlein

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.

'This solid text is a good place to start when working with elliptic functions and it is the sort of book that you will keep coming back to as reference text' Mathematics Today

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

SKU	Nicht verfügbar
ISBN 13	9780521785631
ISBN 10	0521785634
Titel	Elliptic Functions
Autor	W Eberlein
Serie	London Mathematical Society Student Texts
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Cambridge University Press
Erscheinungsjahr	2006-09-28
Seitenanzahl	402
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar