Elliptic Functions Hardback
by J. V. (University of Durham) Armitage, W. F. Eberlein
Part of the London Mathematical Society Student Texts series
Hardback
Description
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.
Information
-
Out of stock
- Format:Hardback
- Pages:404 pages, 5 Tables, unspecified; 25 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:28/09/2006
- Category:
- ISBN:9780521780780
Information
-
Out of stock
- Format:Hardback
- Pages:404 pages, 5 Tables, unspecified; 25 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:28/09/2006
- Category:
- ISBN:9780521780780
