Elliptic Functions |
|
| Author:
| Armitage, J. V.
Eberlein, W. F. |
| Contribution by:
| Bruce, J. W. |
| Series title: | London Mathematical Society Student Texts |
| ISBN: | 978-0-521-78078-0 |
| Publication Date: | Sep 2006 |
| Publisher: | Cambridge University Press
|
| Book Format: | Hardback |
| List Price: | USD $216.00 |
Book Description:
|
The opening chapters of this 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?' Later chapters present a more conventional approach to the Weierstrass functions and elliptic integrals, and then the reader is introduced to the richly varied applications of the...
More DescriptionThe opening chapters of this 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?' Later chapters present a more conventional approach to the Weierstrass functions and elliptic integrals, and then the reader is introduced to the richly varied applications of the elliptic and related functions. Applications spanning arithmetic, dynamics, and probability and statistics, are discussed.