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 | Unavailable |
| ISBN 13 | 9780521785631 |
| ISBN 10 | 0521785634 |
| Title | Elliptic Functions |
| Author | W Eberlein |
| Series | London Mathematical Society Student Texts |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2006-09-28 |
| Number of pages | 402 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |