Published October 23, 2006
by Cambridge University Press .
Written in English
|The Physical Object|
|Number of Pages||402|
The theory of elliptic functions represents a high point of classical analysis. Interest in the use of these mathematical tools was recently heightened by John Wile's partial proof of Fermat's Last by: Elliptic Functions: An Elementary Text-Book for Students of Mathematics Paperback – Ma Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - Reviews: 5. Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the . This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta by:
The Elliptic Functions as They Should be Author: Albert Eagle Publisher: N.A ISBN: N.A Category: Elliptic functions Page: View: Differential equations. Each of the Jacobi functions satisfies a nonlinear differential equation of a certain form, namely. where is any one of the twelve elliptic functions and the coefficients α, β and γ are certain specific functions of the modulus k that characterize that particular elliptic function. This book has grown out of a course of lectures on elliptic functions, given in German, at the Swiss Federal Institute of Technology, Zurich, during the summer semester of Its aim is to give som. Elliptic Functions: A Primer defines and describes what is an elliptic function, attempts to have a more elementary approach to them, and drastically reduce the complications of its classic formulae; from which the book proceeds to a more detailed study of the subject while being reasonably complete in itself.
Elliptic integrals and Jacobi’s theta functions Elliptic integrals and the AGM: real case Arclength of ellipses. Consider an ellipse with major and minor arcs 2a and 2b and eccentricity e:= (a2 −b2)/a2 ∈ [0,1), e.g., x2 a2 + y2 b2 = 1. What is the arclength `(a;b) of the ellipse, as a function of a and b? There are two easy. In developments of the theory of elliptic functions, modern authors mostly follow Karl Weier-strass. The notations of Weierstrass’s elliptic functions based on his p-function are conve-nient, and any elliptic function can be expressed in terms of these. The elliptic functionsFile Size: KB. The book on elliptic functions has a good introduction of the elliptic functions. It covers the functions of complex variable, the residues, the derivation of the addition formulas of the functions, the Fourier series of the dn (u) function. The book has a very introduction of the theta functions/5(4). Elliptic Functions: A Primer defines and describes what is an elliptic function, attempts to have a more elementary approach to them, and drastically reduce the complications of its classic formulae; from which the book proceeds to a more detailed study of the subject while being reasonably complete in Edition: 1.