Elliptic Functions and Elliptic Integrals

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American Mathematical Soc., Sep 16, 1997 - Mathematics - 185 pages
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 functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.
 

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Contents

II
1
III
25
IV
53
V
67
VI
103
VII
131
VIII
149
IX
179
X
183
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