Elliptic curves: function theory, geometry, arithmetic

by McKean, Henry P.

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Title Statements

Full title :Elliptic curves : function theory, geometry, arithmetic / Henry McKean, Victor Moll.

Summary

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. The treatment combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetics. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics. The many exercises with hints scattered throughout the text give the reader a glimpse of further developments.

Edition Statements

Publication Date:1999.
Edition:1st paperback ed. (with corrections)

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge, U.K
Language:eng
Publication Date:1999.

The Physical Object

Description:xiii, 280 pages : : illustrations ; : 24 cm

Edition Identifiers

ISBN:0521582288, 9780521582285, 0521658179, 9780521658171
oclc:ocm44646896
LC Classification:QA567.2.E44
Dewey Decimal:516.352

First Ideas: Complex Manifolds, Riemann Surfaces, and Projective Curves -- Elliptic Integrals and Functions -- Theta Functions -- Modular Groups and Modular Functions -- Ikosaeder and the Quintic -- Imaginary Quadratic Number Fields -- Arithmetic of Elliptic Curves.