Items related to Elliptic Curves: Function Theory, Geometry, Arithmetic

Elliptic Curves: Function Theory, Geometry, Arithmetic - Softcover

McKean, Henry; Moll, Victor

 
9780521658171: Elliptic Curves: Function Theory, Geometry, Arithmetic
Softcover
ISBN 10: 0521658179 ISBN 13: 9780521658171
Publisher: Cambridge University Press, 1999

Synopsis

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were 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. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows a historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. The many exercises with hints scattered throughout the text give the reader a glimpse of further developments. 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.

"synopsis" may belong to another edition of this title.

Book Description

The subject of elliptic curves is one of the jewels of 19th century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents account of the subject in the style of the original discoverers, with references to and comments about more modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic.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.

Review

"...undergraduates will find that McKean and Moll's book...offers more diverse viewpoints [than other books on elliptic curves]. Highly recommended."
Choice

"...this is a wonderful book that should reward those who have the background for it with immense joy and insight."
SIAM Review

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
1999
Language
English
ISBN 10 
0521658179
ISBN 13 
9780521658171
Binding
Paperback
Edition number
1
Number of pages
298