Elliptic Curves: Function Theory, Geometry, Arithmetic

McKean, Henry

ISBN 10: 0521658179 / ISBN 13: 9780521658171

Published by Cambridge University Press, 1999

About this Item

Seller Inventory # 60D92_25_0521658179

Bibliographic Details

• Title: Elliptic Curves: Function Theory, Geometry, Arithmetic
• Publisher: Cambridge University Press
• Publication Date: 1999
• Language: English
• ISBN 10: 0521658179
• ISBN 13: 9780521658171
• Binding: Soft cover
• Condition: new

About this title

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.

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.