Elliptic Curves by Henry Mckean

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Summary

Reissued with a new Foreword, this book presents an introductory account of elliptical curves. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. An ideal introduction for graduate students and researchers in mathematics and physics, including exercises throughout.

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Elliptic Curves by Henry Mckean

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This book, reissued with a new Foreword, presents an introductory 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. After an informal preparatory chapter, the book follows an 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. 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, with many exercises with hints scattered throughout the text.
McKean, Henry: - Henry McKean is a professor in the Courant Institute of Mathematical Sciences at New York University. He is a fellow of the American Mathematical Society and in 2007 he received the Leroy P. Steele Prize for his life's work.
SKU Unavailable
ISBN 13 9781009602112
ISBN 10 100960211X
Title Elliptic Curves
Author Henry Mckean
Series Cambridge Mathematical Library
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 2025-03-06
Number of pages 310
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.