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Elliptic Curves: Function Theory, Geometry, Arithmetic

Elliptic Curves: Function Theory, Geometry, Arithmetic

Elliptic Curves: Function Theory, Geometry, Arithmetic Paperback / softback - 2025

by Henry McKean

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Paperback / softback. New. 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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Details

  • Title Elliptic Curves: Function Theory, Geometry, Arithmetic
  • Author Henry McKean
  • Binding Paperback
  • Condition New
  • Pages 314
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2025-03-06
  • Features Bibliography, Index
  • Bookseller's Inventory # B9781009602112
  • ISBN 9781009602112 / 100960211X
  • Weight 0.93 lbs (0.42 kg)
  • Dimensions 9 x 6 x 0.66 in (22.86 x 15.24 x 1.68 cm)
  • Category Mathematics
  • Library of Congress subjects Curves, Elliptic
  • Library of Congress Catalogue Number 2024054933
  • Dewey Decimal Code 516.352
  • Quantity available 10

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Reader reviews for Elliptic Curves: Function Theory, Geometry, Arithmetic

From the publisher

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.
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