Description

Book Synopsis
Discusses the geometry and arithmetic of elliptic curves. This book includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions.

Table of Contents
Geometry of cubic curves Elliptic functions Arcs of curves and elliptic integrals Abel's theorem on division of lemniscate Algebraic equations Theta functions and solutions of quintic equations Bibliography Index.

Elliptic Functions and Elliptic Integrals

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    A Hardback by V.v. Prasolov, Yu P. Solovyev

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      View other formats and editions of Elliptic Functions and Elliptic Integrals by V.v. Prasolov

      Publisher: MP-AMM American Mathematical
      Publication Date: 9/30/1997 12:00:00 AM
      ISBN13: 9780821805879, 978-0821805879
      ISBN10: 0821805878

      Description

      Book Synopsis
      Discusses the geometry and arithmetic of elliptic curves. This book includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions.

      Table of Contents
      Geometry of cubic curves Elliptic functions Arcs of curves and elliptic integrals Abel's theorem on division of lemniscate Algebraic equations Theta functions and solutions of quintic equations Bibliography Index.

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