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Elliptic Curves 2004 Edition at Meripustak

Elliptic Curves 2004 Edition

Books from same Author: Dale Husemoeller

Books from same Publisher: Springer

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    • General Information  
    Author(s)Dale Husemoeller
    PublisherSpringer
    ISBN9780387954905
    Pages490
    BindingHardback
    LanguageEnglish
    Publish YearJanuary 2004

    Description

    Springer Elliptic Curves 2004 Edition by Dale Husemoeller

    First Edition sold over 2500 copies in the Americas; New Edition contains three new chapters and two new appendices Table of contents : Introduction to Rational Points on Plane Curves * Elementary Properties of the Chord-Tangent Group Law on a Cubic Curve * Plane Algebraic Curves * Factorial Rings and Elimination Theory * Elliptic Curves and Their Isomorphism * Families of Elliptic Curves and Geometric Properties of Torsion Points * Reduction mod p and Torsion Points * Proof of Mordell's Finite Generation Theorem * Galois Cohomology and Isomorphism Classification of Elliptic Curves over Arbitrary Fields * Descent and Galois Cohomology * Elliptic and Hypergeometric Functions * Theta Functions * Modular Functions * Endomorphisms of Elliptic Curves * Elliptic Curves over Finite Fields * Elliptic Curves over Local Fields * Elliptic Curves over Global Fields and l-adic Representations * L-Functions of an Elliptic Curve and Its Analytic Continuation * Remarks on the Birch and Swinnerton-Dyer Conjecture * Remarks on the Modular Curves Conjecture and Fermat's Last Theorem * Higher Dimensional Analogs of Elliptic Curves: Calabi-Yau Varieties * Families of Elliptic Curves * Appendix I: Calabi-Yau Manifolds and String Theory * Appendix II: Elliptic Curves in Algorithmic Number Theory * Appendix III: Guide to the Exercises * Bibliography * Index