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The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) (v. 106) by Joseph H. Silverman (auth.) is a reference work available to read on EtoBox.

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The Theory Of Elliptic Curves Is Distinguished By Its Long History And By The Diversity Of The Methods That Have Been Used In Its Study. This Book Treats The Arithmetic Theory Of Elliptic Curves In Its Modern Formulation, Through The Use Of Basic Algebraic Number Theory And Algebraic Geometry. The Book Begins With A Brief Discussion Of The Necessary Algebro-geometric Results, And Proceeds With An Exposition Of The Geometry Of Elliptic Curves, The Formal Group Of An Elliptic Curve, Elliptic Curves Over Finite Fields, The Complex Numbers, Local Fields, And Global Fields. The Last Two Chapters Deal With Integral And Rational Points, Including Siegel's Theorem And Explicit Computations For The Curve Y^2 = X^3 + Dx. The Book Contains Three Appendices: Elliptic Curves In Characteristics 2 And 3, Group Cohomology, And A Third Appendix Giving An Overview Of More Advanced Topics. Contents: Algebraic Varieties -- Algebraic Curves -- The Geometry Of Elliptic Curves -- The Formal Group Of An Elliptic Curve -- Elliptic Curves Over Finite Fields -- Elliptic Curves Over C -- Elliptic Curves Over Local Fields -- Elliptic Curves Over Global Fields -- Integral Points On Elliptic Curves -- Computing

Who reads The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics) (v. 106)?

Author

Joseph H. Silverman (auth.)

Publisher

Springer-Verlag New York, Incorporated

Published

1986

Language

EN

ISBN

9781475719222

Category

reference

Subjects

Mathematics, Science, Reference

Rating

4.22 / 5 (23 ratings)

Updated

2026-03-14