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The Arithmetic of Elliptic Curves

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世界图书出版公司, 1986 - 400 pages
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.

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Review: The Arithmetic of Elliptic Curves

Avis d'utilisateur  - Dan - Goodreads

I used this book for a term paper I was writing. Joseph Silverman is a good author to learn from. His books are easier to read and more user friendly than Serge Lang's. Consulter l'avis complet

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Références issues de pages Web

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The Arithmetic of Elliptic Curves Course Homehage Spring 2004 / Department of Mathematical Sciences, Faculty of Science, Aarhus Universitet.
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Référence:Elliptic Curves (Silverman1) - Wikipédia
The Arithmetic of Elliptic Curves / Joseph H. Silverman. – New York, Berlin, Heidelberg, Tokyo : Springer, 1986. – (Graduate Texts in Mathematics. ...
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The work of kolyvagin on the arithmetic of elliptic curves
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Informations bibliographiques

QR code for The Arithmetic of Elliptic Curves
TitreThe Arithmetic of Elliptic Curves
Volume 106 de Graduate Texts in Mathematics Series
Volume 106 de Applications of Mathematics
AuteurJoseph H. Silverman
Édition7, illustrée, réimprimée
Éditeur世界图书出版公司, 1986
ISBN0387962034, 9780387962030
Longueur400 pages
  
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