The Arithmetic of Elliptic Curves

von Joseph H. Silverman
Hardcover - 9780387094939
53,45 €
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Taschenbuch - 9781441918581
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Taschenbuch - 9781441918581
53,45 €

Beschreibung

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 approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X + DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.

Details

Verlag Springer-Verlag GmbH
Ersterscheinung Juni 2009
Maße 241 mm x 159 mm x 38 mm
Gewicht 928 Gramm
Format Hardcover
ISBN-13 9780387094939
Auflage 2. Auflage
Seiten 514

Schlagwörter