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The Arithmetic of Elliptic Curves
Engelsk Hardback
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The Arithmetic of Elliptic Curves
Engelsk Hardback

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Om denne bog
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.
Product detaljer
Sprog:
Engelsk
Sider:
513
ISBN-13:
9780387094939
Indbinding:
Hardback
Udgave:
ISBN-10:
0387094938
Udg. Dato:
29 maj 2009
Længde:
36mm
Bredde:
164mm
Højde:
242mm
Forlag:
Springer-Verlag New York Inc.
Oplagsdato:
29 maj 2009
Forfatter(e):
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