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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Arithmetic of Elliptic Curves

The Arithmetic of Elliptic Curves

Silverman, Joseph H.

Paperback

Series: Graduate Texts in Mathematics, Book 106

AlgebraGeneral MathematicsGeometry

ISBN10: 1441918582
ISBN13: 9781441918581
Publisher: Springer
Published: Nov 19 2010
Pages: 513
Weight: 1.64
Height: 1.08 Width: 6.14 Depth: 9.21
Language: English
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.

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