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The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
Joseph H. Silverman
€ 74.80
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Description for The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
Paperback. The theory of elliptic curves is distinguished by the diversity of the methods 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. Series: Graduate Texts in Mathematics. Num Pages: 514 pages, black & white illustrations. BIC Classification: PBF; PBH; PBMW. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 27. Weight in Grams: 743.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2010
Publisher
Springer
Condition
New
Series
Graduate Texts in Mathematics
Number of Pages
513
Place of Publication
New York, NY, United States
ISBN
9781441918581
SKU
V9781441918581
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Joseph H. Silverman
Dr. Joseph Silverman is a professor at Brown University and has been an instructor or professors since 1982. He was the Chair of the Brown Mathematics department from 2001-2004. He has received numerous fellowships, grants and awards, as well as being a frequently invited lecturer. He is currently a member of the Council of the American Mathematical Society. His research areas ... Read more
Reviews for The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
From the reviews of the second edition: "This well-written book covers the basic facts about the geometry and arithmetic of elliptic curves, and is sure to become the standard reference in the subject. It meets the needs of at least three groups of people: students interested in doing research in Diophantine geometry, mathematicians needing a reference for standard facts ... Read more