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Synopsis
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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About the Author
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 of interest are number theory, arithmetic geometry, elliptic curves, dynamical systems and cryptography. He has co-authored over 120 publications and has had over 20 doctoral students under his tutelage. He has published 9 highly successful books with Springer, including the recently released, An Introduction to Mathematical Cryptography, for Undergraduate Texts in Mathematics.
Review
"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 about elliptic curves, and computer scientists interested in algorithms and needing an introduction to elliptic curves..."-- MATHEMATICAL REVIEWS
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The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
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Springer-Verlag New York, Incorp, 1985
ISBN 10: 0387962034
ISBN 13: 9780387962030
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The arithmetic of elliptic curves. Graduate Texts in Mathematics; 106.
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New York, Springer ca. 2008., 2008
ISBN 10: 0387962034
ISBN 13: 9780387962030
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Hardcover. [Nachdr.]. XII, 400 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04644 9780387962030 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2490882
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The arithmetic of elliptic curves. Graduate Texts in Mathematics; 106.
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New York, Springer Science + Business Media ca. 2008., 2008
ISBN 10: 0387962034
ISBN 13: 9780387962030
Used
Hardcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Hardcover. [Nachdr.]. XII, 400 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04704 9780387962030 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2490944
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The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
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The Arithmetic of Elliptic Curves - Linear and Nonlinear Functions
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The Arithmetic of Elliptic Curves - Linear and Nonlinear Functions
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The Arithmetic of Elliptic Curves
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The Arithmetic of Elliptic Curves
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THE ARITHMETIC OF ELLIPTIC CURVES
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Dura. Condition: New. Dust Jacket Condition: Nuevo. No Aplica (illustrator). 1. 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. 720 gr. Libro. Seller Inventory # 9780387962030LEA19537
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