Rational Points on Elliptic Curves, Joseph H. Silverman; John T. Tate

Автор: Silverman, Joseph H. Tate, John
Название: Rational points on elliptic curves
ISBN: 1441931015 ISBN-13(EAN): 9781441931016
Издательство: Springer
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Цена: 5164.00 р.
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Описание: The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity of modern mathematics.

Автор: Silverman, Joseph H.
Название: Arithmetic of elliptic curves
ISBN: 0387094938 ISBN-13(EAN): 9780387094939
Издательство: Springer
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Цена: 6981.00 р.
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Описание: Treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. This book discusses the necessary algebro-geometric results, and offers an exposition of the geometry of elliptic curves, and the formal group of an elliptic curve.

Автор: Berger Laurent
Название: Elliptic Curves, Hilbert Modular Forms and Galois Deformatio
ISBN: 3034806175 ISBN-13(EAN): 9783034806176
Издательство: Springer
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Цена: 4191.00 р.
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Описание: This book details recent developments and major changes in Galois deformation theory during the last decade, including deformations of pseudo-representations, framed deformations, and groupoids.

Автор: Husemoller Dale
Название: Elliptic Curves
ISBN: 1441930256 ISBN-13(EAN): 9781441930255
Издательство: Springer
Цена: 10480.00 р.
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Описание: This book is an introduction to the theory of elliptic curves, ranging from its most elementary aspects to current research. The first part, which grew out of Tate's Haverford lectures, covers the elementary arithmetic theory of elliptic curves over the rationals. The next two chapters recast the arguments used in the proof of the Mordell theorem into the context of Galois cohomology and descent theory. This is followed by three chapters on the analytic theory of elliptic curves, including such topics as elliptic functions, theta functions, and modular functions. Next, the theory of endomorphisms and elliptic curves over infinite and local fields are discussed. The book then continues by providing a survey of results in the arithmetic theory, especially those related to the conjecture of the Birch and Swinnerton-Dyer. This new edition contains three new chapters which explore recent directions and extensions of the theory of elliptic curves and the addition of two new appendices. The first appendix, written by Stefan Theisan, examines the role of Calabi-Yau manifolds in string theory, while the second, by Otto Forster, discusses the use of elliptic curves in computing theory and coding theory. Dale Husem ller is a member of the faculty at the Max Planck Institute of Mathematics in Bonn.

Автор: Silverman Joseph H.
Название: Arithmetic of Elliptic Curves
ISBN: 1441918582 ISBN-13(EAN): 9781441918581
Издательство: Springer
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Цена: 6981.00 р.
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Описание: 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.

Автор: Ash Avner, Gross Robert
Название: Elliptic Tales: Curves, Counting, and Number Theory
ISBN: 0691163502 ISBN-13(EAN): 9780691163505
Издательство: Wiley
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Цена: 2216.00 р.
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Описание: Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem. The key to the conjecture

Название: Introduction to Elliptic Curves and Modular Forms
ISBN: 1461269423 ISBN-13(EAN): 9781461269427
Издательство: Springer
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Цена: 7680.00 р.
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Описание: The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory.