Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
"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
Contenuti
* Algebraic Varieties * The Geometry of Elliptic Curves * The Formal Group of an Elliptic Curve * Elliptic Curves over Finite Fields * Elliptic Curves over C * Elliptic Curves over Local Fields * Elliptic Curves over Global Fields * Integral Points on Elliptic Curves * Computing the Mordell-Weil Group * Appendices
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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. Codice articolo 2490882
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The arithmetic of elliptic curves. Graduate Texts in Mathematics; 106.
Editore:
New York, Springer Science + Business Media ca. 2008., 2008
ISBN 10: 0387962034
ISBN 13: 9780387962030
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Da: Antiquariat Bookfarm, Löbnitz, Germania
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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-04704 9780387962030 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2490944
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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)
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Condizione: good. This book is in Good condition. There may be some notes and highligting but otherwise the book is in overall good condition. Codice articolo BCV.0387962034.G
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The Arithmetic of Elliptic Curves - Linear and Nonlinear Functions
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The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
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THE ARITHMETIC OF ELLIPTIC CURVES
Da: LIBRERIA LEA+, Santiago, RM, Cile
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Dura. Condizione: New. Condizione sovraccoperta: Nuevo. No Aplica (illustratore). 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. Codice articolo 9780387962030LEA19537
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