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Author:   Dale Husemöller
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2nd ed. 2004
Volume:   111
Dimensions:   Width: 15.50cm , Height: 2.80cm , Length: 23.50cm
Weight:   1.980kg
ISBN:  

9780387954905

ISBN 10:   0387954902
Pages:   490
Publication Date:   22 December 2003
Audience:   General/trade ,  College/higher education ,  Professional and scholarly ,  General ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

to Rational Points on Plane Curves.- Elementary Properties of the Chord-Tangent Group Law on a Cubic Curve.- Plane Algebraic Curves.- Elliptic Curves and Their Isomorphisms.- Families of Elliptic Curves and Geometric Properties of Torsion Points.- Reduction mod p and Torsion Points.- Proof of Mordell’s Finite Generation Theorem.- Galois Cohomology and Isomorphism Classification of Elliptic Curves over Arbitrary Fields.- Descent and Galois Cohomology.- Elliptic and Hypergeometric Functions.- Theta Functions.- Modular Functions.- Endomorphisms of Elliptic Curves.- Elliptic Curves over Finite Fields.- Elliptic Curves over Local Fields.- Elliptic Curves over Global Fields and ?-Adic Representations.- L-Function of an Elliptic Curve and Its Analytic Continuation.- Remarks on the Birch and Swinnerton-Dyer Conjecture.- Remarks on the Modular Elliptic Curves Conjecture and Fermat’s Last Theorem.- Higher Dimensional Analogs of Elliptic Curves: Calabi-Yau Varieties.- Families of Elliptic Curves.

Reviews

From the reviews of the second edition: Husemoeller's text was and is the great first introduction to the world of elliptic curves ... and a good guide to the current research literature as well. ... this second edition builds on the original in several ways. ... it has certainly gained a good deal of topicality, appeal, power of inspiration, and educational value for a wider public. No doubt, this text will maintain its role as both a useful primer and a passionate invitation to the evergreen theory of elliptic curves and their applications (Werner Kleinert, Zentralblatt MATH, Vol. 1040, 2004)

From the reviews of the second edition: Husemoller's text was and is the great first introduction to the world of elliptic curves ! and a good guide to the current research literature as well. ! this second edition builds on the original in several ways. ! it has certainly gained a good deal of topicality, appeal, power of inspiration, and educational value for a wider public. No doubt, this text will maintain its role as both a useful primer and a passionate invitation to the evergreen theory of elliptic curves and their applications (Werner Kleinert, Zentralblatt MATH, Vol. 1040, 2004)

From the reviews of the second edition: <p> HusemAllera (TM)s text was and is the great first introduction to the world of elliptic curves a ] and a good guide to the current research literature as well. a ] this second edition builds on the original in several ways. a ] it has certainly gained a good deal of topicality, appeal, power of inspiration, and educational value for a wider public. No doubt, this text will maintain its role as both a useful primer and a passionate invitation to the evergreen theory of elliptic curves and their applications (Werner Kleinert, Zentralblatt MATH, Vol. 1040, 2004)

From the reviews of the second edition: Husemoller's text was and is the great first introduction to the world of elliptic curves ... and a good guide to the current research literature as well. ... this second edition builds on the original in several ways. ... it has certainly gained a good deal of topicality, appeal, power of inspiration, and educational value for a wider public. No doubt, this text will maintain its role as both a useful primer and a passionate invitation to the evergreen theory of elliptic curves and their applications (Werner Kleinert, Zentralblatt MATH, Vol. 1040, 2004)

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