Elliptic Functions: 112 (Graduate Texts in Mathematics) - Softcover

Lang, Serge

 
9781461291428: Elliptic Functions: 112 (Graduate Texts in Mathematics)
Softcover
ISBN 10: 1461291429 ISBN 13: 9781461291428
Verlag: Springer, 2011

Inhaltsangabe

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre's results on division points. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic.

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Críticas

Second Edition

S. Lang

Elliptic Functions

"This book is an excellent addition to the literature and provides a rather complete picture of the modern theory of elliptic functions while remaining at a very concrete level."―MATHEMATICAL REVIEWS

Reseña del editor

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre's results on division points. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic.

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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
1461291429
ISBN 13 
9781461291428
Einband
Tapa blanda
Anzahl der Seiten
344
Kontakt zum Hersteller
Nicht verfügbar
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Weitere beliebte Ausgaben desselben Titels

9780387965086: Elliptic Functions: 112 (Graduate Texts in Mathematics, 112)

Vorgestellte Ausgabe

ISBN 10:  0387965084 ISBN 13:  9780387965086
Verlag: Springer, 1987
Hardcover