Elliptic Functions: 112 (Graduate Texts in Mathematics) - Tapa blanda

Lang, Serge

 
9781461291428: Elliptic Functions: 112 (Graduate Texts in Mathematics)
Tapa blanda
ISBN 10: 1461291429 ISBN 13: 9781461291428
Editorial: Springer, 2011

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2011
Idioma
Inglés
ISBN 10 
1461291429
ISBN 13 
9781461291428
Encuadernación
Tapa blanda
Número de páginas
344
Contacto del fabricante
no disponible
Persona responsable
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Otras ediciones populares con el mismo título

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

Edición Destacada

ISBN 10:  0387965084 ISBN 13:  9780387965086
Editorial: Springer, 1987
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