Name: Lmsst: 24 Lectures on Elliptic Curves Paperback (London Mathematical Society Student Texts) (en Inglés)
Price: 248845.00 COP
Availability: InStock
Author: Cassels, J. W. S.
ISBN: 9780521425308

portada Lmsst: 24 Lectures on Elliptic Curves Paperback (London Mathematical Society Student Texts) (en Inglés)

Formato

Libro Físico

Autor

J. W. S. Cassels

Editorial

Cambridge University Press

Año

1991

Idioma

Inglés

N° páginas

144

Encuadernación

Tapa Blanda

Dimensiones

23.0 x 15.5 x 1.0 cm

Peso

0.22 kg.

ISBN13

9780521425308

N° edición

Categorías

Teoría de números
Geometría algebraica

Lmsst: 24 Lectures on Elliptic Curves Paperback (London Mathematical Society Student Texts) (en Inglés)

J. W. S. Cassels (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Lmsst: 24 Lectures on Elliptic Curves Paperback (London Mathematical Society Student Texts) (en Inglés)"

The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Wei finite basis theorem, points of finite order (Nagell-Lutz), etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the "Riemann hypothesis for function fields") and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch. Many examples and exercises are included for the reader, and those new to elliptic curves, whether they are graduate students or specialists from other fields, will find this a valuable introduction.