Number Theory I: Fundamental Problems, Ideas and Theories - Couverture rigide

Parshin, A-N; Shafarevich, I-R; Collectif

 
9783540533849: Number Theory I: Fundamental Problems, Ideas and Theories

Synopsis

This book surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. The authors have tried to present the most significant results and methods of modern time. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. An overview of the major conjectures is also given in order to illustrate current thinking in number theory. Most of these conjectures are based on analogies between functions and numbers, and on connections with other branches of mathematics such as analysis, representation theory, geometry and algebraic topology.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780387533841: Number Theory I: Fundamental Problems, Ideas and Theories

Edition présentée

ISBN 10 :  0387533842 ISBN 13 :  9780387533841
Editeur : Springer Verlag, 1995
Couverture rigide