Number Theory I: Fundamental Problems, Ideas and Theories: No.1 (Encyclopaedia of Mathematical Sciences) - Hardcover

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

 
9783540533849: Number Theory I: Fundamental Problems, Ideas and Theories: No.1 (Encyclopaedia of Mathematical Sciences)
Hardcover
ISBN 10: 3540533842 ISBN 13: 9783540533849
Verlag: Springer Verlag, 1995

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer Verlag
Erscheinungsdatum
1995
Sprache
Englisch
ISBN 10 
3540533842
ISBN 13 
9783540533849
Einband
Tapa dura
Anzahl der Seiten
308
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

Weitere beliebte Ausgaben desselben Titels

9780387533841: Number Theory I: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  0387533842 ISBN 13:  9780387533841
Verlag: Springer Verlag, 1995
Hardcover