Number theory I. Fundamental problems, ideas and theories. (Encyclopaedia of mathematical sciences, vol.49) - Hardcover

Hardcover

ISBN 10: 3540533842 ISBN 13: 9783540533849

Verlag: Springer, 1995

Inhaltsangabe

A unified survey of both the status quo and the continuing trends of various branches of number theory. Motivated by elementary problems, the authors present todays most significant results and methods. Topics covered include non-Abelian generalisations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. The book is rounded off with an overview of the major conjectures, most of which 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

Von der hinteren Coverseite

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 (including some modern areas such as cryptography, factorization and primality testing), the central ideas of modern theories are exposed: algebraic number theory, calculations and properties of Galois groups, non-Abelian generalizations of class field theory, recursive computability and links with Diophantine equations, the arithmetic of algebraic varieties, connections with modular forms, zeta- and L-functions. The authors have tried to present the most significant results and methods of modern time. 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 algebraic topology, analysis, representation theory and geometry

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1995
• Sprache: Englisch
• ISBN 10: 3540533842
• ISBN 13: 9783540533849
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 311
• Herausgeber: A. N. Parshin, Igor R. Shafarevich
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland