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

Yu. Manin; Alexei A. Panchishkin

ISBN 10: 3540533842 / ISBN 13: 9783540533849

Published by Springer, 1995

About this Item

Type: Book N.B. Small plain label to front paste down. (MATHEMATICS).

Seller Inventory # 300456

Bibliographic Details

• Title: Number Theory: No.1: Fundamental Problems, Ideas and Theories (Encyclopaedia of Mathematical Sciences)
• Publisher: Springer
• Publication Date: 1995
• Language: English
• ISBN 10: 3540533842
• ISBN 13: 9783540533849
• Binding: Cloth
• Condition: Very Good
• Dust Jacket Condition: No d/j as Published
• Weight: 20 ounces
• Seller catalogs:
  • MATHEMATICS

About this title

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.

Language Notes

Text: English (translation)
Original Language: Russian