Fundamental problems, ideas and theories

Author(s)

• Parshin, A. N.
• Shafarevich, Igorʹ Rostislavovich
• Manin, I︠U︡. I.
• Panchishkin, Alexey A.

Bibliographic Information

Fundamental problems, ideas and theories

A.N. Parshin, I.R. Shafarevich (eds.)

（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 49 . Number theory ; 1）

Springer, c1995

• : gw
• : us

Other Title

Number theory I

Teorii︠a︡ chisel 1

Teoriya chisel 1

Теория чисел 1

Number theory 1

Number theory one

Note

Issued originally as: Teorii︠a︡ chisel 1, v. 49 of the serial: Itogi nauki i tekhniki, Serii︠a︡ Sovremennye problemy matematiki. Fundamentalʹnye napravlenii︠a︡

"Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, vol. 49, Teoriya chisel 1. Publisher VINITI, Moscow 1990"--T.p. verso

Authors and translators: Yu.I. Manin and A.A. Panchishkin

Includes bibliographical references (p. 275-294) and subject index

Description and Table of Contents

Volume

: us ISBN 9780387533841

Description

This text 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.

Volume

: gw ISBN 9783540533849

Description

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.

Table of Contents

Contents: Introduction to Number Theory by Yu.I. Manin and A.A. Panchishkin.

by "Nielsen BookData"

• NCID: BA25912569
• ISBN:
  • 3540533842
  • 0387533842
• LCCN: 94046819
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Berlin ; New York
• Pages/Volumes: 303 p.
• Size: 25 cm
• Classification:
  • NDC8 : 410.3
  • LCC : QA241
  • DC20 : 512/.72
  • NDC8 : 412
• Subject Headings:
  • LCSH : Number theory
• Parent Bibliography ID:
  • BA01321819