Fundamental problems, ideas and theories

著者

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

書誌事項

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

タイトル別名

Number theory I

Teorii︠a︡ chisel 1

Teoriya chisel 1

Теория чисел 1

Number theory 1

Number theory one

注記

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

内容説明・目次

巻冊次

: us ISBN 9780387533841

内容説明

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.

巻冊次

: gw ISBN 9783540533849

内容説明

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.

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA25912569
• ISBN:
  • 3540533842
  • 0387533842
• LCCN: 94046819
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: rus
• 出版地: Berlin ; New York
• ページ数/冊数: 303 p.
• 大きさ: 25 cm
• 分類:
  • NDC8 : 410.3
  • LCC : QA241
  • DC20 : 512/.72
  • NDC8 : 412
• 件名:
  • LCSH : Number theory
• 親書誌ID:
  • BA01321819