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Algebra / Serge Lang

Main Author Lang, Serge, 1927-2005 Country Estados Unidos. Edition 3rd ed Publication Reading, Mass. : Addison-Wesley, cop. 1993 Description XV, 912 p. ; 25 cm ISBN 0-201-55540-9 CDU 512
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Item type Current location Call number Status Date due Barcode Item holds
Monografia Biblioteca da UMinho no Campus de Azurém
BPG 512 - L Available 129790
Total holds: 0

Enhanced descriptions from Syndetics:

This basic text for a one-year course in algebra at the graduate level thoroughly prepares students to handle the algebra they will use in all of mathematics. The author assumes that students have a basic familiarity with the language of mathematics "i.e.: sets and mapping, integers, and rational numbers." The text was thoroughly revised and enhanced in response to reviewers' comments and suggestions. Designed to improve students' retention and comprehension, the text is divided into four parts. The first introduces the basic notions of algebra. The second covers the direction of algebraic equations, including the Galois theory, and the final two parts cover the direction of linear and multilinear algebra.

Table of contents provided by Syndetics

  • I The Basic Objects Of Algebra Groups
  • Groups
  • Rings
  • Modules
  • Polynomials
  • II Algebraic Equations
  • Algebraic Extensions
  • Galois Theory
  • Extensions of Rings
  • Transcendental Extensions
  • Algebraic Spaces
  • Noetherian Rings and Modules
  • Real Fields
  • Absolute Values
  • III Linear Algebra and Representations
  • Matrices and Linear Maps
  • Representation of One Endomorphism
  • Structure of Bilinear Forms
  • The Tensor Product
  • Semisimplicity
  • Representations of Finite Groups
  • The Alternating Product
  • IV Homological Algebra
  • General Homology Theory
  • Finite Free Resolution
  • Appendices

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