Algebra

Author(s)

• Lang, Serge

Bibliographic Information

Algebra

Serge Lang

（Graduate texts in mathematics, 211）

Springer, c2002

Rev. 3rd ed

Note

Includes bibliographical references (p. 895-901) and index

Description and Table of Contents

Description

This book is intended as a basic text for a one year course in algebra at the graduate level or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. For the new edition, the author has added exercises and made numerous corrections to the text. From MathSciNet's review of the first edition: "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the "right" way, and he never gets bogged down in the dry formalism which pervades some parts of algebra."

Table of Contents

Foreword * Groups * Rings * Modules * Polynomials * Algebraic Equations * Galois Theory * Extensions of Rings * Transcendental Extensions * Algebraic Spaces * Noetherian Rings and Modules * Real Fields * Absolute Values * Matrices and Linear Maps * Representation of One Endomorphism * Structure of Bilinear Forms * The Tensor Product * Semisimplicity * Representations of Finite Groups * The Alternating Product * General Homology Theory * Finite Free Resolutions * Appendices * Bibliography

by "Nielsen BookData"

Details

• NCID: BA55300798
• ISBN:
  • 9780387953854
• LCCN: 2001054916
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: xv, 914 p.
• Size: 25 cm
• Classification:
  • LCC : QA154.3
  • DC21 : 512
• Subject Headings:
  • LCSH : Algebra
• Parent Bibliography ID:
  • BA00010074