Table of contents

  1. Front Matter
    Pages i-xv
  2. The Basic Objects of Algebra

    1. Front Matter
      Pages 1-1
    2. Serge Lang
      Pages 3-82
    3. Serge Lang
      Pages 83-116
    4. Serge Lang
      Pages 117-172
    5. Serge Lang
      Pages 173-220
  3. Algebraic Equations

    1. Front Matter
      Pages 221-222
    2. Serge Lang
      Pages 223-259
    3. Serge Lang
      Pages 261-332
    4. Serge Lang
      Pages 333-354
    5. Serge Lang
      Pages 355-375
    6. Serge Lang
      Pages 377-412
    7. Serge Lang
      Pages 413-447
    8. Serge Lang
      Pages 449-463
    9. Serge Lang
      Pages 465-499
  4. Linear Algebra and Representations

    1. Front Matter
      Pages 501-501
    2. Serge Lang
      Pages 503-552
    3. Serge Lang
      Pages 553-570
    4. Serge Lang
      Pages 571-600
    5. Serge Lang
      Pages 601-640

About this book


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. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text.

Comments on Serge Lang's Algebra:
Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books.
April 1999 Notices of the AMS, announcing that the author was awarded the Leroy P. Steele Prize for Mathematical Exposition for his many mathematics books.

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.
MathSciNet's review of the first edition


Algebra Textbook Category theory Textbook algebra linear algebra

Authors and affiliations

  • Serge┬áLang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science + Business Media LLC 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6551-1
  • Online ISBN 978-1-4613-0041-0
  • Series Print ISSN 0072-5285
  • About this book