Algebra (book)
Graduate level textbook on algebra
From Wikipedia, the free encyclopedia
Algebra is a graduate-level textbook on abstract algebra written by Serge Lang and was originally published by Addison-Wesley in 1965. Its intended audience is students in graduate-level courses and readers who have previously attended undergraduate-level algebra courses.[1]
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First edition | |
| Author | Serge Lang |
|---|---|
| Language | English |
| Series | Addison-Wesley Series in Mathematics |
| Subject | Algebra |
| Publisher | Addison-Wesley |
Publication date | 1965 |
| Pages | 508 |
Topics
The third edition is divided into four parts.[1]
- The first part, The Basic Objects of Algebra, covers groups, rings, modules, and polynomials.
- The second part, Algebraic Equations, focuses on field theory and includes a chapter on Noetherian rings and modules.
- The third part, Linear Algebra and Representations, contains chapters on the tensor product of modules and semi-simplicity.
- The fourth part, Homological Algebra, covers general homology theory and finite free resolutions.
Audience and reception
The Mathematical Association of America (MAA) recommends that undergraduate mathematics libraries have a copy of Lang's Algebra available.[2]
Reviews of Algebra appeared in The Mathematical Gazette in 1967 and 2003.[3][4]
Professor George Bergman of University of California, Berkeley wrote Companion to Lang's Algebra, a 222-page book of notes collected when teaching Berkeley's basic graduate algebra course from Lang’s book.[5]