This article contains wording that promotes the subject in a subjective manner without imparting real information. (August 2025) |
Algebra is a graduate-level textbook on abstract algebra written by Serge Lang. The textbook was originally published by Addison-Wesley in 1965.[1]
_1st_edition.jpg) First edition | |
| Author | Serge Lang |
|---|---|
| Language | English |
| Series | Addison-Wesley Series in Mathematics |
| Subject | Algebra |
| Genre | Textbook |
| Publisher | Addison-Wesley |
Publication date | 1965 |
| Pages | 508 |
Topics
editThe 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 final part, Homological Algebra, covers general homology theory and finite free resolutions.
Audience and reception
editSerge Lang was awarded the Leroy P. Ste[2]ele Prize for exposition by AMS in April 1999.
The Mathematical Association of America (MAA) recommends undergraduate mathematics libraries have a copy of Algebra available.[3]
The 2012 edition lists over 10,000 citations on Google Scholar and has been noted as a common reference material for papers in algebra.[4]
Algebra received praise from mathematicians Gerry Leversha and Gerry Brandstein in The Mathematical Gazette in its 1967 and 2003 issues, respectively.[5][6]
Professor George Bergman of 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.[7]
References
edit- ^ a b Cite error: The named reference
thirdwas invoked but never defined (see the help page). - ^ "Leroy P. Steele Prize", Wikipedia, 2025-08-13, retrieved 2025-08-27
- ^ Cite error: The named reference
maawas invoked but never defined (see the help page). - ^ Cite error: The named reference
obitwas invoked but never defined (see the help page). - ^ Brandstein, A. G.; Lang, Serge (January 1967). "Algebra". The American Mathematical Monthly. 74 (1): 103. doi:10.2307/2314094. ISSN 0002-9890.
- ^ Leversha, Gerry (July 2003). "Algebra, by Serge Lang. Pp. 914. £52.50 (hbk). 2002. ISBN 0 387 95385 X (Springer-Verlag)". The Mathematical Gazette. 87 (509): 390–391. doi:10.1017/s0025557200173310. ISSN 0025-5572.
- ^ Cite error: The named reference
bergmanwas invoked but never defined (see the help page). - ^ "AMS :: Leroy P. Steele Prize for Mathematical Exposition (1993 - present)". www.ams.org. Retrieved 2025-08-27.