Algebra (book)
_1st_edition.jpg) First edition | |
| Author | Serge Lang |
|---|---|
| Language | English |
| Series | Addison-Wesley Series in Mathematics |
| Subject | Algebra |
| Publisher | Addison-Wesley |
Publication date | 1965 |
| Pages | 508 |
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]
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]
References
- ^ a b Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211 (3rd revised ed.), Springer-Verlag, p. 929
- ^ "Algebra", MAA Reviews, Mathematical Association of America, December 15, 2005, retrieved June 2, 2025
- ^ Brandstein, A. G.; Lang, Serge (January 1967). "Algebra". The American Mathematical Monthly. 74 (1): 103. doi:10.2307/2314094. ISSN 0002-9890. JSTOR 2314094.
- ^ 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.
- ^ Bergman, George (August 25, 2006), A Companion to Lang's Algebra, retrieved June 2, 2025
Content Disclaimer
Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.
- The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
- There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
- It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
- Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
- Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.