《代數學基礎 : [英文本] | Basic Notions of Algebra影印版》是2006年科學出版社出版的圖書，作者是[俄]Igor R.Shafarevich。
基本介紹
- 書名：代數學基礎 : [英文本] | Basic Notions of Algebra影印版
- 作者：[俄]Igor R.Shafarevich
- 出版社：科學出版社
- ISBN：7030166914
內容簡介,圖書目錄,
內容簡介
本書論述代數學及其在現代數學和科學中的地位，高度原創且內容充實，作者通過討論大學代數課程，闡述每個代數概念的起源與物理現象及其他數學分支之間的聯繫。
圖書目錄
- Preface
- 1. What is Algebra?
- 2. Fields
- 3. Commutative Rings
- 4. Homomorphisms and Ideals
- 5. Modules
- 6. Algebraic Aspects of Dimension
- 7. The Algebraic View of Infinitesimal Notions
- 8. Noncommutative Rings
- 9. Modules over Noncommutative Rings
- 10. Semisimple Modules and Rings
- 11. Division Algebras of Finite Rank
- 12. The Notion of a Group
- 13. Examples of Groups:Finite Groups
- 14. Examples of Groups:Infinite Discrete Groups
- 15. Examples of Groups:Lie Groups and Algebraic Groups
- 16. General Results of Group Theory
- 17. Group Representations
- 18. Some Applications of Groups
- 19. Lie Algebras and Nonassociative Algebra
- 20. Categories
- 21. Homological Algebra
- 22. K-theory
Comments on the Literature
References
Index of Names
Subject Index
