Basic Notions of Algebra
From the reviews: "This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..." Zentralblatt für Mathematik und Ihre Grenzgebiete, 1991 "...which I read like a novel and...
Enregistré dans:
| 主要作者: | |
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| 其他作者: | |
| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2005. |
| 叢編: | Encyclopaedia of Mathematical Sciences
11 |
| 主題: | |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Basic Notions of Algebra, Texte imprimé, 9783540808565 • Basic notions of algebra, I.R. Shafarevich, Berlin, Springer, 2005, 1 vol. (258 p.), Encyclopaedia of mathematical sciences, 3-540-25177-4 • Basic notions of algebra, I. R. Shafarevich, Berlin, Springer, 1997, 1 vol. (258 p.), 3-540-61221-1 • Basic Notions of Algebra, Texte imprimé, 9783642425165 • Basic Notions of Algebra, Texte imprimé, 9783540170068 |
書本目錄:
- What is Algebra? Fields Commutative Rings Homomorphisms and Ideals Modules Algebraic Aspects of Dimension The Algebraic View of Infinitesimal Notions Noncommutative Rings Modules over Noncommutative Rings Semisimple Modules and Rings Division Algebras of Finite Rank The Notion of a Group Examples of Groups: Finite Groups Examples of Groups: Infinite Discrete Groups Examples of Groups: Lie Groups and Algebraic Groups General Results of Group Theory Group Representations Some Applications of Groups Lie Algebras and Nonassociative Algebra Categories Homological Algebra K-theory