A guide to groups, rings, and fields /
This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition t...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Washington, DC :
Mathematical Association of America,
2012.
|
| Series: | Dolciani mathematical expositions ;
no. 48. MAA guides ; no. 8. |
| Subjects: | |
| Online Access: | CONNECT |
MARC
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| 100 | 1 | |a Gouvêa, Fernando Q. |q (Fernando Quadros), |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJdGRqhFFCqbVB4rv7FFrq | |
| 245 | 1 | 2 | |a A guide to groups, rings, and fields / |c Fernando Q. Gouvêa. |
| 260 | |a Washington, DC : |b Mathematical Association of America, |c 2012. | ||
| 300 | |a 1 online resource (xvii, 309 pages) | ||
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| 490 | 1 | |a Dolciani mathematical expositions ; |v #48 | |
| 490 | 1 | |a MAA guides ; |v #8 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Algebra : classical, modern, and ultramodern ; Categories ; Algebraic structures ; Groups and their representations ; Rings and modules ; Fields and skew fields. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs. Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work. | ||
| 500 | |a EBSCO eBook Academic Comprehensive Collection North America |5 TMurS | ||
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Rings (Algebra) | |
| 650 | 0 | |a Algebraic fields. | |
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| 776 | 0 | 8 | |i Print version: |a Gouvea, Fernando Q. |t Guide to groups, rings, and fields. |d Washington : Mathematical Assn America, 2012 |z 0883853558 |w (OCoLC)823041999 |
| 830 | 0 | |a Dolciani mathematical expositions ; |v no. 48. | |
| 830 | 0 | |a MAA guides ; |v no. 8. | |
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