| Description |
1 online resource (xv, 471 pages) |
| Series |
Cambridge mathematical textbooks |
|
Cambridge mathematical textbooks.
|
| Summary |
From rings to modules to groups to fields, this undergraduate introduction to abstract algebra follows an unconventional path. The text emphasizes a modern perspective on the subject, with gentle mentions of the unifying categorical principles underlying the various constructions and the role of universal properties. A key feature is the treatment of modules, including a proof of the classification theorem for finitely generated modules over Euclidean domains. Noetherian modules and some of the language of exact complexes are introduced. In addition, standard topics - such as the Chinese Remainder Theorem, the Gauss Lemma, the Sylow Theorems, simplicity of alternating groups, standard results on field extensions, and the Fundamental Theorem of Galois Theory - are all treated in detail. Students will appreciate the text's conversational style, 400+ exercises, an appendix with complete solutions to around 150 of the main text problems, and an appendix with general background on basic logic and naïve set theory |
| Notes |
Vendor-supplied metadata |
| Subject |
Algebra.
|
|
Algebra -- Problems, exercises, etc
|
|
algebra.
|
|
Algebra.
|
| Genre/Form |
exercise books.
|
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Problems and exercises.
|
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Problems and exercises.
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Problèmes et exercices.
|
| Form |
Electronic book
|
| ISBN |
9781108955911 |
|
1108955916 |
|
