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33999031
Algebra (Cambridge Mathematical Textbooks)
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Item #:
33999031
VND 1251749
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- 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.
| Publisher | Cambridge University Press |
| Publication date | July 29, 2021 |
| Edition | 1st |
| Language | English |
| Print length | 488 pages |
| ISBN-10 | 1108958230 |
| ISBN-13 | 978-1108958233 |
| Item Weight | 1.85 pounds (840 grams) |
| Dimensions | 6.69 x 1.1 x 9.61 inches (17 x 2.8 x 24.4 cm) |
| Part of series | Cambridge Mathematical Textbooks |
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Algebra (Cambridge Mathematical Textbooks)
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