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Algebra - Notes From The Underground Empty Algebra - Notes From The Underground

Vie Ago 27, 2021 8:53 pm

Algebra - Notes From The Underground 233c22a1bef2ce360b3e4e8a6287d4fe
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Algebra - Notes From The Underground
pdf | 3.86 MB | English | Isbn:‎ 978-1108958233 | Author: Aluffi, Paolo | Year: 2021

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Description:

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.

Category:Algebra & Trigonometry, Algebra


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