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Algebra: Notes from the Underground

AUTHOR Aluffi, Paolo
PUBLISHER Cambridge University Press (06/03/2021)
PRODUCT TYPE Paperback (Paperback)

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.
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Product Format
Product Details
ISBN-13: 9781108958233
ISBN-10: 1108958230
Binding: Paperback or Softback (Trade Paperback (Us))
Content Language: English
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Page Count: 488
Carton Quantity: 9
Product Dimensions: 7.80 x 1.00 x 9.40 inches
Weight: 1.80 pound(s)
Feature Codes: Price on Product
Country of Origin: US
Subject Information
BISAC Categories
Mathematics | Algebra - General
Dewey Decimal: 512
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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.
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List Price $45.00
Your Price  $44.55
Paperback