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portada Algebra (Cambridge Mathematical Textbooks)
Type
Physical Book
Author
Publisher
Year
2021
Language
English
Pages
488
Format
Paperback
Dimensions
23.9x19.8x2.5 cm
Weight
0.82 kg.
ISBN13
9781108958233
Edition No.
1
Categories

Algebra (Cambridge Mathematical Textbooks)

Paolo Aluffi (Author) · Cambridge University Press · Paperback

Algebra (Cambridge Mathematical Textbooks) - Aluffi, Paolo

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Synopsis "Algebra (Cambridge Mathematical Textbooks) "

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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