Algebra - Notes from the Underground (Paperback)

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 naive set theory.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Mathematical Textbooks
Release date:	June 2021
Authors:	Paolo Aluffi
Dimensions:	244 x 171 x 27mm (L x W x T)
Format:	Paperback - Trade
Pages:	488
ISBN-13:	978-1-108-95823-3
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	1-108-95823-0
Barcode:	9781108958233

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