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 naive set theory.
Price: 58.58 AUD
Location: Hillsdale, NSW
End Time: 2025-02-11T06:51:48.000Z
Shipping Cost: 24.6 AUD
Product Images
Item Specifics
Return shipping will be paid by: Buyer
Returns Accepted: Returns Accepted
Item must be returned within: 30 Days
Return policy details:
EAN: 9781108958233
UPC: 9781108958233
ISBN: 9781108958233
MPN: N/A
Item Length: 23.9 cm
Number of Pages: 488 Pages
Publication Name: Algebra: Notes from the Underground
Language: English
Publisher: Cambridge University Press
Item Height: 244 mm
Subject: Mathematics
Publication Year: 2021
Type: Textbook
Item Weight: 840 g
Author: Paolo Aluffi
Item Width: 171 mm
Format: Paperback
