Algebra : Notes from the Underground Paperback / softback
by Paolo (Florida State University) Aluffi
Part of the Cambridge Mathematical Textbooks series
Paperback / softback
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.
Information
-
Only a few left - usually despatched within 24 hours
- Format:Paperback / softback
- Pages:488 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:03/06/2021
- Category:
- ISBN:9781108958233
Information
-
Only a few left - usually despatched within 24 hours
- Format:Paperback / softback
- Pages:488 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:03/06/2021
- Category:
- ISBN:9781108958233
