Algebra (Cambridge Mathematical Textbooks) - (BookRAR)

  • CategoryOther
  • TypeE-Books
  • LanguageEnglish
  • Total size3.9 MB
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  • Last checkedAug. 31st '21
  • Date uploadedAug. 28th '21
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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.

Book Details

Language: English
Published: 2021
ISBN: 1108958230
Format: PDF

Files:

Algebra (Cambridge Mathematical Textbooks) Algebra (Cambridge Mathematical Textbooks)
  • Algebra (Cambridge Mathematical Textbooks).pdf (3.9 MB)
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