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Algebra (Cambridge Mathematical Textbooks) - (BookRAR)

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Nome:Algebra (Cambridge Mathematical Textbooks) - (BookRAR)
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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
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Categoria:Books
Lingua:English  English
Dimensione totale:3.86 MB
Info Hash:2ED86D1CBAAEB347088910BC2E6823BDD43AB1FD
Aggiunto di:bookrar Verified UploaderBook Worm
Data di aggiunta:2021-08-27 18:43:27
Stato torrent:Torrent Verified


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