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Algebra (Cambridge Mathematical Textbooks) free ebook download

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Mathematics

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Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	1108958230
Pages:	488	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	4/21/2022 11:14:58 PM

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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 nave set theory.
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3115546	Book	https://nitro.download/view/17005FABA4A5...		0.00	alex21s

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Algebra (Cambridge Mathematical Textbooks) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics