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Algebra (Cambridge Mathematical Textbooks) {BooksHash}




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.



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Categoria:Books
Lingua:English  English
Dimensione totale:3.86 MB
Info Hash:8A2195BEEC50F457DEA5D066D9B713C454F85A73
Aggiunto di:bookshash Verified UploaderBook Worm
Data di aggiunta:2021-08-26 18:35:38
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