{"product_id":"algebra-paolo-aluffi-9781108958233","title":"Algebra","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 na?e set theory.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Paolo Aluffi\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1108958230\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781108958233\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/03\/2021\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 488\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.80lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.40h x 7.80w x 1.00d","brand":"Paolo Aluffi","offers":[{"title":"Paperback","offer_id":43996560490751,"sku":"9781108958233","price":41.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_9be1cb17-cb7d-45d4-9013-60d665818176.jpg?v=1683342394","url":"https:\/\/www.whiterainbookhouse.com\/products\/algebra-paolo-aluffi-9781108958233","provider":"WR Book House","version":"1.0","type":"link"}