{"product_id":"combinatorial-algebra-mark-v-sapir-9783319375908","title":"Combinatorial Algebra: Syntax and Semantics","description":"\u003cp\u003e\u003ci\u003eCombinatorial Algebra: Syntax and Semantics\u003c\/i\u003e provides comprehensive account of many areas of combinatorial algebra. It contains self-contained proofs of more than 20 fundamental results, both classical and modern. This includes Golod-Shafarevich and Olshanskii's solutions of Burnside problems, Shirshov's solution of Kurosh's problem for PI rings, Belov's solution of Specht's problem for varieties of rings, Grigorchuk's solution of Milnor's problem, Bass-Guivarc'h theorem about growth of nilpotent groups, Kleiman's solution of Hanna Neumann's problem for varieties of groups, Adian's solution of von Neumann-Day's problem, Trahtman's solution of the road coloring problem of Adler, Goodwyn and Weiss. The book emphasize several   universal\" tools, such as trees, subshifts, uniformly recurrent words, diagrams and automata.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eWith over 350 exercises at various levels of difficulty and with hints for the more difficult problems, this book can be used as a textbook, and aims to reach a wide and diversified audience. No prerequisites beyond standard courses in linear and abstract algebra are required. The broad appeal of this textbook extends to a variety of student levels: from advanced high-schoolers to undergraduates and graduate students, including those in search of a Ph.D. thesis who will benefit from the \"Further reading and open problems\" sections at the end of Chapters 2 -5.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe book can also be used for self-study, engaging those beyond t\u003c\/p\u003ehe classroom setting: researchers, instructors, students, virtually anyone who wishes to learn and better understand this important area of mathematics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mark V. Sapir\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3319375903\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783319375908\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/22\/2016\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 355\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.15lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.77d","brand":"Mark V. Sapir","offers":[{"title":"Paperback","offer_id":43940771201279,"sku":"9783319375908","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_6380ab8f-1811-4e36-83ec-74822a4da11a.jpg?v=1681449089","url":"https:\/\/www.whiterainbookhouse.com\/products\/combinatorial-algebra-mark-v-sapir-9783319375908","provider":"WR Book House","version":"1.0","type":"link"}