{"product_id":"9783319080307","title":"Springer Monographs in Mathematics","description":"\u003ch1\u003eSpringer Monographs in Mathematics\u003c\/h1\u003e \u003ch2\u003eSapir, Mark V.; Guba, Victor S.; Volkov, Mikhail V.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\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. \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2014-10-22\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319080307\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-08031-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 355\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":44521599729804,"sku":"9783319080307","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319080307.jpg?v=1775706078","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319080307","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}