{"product_id":"combinatorial-algebra-syntax-and-semantics-9783319375908","title":"Combinatorial Algebra: Syntax and Semantics","description":"\u003cp\u003e • Author(s): Mark V. Sapir\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Algebra - Abstract\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eCombinatorial Algebra: Syntax and Semantics\u003c\/i\u003e provides a 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 the 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 book 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 be used in a classroom and for self-study, engagin\u003c\/p\u003eg anyone who wishes to learn and better understand this important area of mathematics.","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274071564439,"sku":"9783319375908","price":3639.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783319375908.webp?v=1769238684","url":"https:\/\/atlanticbooks.com\/products\/combinatorial-algebra-syntax-and-semantics-9783319375908","provider":"Atlantic Books","version":"1.0","type":"link"}