Algebra VI: Combinatorial and Asymptotic Methods of Algebra. Non-Associative Structures (Encyclopaedia of Mathematical Sciences) - Softcover
Synopsis
This volume of the Encyclopaedia contains two contributions, one on combinatorial and asymptotic methods in algebra and one on non-associative structures. Both are surveys which are written for non-specialists and although the topics treated are of an algebraic nature they are also related to topology, differential geometry, computer algebra and quantum physics. The book will be a valuable source of information for graduate students and researchers in mathematics, computer science and theoretical physics.
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Text: English (translation)
Original Language: Russian
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Algebra VI: Combinatorial and Asymptotic Methods of Algebra. Non-Associative Structures (Encyclopaedia of Mathematical Sciences)
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This monograph contains two self-contained surveys of key aspects of algebra, complete with definitions and simple properties and references to proofs in the literature. The book will be of great interest to graduate students and researchers in mathemati. Seller Inventory # 5047171
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Algebra VI: Combinatorial and Asymptotic Methods of Algebra. Non-associative Structures
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Algebra VI
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Algebra VI
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This volume of the Encyclopaedia contains two contributions, one on combinatorial and asymptotic methods in algebra and one on non-associative structures. Both are surveys which are written for non-specialists and although the topics treated are of an algebraic nature they are also related to topology, differential geometry, computer algebra and quantum physics. The book will be a valuable source of information for graduate students and researchers in mathematics, computer science and theoretical physics.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 300 pp. Englisch. Seller Inventory # 9783642081248
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Algebra VI : Combinatorial and Asymptotic Methods of Algebra. Non-Associative Structures
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains two contributions: 'Combinatorial and Asymptotic Methods in Algebra' by V.A. Ufnarovskij is a survey of various combinatorial methods in infinite-dimensional algebras, widely interpreted to contain homological algebra and vigorously developing computer algebra, and narrowly interpreted as the study of algebraic objects defined by generators and their relations. The author shows how objects like words, graphs and automata provide valuable information in asymptotic studies. The main methods emply the notions of Gröbner bases, generating functions, growth and those of homological algebra. Treated are also problems of relationships between different series, such as Hilbert, Poincare and Poincare-Betti series. Hyperbolic and quantum groups are also discussed. The reader does not need much of background material for he can find definitions and simple properties of the defined notions introduced along the way. 'Non-Associative Structures' by E.N.Kuz'min and I.P.Shestakov surveys the modern state of the theory of non-associative structures that are nearly associative. Jordan, alternative, Malcev, and quasigroup algebras are discussed as well as applications of these structures in various areas of mathematics and primarily their relationship with the associative algebras. Quasigroups and loops are treated too. The survey is self-contained and complete with references to proofs in the literature. The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics. Seller Inventory # 9783642081248
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