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Author: David B.A. Epstein Publisher: CRC Press ISBN: 1439865698 Category : Mathematics Languages : en Pages : 344
Book Description
This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. It is of interest to
Author: David B.A. Epstein Publisher: CRC Press ISBN: 1439865698 Category : Mathematics Languages : en Pages : 344
Book Description
This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. It is of interest to
Author: Matthew G. Kirschenbaum Publisher: Harvard University Press ISBN: 0674417070 Category : Computers Languages : en Pages : 379
Book Description
Writing in the digital age has been as messy as the inky rags in Gutenberg’s shop or the molten lead of a Linotype machine. Matthew Kirschenbaum examines how creative authorship came to coexist with the computer revolution. Who were the early adopters, and what made others anxious? Was word processing just a better typewriter, or something more?
Author: Charles C. Sims Publisher: Cambridge University Press ISBN: 0521432138 Category : Mathematics Languages : en Pages : 624
Book Description
Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theoretical computer scientists will find this book useful.
Author: Shirley A. Waterhouse Publisher: ISBN: 9780064537223 Category : Business & Economics Languages : en Pages : 278
Book Description
Textbook providing guideance to word processing - examines efficiency of office machinery having a high degree of automation (incl. Dictation equipment, typing systems, microfilms, e-mail), covers the evolution of new careers and occupations for office workers, and includes a glossary of terms and a directory of office equipment vendors in the USA. Bibliography p. 215, diagrams, illustrations and photographs.
Author: Benson Farb Publisher: American Mathematical Society ISBN: 147046389X Category : Mathematics Languages : en Pages : 651
Book Description
William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume II contains William Thurston's papers on the geometry and topology of 3-manifolds, on complexity, constructions and computers, and on geometric group theory.
Author: Markus Lohrey Publisher: Springer Science & Business Media ISBN: 1493907484 Category : Mathematics Languages : en Pages : 193
Book Description
The Compressed Word Problem for Groups provides a detailed exposition of known results on the compressed word problem, emphasizing efficient algorithms for the compressed word problem in various groups. The author presents the necessary background along with the most recent results on the compressed word problem to create a cohesive self-contained book accessible to computer scientists as well as mathematicians. Readers will quickly reach the frontier of current research which makes the book especially appealing for students looking for a currently active research topic at the intersection of group theory and computer science. The word problem introduced in 1910 by Max Dehn is one of the most important decision problems in group theory. For many groups, highly efficient algorithms for the word problem exist. In recent years, a new technique based on data compression for providing more efficient algorithms for word problems, has been developed, by representing long words over group generators in a compressed form using a straight-line program. Algorithmic techniques used for manipulating compressed words has shown that the compressed word problem can be solved in polynomial time for a large class of groups such as free groups, graph groups and nilpotent groups. These results have important implications for algorithmic questions related to automorphism groups.
Author: Joseph J. Rotman Publisher: Springer Science & Business Media ISBN: 1461245761 Category : Mathematics Languages : en Pages : 447
Book Description
A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.
Author: David B.A. Epstein
Author: David B.A. Epstein
Author: David B.A. Epstein
Author: Russell Allen Frank
Author: Matthew G. Kirschenbaum
Author: 
Author: Charles C. Sims
Author: Shirley A. Waterhouse
Author: Benson Farb
Author: Markus Lohrey
Author: Joseph J. Rotman