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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
This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articles on a wide variety of topics in group theory. Readers will find a variety of contributions, including a collection of over 170 open problems in combinatorial group theory, three excellent survey papers (on boundaries of hyperbolic groups, on fixed points of free group automorphisms, and on groups of automorphisms of compactRiemann surfaces), and several original research papers that represent the diversity of current trends in combinatorial and geometric group theory. The book is an excellent reference source for graduate students and research mathematicians interested in various aspects of group theory.
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.
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.
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?
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A step-by-step guide for students with examples, exercises and texts covering the Text Processing, Typing, Mailmerge and Word Processing modules at Stage II.
Supports the idea of matching the "system" to the technical writer's needs. This book contains numerous questions and answers.
As technological innovation continues to affect language pedagogy, there is an increasing demand for information, exemplars, analysis and guidance. This edited volume focuses on international perspectives in Computer-Assisted Language Learning (CALL) in all of its forms, including Technology Enhanced Language Learning, Network-Based Language Learning, Information and Communication Technologies for Language Learning.