Handbook of Computational Group Theory

Derek F. Holt

ISBN 10: 1584883723 / ISBN 13: 9781584883722

Published by Taylor & Francis Inc Jan 2005, 2005

Neuware - This handbook covers the whole subject of computational group theory (CGT) at a level suitable for beginning graduate students who have some knowledge of group theory and computer algorithms. It develops the theory of algorithms in full detail, includes complexity analyses whenever possible, and highlights the connections between the different aspects of CGT and other areas of computer algebra. Several specialist sections provide pointers to the current state of the art in these areas, and all sections include exercises of varying difficulty. For each major collection of algorithms, the book includes a section describing applications both within and outside of group theory. Seller Inventory # 9781584883722

Synopsis:

The origins of computation group theory (CGT) date back to the late 19th and early 20th centuries. Since then, the field has flourished, particularly during the past 30 to 40 years, and today it remains a lively and active branch of mathematics. The Handbook of Computational Group Theory offers the first complete treatment of all the fundamental methods and algorithms in CGT presented at a level accessible even to advanced undergraduate students. It develops the theory of algorithms in full detail and highlights the connections between the different aspects of CGT and other areas of computer algebra. While acknowledging the importance of the complexity analysis of CGT algorithms, the authors' primary focus is on algorithms that perform well in practice rather than on those with the best theoretical complexity. Throughout the book, applications of all the key topics and algorithms to areas both within and outside of mathematics demonstrate how CGT fits into the wider world of mathematics and science. The authors include detailed pseudocode for all of the fundamental algorithms, and provide detailed worked examples that bring the theorems and algorithms to life.

About the Author:

Derek F. Holt, Bettina Eick, Eamonn A. O'Brien

Bibliographic Details

Title: Handbook of Computational Group Theory
Publisher: Taylor & Francis Inc Jan 2005
Publication Date: 2005
Binding: Buch
Condition: Neu