Handbook of Computational Group Theory (Discrete Mathematics and Its Applications) - Hardcover

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

Hardcover

ISBN 10: 1584883723 ISBN 13: 9781584883722

Publisher: Chapman and Hall/CRC, 2005

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 this title

About the Author

Derek Holt has been at the University of Warwick since 1978, where he was made a professor in 2001. He has been active in group theory research for over 40 years and has over 100 publications to his name. He was awarded the LMS Junior Whitehead Prize in 1981 for his solution to the long-standing problem of classifying groups with more than one end. He has co-authored several books including the influential graduate text Handbook of Computational Group Theory (2005). He is Editor-in-Chief of the London Mathematical Society Journal of Computation and Mathematics, and is on the editorial board of several other journals.

Review

This is a book I am very happy to have, both for the choice of content and the quality of exposition. Its subject is a very complete and up-to-date review of computational group theory. ...All together, the book contains of a huge amount of information. ...I think every mathematician will want this book on his shelf.
-Mathematics of Computation

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2005
• ISBN 10: 1584883723
• ISBN 13: 9781584883722
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 530