Automatic Sequences: Theory, Applications, Generalizations - Hardcover

Allouche, Jean-Paul; Shallit, Jeffrey

Hardcover

ISBN 10: 0521823323 ISBN 13: 9780521823326

Publisher: Cambridge University Press, 2003

Synopsis

This book is the first integrated treatment of sequences generated by finite automata and their generalizations.

About this title

Review

'... the very first book that gathers together results from various fields of mathematics and computer science that appeared in a broad variety of journals. It presents the results in a unified manner, making use of a consistent notation and introduces some good unifying terminology, and including most of the material needed for a comprehensive exposition ... useful also as a handbook for self study ... extremely valuable as a reference text ... I strongly recommend this excellent book to anybody interested in interaction between theoretical computer science and mathematics.' ACM SIGACT News

'The book is very well written, and contains a tremendous amount of information ... Advanced students and researchers will delight in reading Automatic Sequences.' Bulletin of the London Mathematical Society

'The material presented in this book is well balanced, and is presented in a consistent framework ... I highly recommend this book to interested readers, from advanced undergraduates to experts in the field of formal languages and number theory.' Computing Reviews

'The book will be of use for beginners as well as for advanced students and researchers.' EMS Newsletter

'This book has been written with the greatest care, in a clear and concise style. The authors have included a number of well-chosen examples which illustrate the general theory. Specialists would particularly appreciate the notes at the end of the chapter, recalling the main contributions and the history of the concepts that are discussed. They also provide a useful link with the impressive bibliography.' Semigroup Forum

'Allouche and Shallit's books presents an introduction to the fascinating subject of automatic sequences. This is the first book that systematically develops the theory of these sequences.' Zentralblatt MATH

Book Description

This is a book about the sequences of symbols that can be generated by simple models of computation called 'finite automata'. It starts from first principles and develops the basic theory, then demonstrates applications to problems in number theory and physics. Suitable for graduates or advanced undergraduates.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2003
• Language: English
• ISBN 10: 0521823323
• ISBN 13: 9780521823326
• Binding: Hardcover
• Number of pages: 588