Automatic Sequences (e-bog) af Shallit, Jeffrey
Shallit, Jeffrey (forfatter)

Automatic Sequences e-bog

546,47 DKK (inkl. moms 683,09 DKK)
Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated by 'finite automata'. The authors apply the theory to the study of automatic sequences and their generalizations, such as Sturmian words and k-regular sequences. And further, they provide applicati...
E-bog 546,47 DKK
Forfattere Shallit, Jeffrey (forfatter)
Udgivet 20 december 2004
Genrer PBH
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9780511055751
Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated by 'finite automata'. The authors apply the theory to the study of automatic sequences and their generalizations, such as Sturmian words and k-regular sequences. And further, they provide applications to number theory (particularly to formal power series and transcendence in finite characteristic), physics, computer graphics, and music. Starting from first principles wherever feasible, basic results from combinatorics on words, numeration systems, and models of computation are discussed. Thus this book is suitable for graduate students or advanced undergraduates, as well as for mature researchers wishing to know more about this fascinating subject. Results are presented from first principles wherever feasible, and the book is supplemented by a collection of 460 exercises, 85 open problems, and over 1600 citations to the literature.