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Automatic Sequences Theory, Applications, Generalizations

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ISBN-10: 0521823323

ISBN-13: 9780521823326

Edition: 2003

Authors: Jean-Paul Allouche, Jeffrey Shallit

List price: $97.99
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Description:

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…    
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Book details

List price: $97.99
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 7/21/2003
Binding: Hardcover
Pages: 588
Size: 7.50" wide x 10.25" long x 1.50" tall
Weight: 2.530
Language: English

Preface
Stringology
Number theory and algebra
Numeration systems
Finite automata and other models of computation
Automatic sequences
Uniform morphisms and automatic sequences
Morphic sequences
Frequency of letters
Characteristic words
Subwords
Cobham's theorem
Formal power series
Automatic real numbers
Multidimensional automatic sequences
Automaticity
k-regular sequences
Physics
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