Automatic Sequences Theory, Applications, Generalizations

Name: Automatic Sequences Theory, Applications, Generalizations
Price: 27.74 USD
Availability: InStock
ISBN: 9780521823326

ISBN-10: 0521823323

ISBN-13: 9780521823326

Edition: 2003

Authors: Jean-Paul Allouche, Jeffrey Shallit

List price: $111.00

This item qualifies for FREE shipping.

30 day, 100% satisfaction guarantee!

Buy new: $92.52

Marketplace

5 new & used from $27.74

what's this?

Rush Rewards U
Members Receive:

You have reached 400 XP and carrot coins. That is the daily max!

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…

Book details

List price: $111.00
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 7/21/2003
Binding: Hardcover
Pages: 588
Size: 7.05" wide x 10.47" long x 1.50" tall
Weight: 2.552
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



Hints ï¿½Ç for selected exercises