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Automatic Sequences: Theory, Applications, Generalizations
Amazon.com Product Description (ISBN 0521823323, Hardcover)Combining concepts of mathematics and computer science, this book is about the sequences of symbols that can be generated by simple models of computation called "finite automata". Suitable for graduate students or advanced undergraduates, it starts from elementary principles and develops the basic theory. The study then progresses to show how these ideas can be applied to solve problems in number theory and physics.
(retrieved from Amazon Fri, 28 Dec 2012 14:45:01 -0500)
"The authors develop the theory of automatic sequences and their generalizations, such as Sturmian words and [kappa]-regular sequences. Further, they discuss applications to number theory (particularly formal power series and transcendence in finite characteristic), physics, computer graphics, and music.". "Results are presented from first principles wherever feasible, and the book is supplemented by a collection of 460 exercises, 85 open problems, and more than 1600 citations to the literature. Thus, this book is suitable for graduate students or advanced undergraduates, as well as for mature researchers wishing to know more about this subject."--BOOK JACKET.
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