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A graduate-level mathematics text on sequences generated by finite automata. It builds the theory from elementary principles, then applies it to number theory and physics. It suits advanced undergraduates and graduate students in mathematics or theoretical computer science. It is a specialized monograph rather than an introduction to automata theory in general, and it assumes comfort with proof-based mathematics.
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This book combines concepts from mathematics and computer science. It covers sequences of symbols that can be generated by simple models of computation called finite automata.
It starts from elementary principles and develops the basic theory. It then shows how these ideas can be applied to solve problems in number theory and physics. The book is suitable for graduate students or advanced undergraduates.
