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Automatic sequences : = theory, applications, generalizations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Automatic sequences :/ Jean-Paul Allouche, Jeffrey Shallit.
其他題名:	theory, applications, generalizations /
作者:	Allouche, Jean-Paul,
其他作者:	Shallit, Jeffrey Outlaw,
面頁冊數:	1 online resource (xvi, 571 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Sequential machine theory. -
電子資源:	https://doi.org/10.1017/CBO9780511546563
ISBN:	9780511546563 (ebook)

Automatic sequences : = theory, applications, generalizations /
Allouche, Jean-Paul,1953-

Automatic sequences :theory, applications, generalizations /Jean-Paul Allouche, Jeffrey Shallit. - 1 online resource (xvi, 571 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511546563 (ebook)Subjects--Topical Terms:

632554
Sequential machine theory.

LC Class. No.: QA267.5.S4 / A55 2003

Dewey Class. No.: 515/.24

Automatic sequences : = theory, applications, generalizations /
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
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