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Automatische Sequenzen: Theorie, Anwendungen, Verallgemeinerungen von Jeffrey...

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“From private estate. In excellent condition.”
ISBN
9780521823326
Subject Area
Computers, Mathematics
Publication Name
Automatic Sequences : Theory, Applications, Generalizations
Item Length
10.5 in
Publisher
Cambridge University Press
Subject
Machine Theory, General, Number Theory
Publication Year
2003
Type
Textbook
Format
Hardcover
Language
English
Item Height
1.5 in
Author
Jean-Paul Allouche, Jeffrey Shallit
Item Width
7 in
Item Weight
40.8 Oz
Number of Pages
588 Pages

Über dieses Produkt

Product Information

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.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521823323
ISBN-13
9780521823326
eBay Product ID (ePID)
2259152

Product Key Features

Author
Jean-Paul Allouche, Jeffrey Shallit
Publication Name
Automatic Sequences : Theory, Applications, Generalizations
Format
Hardcover
Language
English
Subject
Machine Theory, General, Number Theory
Publication Year
2003
Type
Textbook
Subject Area
Computers, Mathematics
Number of Pages
588 Pages

Dimensions

Item Length
10.5 in
Item Height
1.5 in
Item Width
7 in
Item Weight
40.8 Oz

Additional Product Features

LCCN
2002-041262
Intended Audience
Scholarly & Professional
Lc Classification Number
Qa267.5.S4 A55 2003
Reviews
'… the very first book that gathers together results from various fields of mathematics and computer science that appeared in a broad variety of journals. It presents the results in a unified manner, making use of a consistent notation and introduces some good unifying terminology, and including most of the material needed for a comprehensive exposition … useful also as a handbook for self study … extremely valuable as a reference text … I strongly recommend this excellent book to anybody interested in interaction between theoretical computer science and mathematics.' ACM SIGACT News, 'The material presented in this book is well balanced, and is presented in a consistent framework … I highly recommend this book to interested readers, from advanced undergraduates to experts in the field of formal languages and number theory.' Computing Reviews, 'The material presented in this book is well balanced, and is presented in a consistent framework ... I highly recommend this book to interested readers, from advanced undergraduates to experts in the field of formal languages and number theory.' Computing Reviews, "[A] fine book...I highly recommend Automatic Sequences, whether as text, reference, or all the more as an excellent read, both to rank beginners and to those already acquainted with parts of the subject." Alf van der Poorten, Centre for Number Theory Research, Mathematics of Computation, 'The book is very well written, and contains a tremendous amount of information ... Advanced students and researchers will delight in reading Automatic sequences.' Bulletin of the London Mathematical Society, "It is extremely valuable as a reference text for researchers... I strongly recommend this book to anybody interested in interaction between theoretical computer science and mathematics." Jean Berstel, SIGACT News, 'The book will be of use for beginners as well as for advanced students and researchers.' EMS Newsletter, "The book is a successful combination of a monograph (almost encyclopedic) and an introduction to the subject. Professional mathematicians and theoretical computer scientists will find the most important results, applications and examples of the theory, with motivation, cleverly collected and clearly represented. Selected applications in number theory, combinatorics on words and physics show the strength of the theory. Lists of open questions show the way for further development. All this is supplemented with a bibliographical notes and comments, and an impressive list of references...This is a good and carefully written book by two experts in the field." Guentcho Skordev, University of Bremen, 'Allouche and Shallit's books presents an introduction to the fascinating subject of automatic sequences. This is the first book that systematically develops the theory of these sequences.' Zentralblatt MATH, '... the very first book that gathers together results from various fields of mathematics and computer science that appeared in a broad variety of journals. It presents the results in a unified manner, making use of a consistent notation and introduces some good unifying terminology, and including most of the material needed for a comprehensive exposition ... useful also as a handbook for self study ... extremely valuable as a reference text ... I strongly recommend this excellent book to anybody interested in interaction between theoretical computer science and mathematics.' ACM SIGACT News, 'This book has been written with the greatest care, in a clear and concise style. The authors have included a number of well-chosen examples which illustrate the general theory. Specialists would particularly appreciate the notes at the end of the chapter, recalling the main contributions and the history of the concepts that are discussed. They also provide a useful link with the impressive bibliography.' Semigroup Forum, 'The book is very well written, and contains a tremendous amount of information ... Advanced students and researchers will delight in reading Automatic Sequences.' Bulletin of the London Mathematical Society, 'The book will be of use for beginners as well as for advanced students and researchers.'EMS Newsletter, 'The book is very well written, and contains a tremendous amount of information … Advanced students and researchers will delight in reading Automatic Sequences.' Bulletin of the London Mathematical Society
Table of Content
Preface; 1. Stringology; 2. Number theory and algebra; 3. Numeration systems; 4. Finite automata and other models of computation; 5. Automatic sequences; 6. Uniform morphisms and automatic sequences; 7. Morphic sequences; 8. Frequency of letters; 9. Characteristic words; 10. Subwords; 11. Cobham's theorem; 12. Formal power series; 13. Automatic real numbers; 14. Multidimensional automatic sequences; 15. Automaticity; 16. k-regular sequences; 17. Physics; Appendix. Hints, references and solutions for selected exercises; Bibliography; Index.
Copyright Date
2003
Dewey Decimal
515/.24
Dewey Edition
21
Illustrated
Yes

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