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ACCEPTABLE. While not all that follows will be present, you may find slight bends, creases or curls on cover, along with possible stickers/sticker residue. Spine wear may be present, as well as staining on outside edges of book. Interior pages may have light highlighting or markings, and pages may have folds. A written name somewhere by previous owner is not uncommon. Ships Monday through Friday from Ohio via USPS. Our mission is to help individuals prepare for, find and retain employment. ACCEPTABLE. While not all that follows will be present, you may find slight bends, creases or curls on cover, along with possible stickers/sticker residue. Spine wear may be present, as well as staining on outside edges of book. Interior pages may have light highlighting or markings, and pages may have folds. A written name somewhere by previous owner is not uncommon. Ships Monday through Friday from Ohio via USPS. Our mission is to help individuals prepare for, find and retain employment. See less
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Automatic Sequences: Theory, Applications, Generalizations 1st Edition

4.6 4.6 out of 5 stars 6 ratings

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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.

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Editorial Reviews

Review

"[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

"Every serious sequence lover will want to own a copy!"
Neil Sloane, AT&T Research

"...this book will soon become the Bible on the subject..."
Jia-Yan Yao, Wuhan University

"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

"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

Book Description

This book is the first integrated treatment of sequences generated by finite automata and their generalizations.

Product details

  • Publisher ‏ : ‎ Cambridge University Press; 1st edition (July 21, 2003)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 588 pages
  • ISBN-10 ‏ : ‎ 0521823323
  • ISBN-13 ‏ : ‎ 978-0521823326
  • Item Weight ‏ : ‎ 2.55 pounds
  • Dimensions ‏ : ‎ 7.5 x 1.5 x 10.25 inches
  • Customer Reviews:
    4.6 4.6 out of 5 stars 6 ratings

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Customer reviews

4.6 out of 5 stars
4.6 out of 5
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6 global ratings

Top reviews from the United States

Reviewed in the United States on February 20, 2012
I was happy to find a reasonably priced copy of this book. It is on nice paper and has a sturdy hard cover. I have had this in and out of a few different style bags and it fits in all of the bags very well. It has stayed relatively undamaged despite me using it hard. Also the content is very well organized and thoroughly explained.
Reviewed in the United States on August 29, 2011
I am enjoying this book immensely. It fills a real need in the literature of automatic sequences. The references and end notes at each chapter conclusion are very useful. Basically this book brings together a lot of disparate ideas and forms them into a coherent and well laid out presentation. My only reservation with the book is that there are minor errors with some of the proofs that can be annoying (but easily fixable). The style is accessible, the ideas are fast moving and the comprehensiveness of ideas and references is inspirational. Definitely worth purchasing.
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Reviewed in the United States on March 24, 2004
In 1983 Lothaire's "Combinatorics on Words" became the definitive resource on the area of stringology. 20 years later, Jean-Paul Allouche and Jeffrey Shallit's "Automatic Sequences" is set to be its heir. Pulling in countless concepts from many seemingly dissimilar disciplines, Allouche and Shallit are successful in bringing them together in an extremely informative and concise way. With detailed chapter notes and an immense bibliography the possible areas of exploration on each topic prove endless. A great resource for everyone from the serious researcher to the casually interested, this text is applicable to almost every area of mathematics and computer science. As the authors put it, "Sequences, both finite and infinite are ubiquitous in mathematics and theoretical computer science." If quality were synonymous popularity then this book will be equally ubiquitous.
13 people found this helpful
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