Combinatorics on Words by M Lothaire

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Combinatorics on Words by M Lothaire

Combinatorics on words, or finite sequences, is a field which grew simultaneously within disparate branches of mathematics such as group theory and probability. It has grown into an independent theory finding substantial applications in computer science automata theory and linguistics. This volume is the first to attempt to present a thorough treatment of this theory. All of the main results and techniques are covered. The presentation is accessible to undergraduate and graduate level students in mathematics and computer science as well as to specialists in all branches of applied mathematics. Topics discussed include: Thue's square free words, Van der Waerden's theorem, Ramsey's theorem; factorization of free monoids including application to free Lie algebras; equations in words, etc.
' … a thorough treatment of the theory of combinatorics' Monatshefte für Mathematik
'Since the first edition almost fifteen years ago, a new generation of young mathematicians has grown up on reading this book and solving the problems at the end of each chapter, thus deepening the understanding of the results read, analyzing special cases and proving additional results. Furthermore, this monograph is an excellent reference book for those working in this area of mathematics.' Acta Sci. Math.
'This is an excellent book, essential for anybody working in the field. Although written by several authors, who constitute the collective author M. Lothaire, the book makes a surprisingly compact impression. As already mentioned, it has all prerequisites for an important reference tool.' EMS
SKU Unavailable
ISBN 13 9780521599245
ISBN 10 0521599245
Title Combinatorics on Words
Author M Lothaire
Series Cambridge Mathematical Library
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 1997-05-29
Number of pages 260
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.