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  3. Combinatorics on Words
  • Cited by 360
      • 2nd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      May 1997
      ISBN:
      9780511566097
      9780521599245
      DOI:
      https://doi.org/10.1017/CBO9780511566097
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.345kg, 260 Pages
      • Subjects:
      Mathematics (general), Mathematics, Computer Science, Discrete Mathematics Information Theory and Coding, Cryptography, Cryptology and Coding
      Series:
      Cambridge Mathematical Library
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    Subjects:
    Mathematics (general), Mathematics, Computer Science, Discrete Mathematics Information Theory and Coding, Cryptography, Cryptology and Coding
    Series:
    Cambridge Mathematical Library
    Information

    Book description

    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.

    Reviews

    ‘ … a thorough treatment of the theory of combinatorics.’

    Source: 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.'

    Source: EMS

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