Algebraic Combinatorics on Words
eBook - PDF

Algebraic Combinatorics on Words

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Algebraic Combinatorics on Words

About this book

Combinatorics on words has arisen independently within several branches of mathematics, for instance number theory, group theory and probability, and appears frequently in problems related to theoretical computer science. The first unified treatment of the area was given in Lothaire's book Combinatorics on Words. Originally published in 2002, this book presents several more topics and provides deeper insights into subjects discussed in the previous volume. An introductory chapter provides the reader with all the necessary background material. There are numerous examples, full proofs whenever possible and a notes section discussing further developments in the area. This book is both a comprehensive introduction to the subject and a valuable reference source for researchers.

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Yes, you can access Algebraic Combinatorics on Words by M. Lothaire in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title
  5. Copyright
  6. Contents
  7. Preface
  8. CHAPTER 1 Finite and Infinite Words
  9. CHAPTER 2 Sturmian Words
  10. CHAPTER 3 Unavoidable Patterns
  11. CHAPTER 4 Sesquipowers
  12. CHAPTER 5 The Plactic Monoid
  13. CHAPTER 6 Codes
  14. CHAPTER 7 Numeration Systems
  15. CHAPTER 8 Periodicity
  16. CHAPTER 9 Centralizers of Noncommutative Series and Polynomials
  17. CHAPTER 10 Transformations on Words and q-Calculus
  18. CHAPTER 11 Statistics on Permutations and Words
  19. CHAPTER 12 Makanin's Algorithm
  20. CHAPTER 13 Independent Systems of Equations
  21. References
  22. Index of Notation
  23. General Index