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Algebraic Combinatorics on Words [Minkštas viršelis]

  • Formatas: Paperback / softback, 520 pages, aukštis x plotis x storis: 244x170x27 mm, weight: 820 g, Worked examples or Exercises
  • Serija: Encyclopedia of Mathematics and its Applications
  • Išleidimo metai: 02-Jun-2011
  • Leidėjas: Cambridge University Press
  • ISBN-10: 0521180716
  • ISBN-13: 9780521180719
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 520 pages, aukštis x plotis x storis: 244x170x27 mm, weight: 820 g, Worked examples or Exercises
  • Serija: Encyclopedia of Mathematics and its Applications
  • Išleidimo metai: 02-Jun-2011
  • Leidėjas: Cambridge University Press
  • ISBN-10: 0521180716
  • ISBN-13: 9780521180719
Kitos knygos pagal šią temą:
Combinatorics on words has arisen independently within several branches of mathematics and appears frequently in problems of theoretical computer science. This subject has developed significantly since the publication of Lothaire's first book, Combinatorics on Words. The authors now aim to present several more topics as well as giving deeper insights into subjects that were discussed in the previous volume. With background material, full proofs whenever possible, and a discussion of further developments, this book is both a comprehensive introduction to the subject and a valuable reference source for researchers.

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 Combinatorics on Words. Since its publication, the area has developed and the authors now aim to present several more topics as well as giving deeper insights into subjects that were 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.

Recenzijos

Review of the hardback: 'This book will certainly become a reference book and have the same impact as the first book of Lotahire: essentially self-contained, with many exercise and interesting notes, not mentioning a bibliography with more than 450 items.' Jean-Paul Allouche, Zentrallblatt MATH Review of the hardback: ' an indispensable reference ' Mathematika

Daugiau informacijos

Comprehensive 2002 introduction to combinatorics on words for mathematicians and theoretical computer scientists.
1. Finite and infinite words J. Berstel and D. Perrin;
2. Sturmian words
J. Berstel and P. Séébold;
3. Unavoidable patterns J. Cassaigne;
4.
Sesquipowers A. De Luca and S. Varricchio;
5. The plactic monoid A. Lascoux,
B. Leclerc and J.-Y. Thibon;
6. Codes V. Bruyčre;
7. Numeration systems C.
Frougny;
8. Periodicity F. Mignosi and A. Restivo;
9. Centralisers of
noncommutative series and polynomials C. Reutenauer;
10. Transformations on
words and q-calculus D. Foata and G.-N. Han;
11. Statistics on permutations
and words J. Désarménien;
12. Makanin's algorithm V. Diekert;
13. Independent
systems of equations T. Harju, J. Karhumäki and W. Plandowski.