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Trends in Mathematics

Sequences, Groups, and Number Theory

Editors: Berthé, Valérie, Rigo, Michel (Eds.)

  • Discusses new research areas and results for sequences and number theory
  • Analyzes the relationship of sequence and group theory to theory of computation and applications of computer science
  • Describes combinatorics on words with a variety of theoretical approaches
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eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-69152-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-69151-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. 
This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.

About the authors

Valérie Berthé is a researcher at the Institut de Recherche en Informatique Fondamentale, which is a joint project between the Centre National del Recherche Scientifique and the University Paris-Diderot. 
Michel Rigo is a professor in the Unité de Mathématiques Discrétes at the Université de Liége.

Table of contents (11 chapters)

  • General Framework

    Berthé, Valérie (et al.)

    Pages 1-36

  • Number Theoretic Aspects of Regular Sequences

    Coons, Michael (et al.)

    Pages 37-87

  • First-Order Logic and Numeration Systems

    Charlier, Émilie

    Pages 89-141

  • Some Applications of Algebra to Automatic Sequences

    Bell, Jason

    Pages 143-175

  • Avoiding or Limiting Regularities in Words

    Ochem, Pascal (et al.)

    Pages 177-212

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-69152-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-69151-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Sequences, Groups, and Number Theory
Editors
  • Valérie Berthé
  • Michel Rigo
Series Title
Trends in Mathematics
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-69152-7
DOI
10.1007/978-3-319-69152-7
Hardcover ISBN
978-3-319-69151-0
Series ISSN
2297-0215
Edition Number
1
Number of Pages
XXVI, 578
Number of Illustrations
72 b/w illustrations, 15 illustrations in colour
Topics