國立高雄大學圖資館 |

Language: English

Back

Sequences, groups, and number theory

Berthe, Valerie.

Sequences, groups, and number theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Sequences, groups, and number theoryedited by Valerie Berthe, Michel Rigo.
other author:	Berthe, Valerie.
Published:	Cham :Springer International Publishing :2018.
Description:	xxvi, 578 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Number theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-69152-7
ISBN:	9783319691527$q(electronic bk.)

Sequences, groups, and number theory
Sequences, groups, and number theory[electronic resource] /edited by Valerie Berthe, Michel Rigo. - Cham :Springer International Publishing :2018. - xxvi, 578 p. :ill., digital ;24 cm. - Trends in mathematics,2297-0215. - Trends in mathematics..

General Framework -- Number Theoretic Aspects of Regular Sequences -- First-order Logic and Numeration System -- Some Applications of Algebra to Automatic Sequences -- Avoiding or Limiting Regularities in Words -- Coloring Problems for Infinite Words -- Normal Numbers and Computer Science -- Normal Numbers and Symbolic Dynamics -- About the Domino Problem for Subshifts on Groups -- Automation (Semi)Groups: Wang Tilings and Schreier Tries -- Amenability of Groups and G-Sets -- Index -- References.

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.

ISBN: 9783319691527$q(electronic bk.)

Standard No.: 10.1007/978-3-319-69152-7doiSubjects--Topical Terms:

189521
Number theory.

LC Class. No.: QA241 / .S478 2018

Dewey Class. No.: 512.7

Sequences, groups, and number theory
LDR:02489nmm a2200325 a 4500 001 533953
003 DE-He213
005 20181011114708.0
006 m d
007 cr nn 008maaau
008 181205s2018 gw s 0 eng d
020 $a 9783319691527$q(electronic bk.)
020 $a 9783319691510$q(paper)
024 7 $a 10.1007/978-3-319-69152-7 $2 doi
035 $a 978-3-319-69152-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA241 $b .S478 2018
072 7 $a PBV $2 bicssc
072 7 $a MAT036000 $2 bisacsh
082 0 4 $a 512.7 $2 23
090 $a QA241 $b .S479 2018
245 0 0 $a Sequences, groups, and number theory $h [electronic resource] / $c edited by Valerie Berthe, Michel Rigo.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2018.
300 $a xxvi, 578 p. : $b ill., digital ; $c 24 cm.
490 1 $a Trends in mathematics, $x 2297-0215
505 0 $a General Framework -- Number Theoretic Aspects of Regular Sequences -- First-order Logic and Numeration System -- Some Applications of Algebra to Automatic Sequences -- Avoiding or Limiting Regularities in Words -- Coloring Problems for Infinite Words -- Normal Numbers and Computer Science -- Normal Numbers and Symbolic Dynamics -- About the Domino Problem for Subshifts on Groups -- Automation (Semi)Groups: Wang Tilings and Schreier Tries -- Amenability of Groups and G-Sets -- Index -- References.
520 $a 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.
650 0 $a Number theory. $3 189521
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Combinatorics. $3 274788
650 2 4 $a Group Theory and Generalizations. $3 274819
650 2 4 $a Number Theory. $3 274059
650 2 4 $a Discrete Mathematics in Computer Science. $3 274791
700 1 $a Berthe, Valerie. $3 470061
700 1 $a Rigo, Michel. $3 669048
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Trends in mathematics. $3 573146
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-69152-7
950 $a Mathematics and Statistics (Springer-11649)