東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Braids and dynamics

Thiffeault, Jean-Luc.

Linked to FindBook

Google Book

Amazon

博客來

Braids and dynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Braids and dynamics/ by Jean-Luc Thiffeault.
Author:	Thiffeault, Jean-Luc.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xv, 141 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Topological dynamics on the torus -- Stretching with three rods -- Braids -- The Thurston-Nielsen classification -- Topological entropy -- Train tracks -- Dynnikov coordinates -- The braidlab library -- Braids and data analysis -- References -- Appendix: Derivation of Dynnikov update rules.
Contained By:	Springer Nature eBook
Subject:	Braid theory. -
Online resource:	https://doi.org/10.1007/978-3-031-04790-9
ISBN:	9783031047909

Braids and dynamics
Thiffeault, Jean-Luc.

Braids and dynamics[electronic resource] /by Jean-Luc Thiffeault. - Cham :Springer International Publishing :2022. - xv, 141 p. :ill., digital ;24 cm. - Frontiers in applied dynamical systems: reviews and tutorials,v. 92364-4931 ;. - Frontiers in applied dynamical systems: reviews and tutorials ;v. 9..

Introduction -- Topological dynamics on the torus -- Stretching with three rods -- Braids -- The Thurston-Nielsen classification -- Topological entropy -- Train tracks -- Dynnikov coordinates -- The braidlab library -- Braids and data analysis -- References -- Appendix: Derivation of Dynnikov update rules.

This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its final chapters also briefly discuss current applications in the emerging field of analyzing braids created from trajectory data. While written with beginning graduate students, advanced undergraduates, or practicing applied mathematicians in mind, the book is also suitable for pure mathematicians seeking real-world examples. Readers can benefit from some knowledge of homotopy and homology groups, but these concepts are briefly reviewed. Some familiarity with Matlab is also helpful for the computational examples.

ISBN: 9783031047909

Standard No.: 10.1007/978-3-031-04790-9doiSubjects--Topical Terms:

672437
Braid theory.

LC Class. No.: QA612.23 / .T45 2022

Dewey Class. No.: 514.22

Braids and dynamics
LDR:02116nmm a2200337 a 4500 001 2304246
003 DE-He213
005 20220905181034.0
006 m d
007 cr nn 008maaau
008 230409s2022 sz s 0 eng d
020 $a 9783031047909 $q (electronic bk.)
020 $a 9783031047893 $q (paper)
024 7 $a 10.1007/978-3-031-04790-9 $2 doi
035 $a 978-3-031-04790-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA612.23 $b .T45 2022
072 7 $a GPFC $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 514.22 $2 23
090 $a QA612.23 $b .T439 2022
100 1 $a Thiffeault, Jean-Luc. $3 3606324
245 1 0 $a Braids and dynamics $h [electronic resource] / $c by Jean-Luc Thiffeault.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xv, 141 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in applied dynamical systems: reviews and tutorials, $x 2364-4931 ; $v v. 9
505 0 $a Introduction -- Topological dynamics on the torus -- Stretching with three rods -- Braids -- The Thurston-Nielsen classification -- Topological entropy -- Train tracks -- Dynnikov coordinates -- The braidlab library -- Braids and data analysis -- References -- Appendix: Derivation of Dynnikov update rules.
520 $a This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. In addition, its final chapters also briefly discuss current applications in the emerging field of analyzing braids created from trajectory data. While written with beginning graduate students, advanced undergraduates, or practicing applied mathematicians in mind, the book is also suitable for pure mathematicians seeking real-world examples. Readers can benefit from some knowledge of homotopy and homology groups, but these concepts are briefly reviewed. Some familiarity with Matlab is also helpful for the computational examples.
650 0 $a Braid theory. $3 672437
650 0 $a Fluid dynamics. $3 545210
650 1 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Topology. $3 522026
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Frontiers in applied dynamical systems: reviews and tutorials ; $v v. 9. $3 3606325
856 4 0 $u https://doi.org/10.1007/978-3-031-04790-9
950 $a Mathematics and Statistics (SpringerNature-11649)