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Braids and Dynamics

E-BookPDF1 - PDF WatermarkE-Book
141 Seiten
Englisch
Springer Nature Switzerlanderschienen am05.09.20221st ed. 2022
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.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR53,49
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextThis 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.
Details
Weitere ISBN/GTIN9783031047909
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2022
Erscheinungsdatum05.09.2022
Auflage1st ed. 2022
ReiheFrontiers in Applied Dynamical Systems: Reviews and Tutorials
Reihen-Nr.9
Seiten141 Seiten
SpracheEnglisch
Dateigrösse5305 Kbytes
IllustrationenXV, 141 p. 71 illus., 37 illus. in color.
Artikel-Nr.9069017
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr