語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Braids and Dynamics
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Braids and Dynamics/ by Jean-Luc Thiffeault.
作者:
Thiffeault, Jean-Luc.
面頁冊數:
XV, 141 p. 71 illus., 37 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Dynamical Systems. -
電子資源:
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. - 1st ed. 2022. - XV, 141 p. 71 illus., 37 illus. in color.online resource. - Frontiers in Applied Dynamical Systems: Reviews and Tutorials,92364-4931 ;. - Frontiers in Applied Dynamical Systems: Reviews and Tutorials,1.
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:
1366074
Dynamical Systems.
LC Class. No.: QA843-871
Dewey Class. No.: 515.39
Braids and Dynamics
LDR
:02443nam a22003975i 4500
001
1082850
003
DE-He213
005
20220905181034.0
007
cr nn 008mamaa
008
221228s2022 sz | s |||| 0|eng d
020
$a
9783031047909
$9
978-3-031-04790-9
024
7
$a
10.1007/978-3-031-04790-9
$2
doi
035
$a
978-3-031-04790-9
050
4
$a
QA843-871
072
7
$a
GPFC
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
GPFC
$2
thema
082
0 4
$a
515.39
$2
23
100
1
$a
Thiffeault, Jean-Luc.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1388677
245
1 0
$a
Braids and Dynamics
$h
[electronic resource] /
$c
by Jean-Luc Thiffeault.
250
$a
1st ed. 2022.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2022.
300
$a
XV, 141 p. 71 illus., 37 illus. in color.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Frontiers in Applied Dynamical Systems: Reviews and Tutorials,
$x
2364-4931 ;
$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
1 4
$a
Dynamical Systems.
$3
1366074
650
0
$a
Topology.
$3
633483
650
0
$a
Dynamical systems.
$3
1249739
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783031047893
776
0 8
$i
Printed edition:
$z
9783031047916
830
0
$a
Frontiers in Applied Dynamical Systems: Reviews and Tutorials,
$x
2364-4532 ;
$v
1
$3
1258941
856
4 0
$u
https://doi.org/10.1007/978-3-031-04790-9
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入