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
Global Formulations of Lagrangian an...
~
Lee, Taeyoung.
Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds = A Geometric Approach to Modeling and Analysis /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds/ by Taeyoung Lee, Melvin Leok, N. Harris McClamroch.
其他題名:
A Geometric Approach to Modeling and Analysis /
作者:
Lee, Taeyoung.
其他作者:
Leok, Melvin.
面頁冊數:
XXVII, 539 p. 49 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Dynamics. -
電子資源:
https://doi.org/10.1007/978-3-319-56953-6
ISBN:
9783319569536
Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds = A Geometric Approach to Modeling and Analysis /
Lee, Taeyoung.
Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds
A Geometric Approach to Modeling and Analysis /[electronic resource] :by Taeyoung Lee, Melvin Leok, N. Harris McClamroch. - 1st ed. 2018. - XXVII, 539 p. 49 illus.online resource. - Interaction of Mechanics and Mathematics,1860-6245. - Interaction of Mechanics and Mathematics,.
Mathematical Background -- Kinematics -- Classical Lagrangian and Hamiltonian Dynamics -- Langrangian and Hamiltonian Dynamics on (S1)n -- Lagrangian and Hamiltonian Dynamics on (S2)n -- Lagrangian and Hamiltonian Dynamics on SO(3) -- Lagrangian and Hamiltonian Dynamics on SE(3) -- Lagrangian and Hamiltonian Dynamics on Manifolds -- Rigid and Mult-body Systems -- Deformable Multi-body Systems -- Fundamental Lemmas of the Calculus of Variations -- Linearization as an Approximation to Lagrangian Dynamics on a Manifold.
This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.
ISBN: 9783319569536
Standard No.: 10.1007/978-3-319-56953-6doiSubjects--Topical Terms:
592238
Dynamics.
LC Class. No.: QA313
Dewey Class. No.: 515.39
Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds = A Geometric Approach to Modeling and Analysis /
LDR
:03388nam a22004095i 4500
001
999015
003
DE-He213
005
20200704115044.0
007
cr nn 008mamaa
008
201225s2018 gw | s |||| 0|eng d
020
$a
9783319569536
$9
978-3-319-56953-6
024
7
$a
10.1007/978-3-319-56953-6
$2
doi
035
$a
978-3-319-56953-6
050
4
$a
QA313
072
7
$a
PBWR
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBWR
$2
thema
082
0 4
$a
515.39
$2
23
082
0 4
$a
515.48
$2
23
100
1
$a
Lee, Taeyoung.
$e
author.
$0
(orcid)0000-0003-4982-4150
$1
https://orcid.org/0000-0003-4982-4150
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1290564
245
1 0
$a
Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds
$h
[electronic resource] :
$b
A Geometric Approach to Modeling and Analysis /
$c
by Taeyoung Lee, Melvin Leok, N. Harris McClamroch.
250
$a
1st ed. 2018.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2018.
300
$a
XXVII, 539 p. 49 illus.
$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
Interaction of Mechanics and Mathematics,
$x
1860-6245
505
0
$a
Mathematical Background -- Kinematics -- Classical Lagrangian and Hamiltonian Dynamics -- Langrangian and Hamiltonian Dynamics on (S1)n -- Lagrangian and Hamiltonian Dynamics on (S2)n -- Lagrangian and Hamiltonian Dynamics on SO(3) -- Lagrangian and Hamiltonian Dynamics on SE(3) -- Lagrangian and Hamiltonian Dynamics on Manifolds -- Rigid and Mult-body Systems -- Deformable Multi-body Systems -- Fundamental Lemmas of the Calculus of Variations -- Linearization as an Approximation to Lagrangian Dynamics on a Manifold.
520
$a
This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold. In particular, we introduce a general methodology for obtaining globally valid equations of motion on configuration manifolds that are Lie groups, homogeneous spaces, and embedded manifolds, thereby avoiding the difficulties associated with coordinate singularities. The material is presented in an approachable fashion by considering concrete configuration manifolds of increasing complexity, which then motivates and naturally leads to the more general formulation that follows. Understanding of the material is enhanced by numerous in-depth examples throughout the book, culminating in non-trivial applications involving multi-body systems. This book is written for a general audience of mathematicians, engineers, and physicists with a basic knowledge of mechanics. Some basic background in differential geometry is helpful, but not essential, as the relevant concepts are introduced in the book, thereby making the material accessible to a broad audience, and suitable for either self-study or as the basis for a graduate course in applied mathematics, engineering, or physics.
650
0
$a
Dynamics.
$3
592238
650
0
$a
Ergodic theory.
$3
672355
650
0
$a
Vibration.
$3
595749
650
0
$a
Dynamical systems.
$3
1249739
650
0
$a
System theory.
$3
566168
650
0
$a
Computer mathematics.
$3
1199796
650
1 4
$a
Dynamical Systems and Ergodic Theory.
$3
671353
650
2 4
$a
Vibration, Dynamical Systems, Control.
$3
670825
650
2 4
$a
Systems Theory, Control.
$3
669337
650
2 4
$a
Computational Mathematics and Numerical Analysis.
$3
669338
700
1
$a
Leok, Melvin.
$e
author.
$1
https://orcid.org/0000-0002-8326-0830
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1290565
700
1
$a
McClamroch, N. Harris.
$e
author.
$1
https://orcid.org/0000-0002-7536-5659
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1290566
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783319569512
776
0 8
$i
Printed edition:
$z
9783319569529
830
0
$a
Interaction of Mechanics and Mathematics,
$x
1860-6245
$3
1268837
856
4 0
$u
https://doi.org/10.1007/978-3-319-56953-6
912
$a
ZDB-2-ENG
912
$a
ZDB-2-SXE
950
$a
Engineering (SpringerNature-11647)
950
$a
Engineering (R0) (SpringerNature-43712)
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