Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds (Record no. 80400)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04551nam a22006135i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-56953-6 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801222112.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 170814s2018 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319569536 |
| -- | 978-3-319-56953-6 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 515.39 |
| 100 1# - AUTHOR NAME | |
| Author | Lee, Taeyoung. |
| 245 10 - TITLE STATEMENT | |
| Title | Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds |
| Sub Title | A Geometric Approach to Modeling and Analysis / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XXVII, 539 p. 49 illus. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Interaction of Mechanics and Mathematics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | 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 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Leok, Melvin. |
| 700 1# - AUTHOR 2 | |
| Author 2 | McClamroch, N. Harris. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-319-56953-6 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 100 1# - AUTHOR NAME | |
| -- | (orcid)0000-0003-4982-4150 |
| -- | https://orcid.org/0000-0003-4982-4150 |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2018. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Dynamical systems. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Multibody systems. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Vibration. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mechanics, Applied. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | System theory. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Control theory. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematics—Data processing. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Dynamical Systems. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Multibody Systems and Mechanical Vibrations. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Systems Theory, Control . |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Computational Mathematics and Numerical Analysis. |
| 700 1# - AUTHOR 2 | |
| -- | (orcid)0000-0002-8326-0830 |
| -- | https://orcid.org/0000-0002-8326-0830 |
| 700 1# - AUTHOR 2 | |
| -- | (orcid)0000-0002-7536-5659 |
| -- | https://orcid.org/0000-0002-7536-5659 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 1860-6253 |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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