| 书目名称 | Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds |
| 副标题 | A Geometric Approach |
| 编辑 | Taeyoung Lee,Melvin Leok,N. Harris McClamroch |
| 视频video | |
| 概述 | Accessible to a broad audience of scientists and engineers.Non-trivial applications worked out in detail, allowing reader to easily apply techniques to real-world problems.Includes exercises at the en |
| 丛书名称 | Interaction of Mechanics and Mathematics |
| 图书封面 |  |
| 描述 | .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 concept |
| 出版日期 | Textbook 2018 |
| 关键词 | Geometric Mechanics; Lagrangian Systems; Hamiltonian Systems; Manifold; Lie Groups; Dynamics; Mechanics; Mu |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-56953-6 |
| isbn_softcover | 978-3-319-56951-2 |
| isbn_ebook | 978-3-319-56953-6Series ISSN 1860-6245 Series E-ISSN 1860-6253 |
| issn_series | 1860-6245 |
| copyright | Springer International Publishing AG 2018 |
发表于 2025-3-21 18:50:58
