Geometric mechanics
Author(s)
Bibliographic Information
Geometric mechanics
（Lecture notes in mathematics, 1798）
Springer, c2002
Available at / 73 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||179878800546
-
INTERNATIONAL CHRISTIAN UNIVERSITY LIBRARY図
V.1798410.8/L507/v.179805921238,
410.8/L507/v.179805921238 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:531/OL42070576496
-
No Libraries matched.
- Remove all filters.
Note
Bibliography: p. [259]-261
Includes index
Description and Table of Contents
Description
Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems. The first seven chapters are written in the spirit of Newtonian Mechanics while the last two ones as well as two of the four appendices describe the foundations and some aspects of Special and General Relativity. All the material has a coordinate free presentation but, for the sake of motivation, many examples and exercises are included in order to exhibit the desirable flavor of physical applications.
Table of Contents
Introduction.- Differentiable manifolds.- Vector fields, differential forms and tensor fields.- Pseudo-riemannian manifolds.- Newtonian mechanics.- Mechanical systems on riemannian manifolds.- Mechanical Systems with non-holonomic constraints.- Hyperbolicity and Anosov systems.- Vakonomic mechanics.- Special relativity.- General relativity.- Appendix A: Hamiltonian and Lagrangian formalism.- Appendix B: Moebius transformations and the Lorentz group.- Appendix C: Quasi-Maxwell equations.- Appendix D: Viscosity solutions and Aubry-Mather theory.
by "Nielsen BookData"