Geometric Mechanics - Waldyr Muniz Oliva

Geometric Mechanics

Buch | Softcover
XII, 276 Seiten
2002 | 2002
Springer Berlin (Verlag)
978-3-540-44242-4 (ISBN)
53,49 inkl. MwSt
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.

- 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: Möbius transformations and the Lorentz group
- Appendix C: Quasi-Maxwell equations
- Appendix D: Viscosity solutions and Aubry-Mather theory.

Erscheint lt. Verlag 23.10.2002
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo XII, 276 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 434 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Dynamical Systems • General relativity • Geometric Mechanics • holonomic and non-holonomic systems • manifold • Mechanik • Special relativity
ISBN-10 3-540-44242-1 / 3540442421
ISBN-13 978-3-540-44242-4 / 9783540442424
Zustand Neuware
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