3 options
Geometric Mechanics / by Waldyr Muniz Oliva.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Muniz Oliva, Waldyr, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1798.
- Lecture Notes in Mathematics, 0075-8434 ; 1798
- Language:
- English
- Subjects (All):
- Differentiable dynamical systems.
- Theoretical, Mathematical and Computational Physics.
- Dynamical Systems and Ergodic Theory.
- Local Subjects:
- Theoretical, Mathematical and Computational Physics.
- Dynamical Systems and Ergodic Theory.
- Physical Description:
- 1 online resource (XII, 276 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
- System Details:
- text file PDF
- Summary:
- 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.
- 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: Möbius transformations and the Lorentz group
- Appendix C: Quasi-Maxwell equations
- Appendix D: Viscosity solutions and Aubry-Mather theory.
- Other Format:
- Printed edition:
- ISBN:
- 9783540457954
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.