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Field name	Details
Dewey Class	530.1
Title	Geometric Mechanics ([EBook] /) / by Waldyr Muniz Oliva.
Author	Muniz Oliva, Waldyr
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2002.
Physical Details	XII, 276 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1798
ISBN	9783540457954
Summary Note	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 note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b84214
Links to Related Works	Subject References: Dynamical systems and ergodic theory . Dynamics . Ergodic theory . Physics . Theoretical, Mathematical and Computational Physics . Authors: Muniz Oliva, Waldyr . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 530.1 .

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Geometric Mechanics

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