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OverviewGeometric 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. Full Product DetailsAuthor: Waldyr Muniz OlivaPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2002 ed. Volume: 1798 Dimensions: Width: 15.50cm , Height: 1.50cm , Length: 23.50cm Weight: 0.910kg ISBN: 9783540442424ISBN 10: 3540442421 Pages: 276 Publication Date: 23 October 2002 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of ContentsIntroduction.- 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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