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.

Bibliographic Information

Book Title: Geometric Mechanics
Authors: Waldyr Muniz Oliva
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b84214
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
Softcover ISBN: 978-3-540-44242-4Published: 23 October 2002
eBook ISBN: 978-3-540-45795-4Published: 23 October 2004
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 276
Topics: Theoretical, Mathematical and Computational Physics, Dynamical Systems and Ergodic Theory

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