Abstract
In mechanics and physics one often deals with sets where in a neighbourhood of each point it is possible to use coordinates as in an ordinary vector space (e.g., the so-called generalized coordinates of mechanics) but a total coordinate system, applicable to all points, is absent. The notion of manifold is a mathematical formalization for such sets.
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© 1996 Springer Science+Business Media Dordrecht
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Gliklikh, Y.E. (1996). Elements of Coordinate — Free Differential Geometry. In: Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics. Mathematics and Its Applications, vol 374. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8634-4_1
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DOI: https://doi.org/10.1007/978-94-015-8634-4_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4731-1
Online ISBN: 978-94-015-8634-4
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