Abstract
Affine and euclidean space are discussed primarily in view of their use as models for physical space. Affine mappings and coordinate charts generated by them are examined. Furthermore, topological aspects are addressed.
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References
Crampin M, Pirani F (1987) Applicable differential geometry, vol 58. London mathematical society lecture note series. Cambridge University Press, Cambridge
Epstein M (2010) The geometrical language of continuum mechanics. Cambridge University Press, Cambridge
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Mühlich, U. (2017). Affine Space and Euclidean Space. In: Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds. Solid Mechanics and Its Applications, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-319-56264-3_5
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DOI: https://doi.org/10.1007/978-3-319-56264-3_5
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-56263-6
Online ISBN: 978-3-319-56264-3
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