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2017 | OriginalPaper | Chapter

5. Affine Space and Euclidean Space

Author : Uwe Mühlich

Published in: Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

Publisher: Springer International Publishing

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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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previous chapter Tensor Algebra
next chapter Tensor Analysis in Euclidean Space
Literature
1.
Crampin M, Pirani F (1987) Applicable differential geometry, vol 58. London mathematical society lecture note series. Cambridge University Press, Cambridge
2.
Epstein M (2010) The geometrical language of continuum mechanics. Cambridge University Press, Cambridge
Metadata
Title
Affine Space and Euclidean Space
Author
Uwe Mühlich
Copyright Year
2017
Book
Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

Print ISBN: 978-3-319-56263-6

Electronic ISBN: 978-3-319-56264-3

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-56264-3_5

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