Abstract
The chapter introduces the notion of the finite-dimensional real vector space together with fundamental concepts like linear independence, vector space basis, and vector space dimension. The discussion of linear mappings between vector spaces prepares the ground for introducing the dual space and its basis. Finally, inner product space and reciprocal basis are contrasted with dual space and the corresponding dual basis.
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References
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Mühlich, U. (2017). The Finite-Dimensional Real Vector 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_3
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DOI: https://doi.org/10.1007/978-3-319-56264-3_3
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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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