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Vector Space and Linear Maps

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Classical Mechanics with Mathematica®

Abstract

In this chapter, the abstract definition of vector space, dimension of a vector space, bases, and contravariant components of a vector and their transformation properties are discussed. After giving some interesting examples of vector spaces, linear maps between vector spaces and their fundamental aspects are presented.

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Notes

  1. 1.

    The topics contained in Chapters 1–9 can also be found in [2, 5, 7–9, 11, 13, 14, 16–18, 21, 52]

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Correspondence to Antonio Romano .

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Romano, A., Marasco, A. (2018). Vector Space and Linear Maps. In: Classical Mechanics with Mathematica®. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-77595-1_1

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