Titlebook: Affine Maps, Euclidean Motions and Quadrics; Agustí Reventós Tarrida Textbook 2011 Springer-Verlag London Limited 2011 affine geometry.bil

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Eco-Efficiency in Industry and ScienceIn this chapter we study Euclidean motions in dimension 1, 2 and 3. For instance, in dimension three there are only three types of Euclidean motions: . (that include rotations, translations and the identity), . (that include mirror symmetries) and ...The subsections are

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Euclidean Affine Spaces,In this chapter we consider affine spaces on which a distance has been defined. Thus we have a model of classical Euclidean Geometry, where, for instance, Pythagoras’ Theorem works well. We give a short method to compute the distance between two varieties of arbitrary dimension..The subsections are

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Agustí Reventós TarridaThorough treatment of affine geometry and quadrics.A useful resource for lecturers in linear algebra and geometry.Provides an high level of detail and generality that is unmatched by other texts avail

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Jörg E. U. Schmidt,Claus-Heinrich Daubind it in specialist literature. We prove essentially the same result that in the above chapter: Two affine maps are similar if and only if the corresponding linear part are similar and the corresponding invariance level are equal..The subsections are