Affine Euclidean Space \(\mathbb{A}\mathbb{R}^{n}\)

Part of the Universitext book series (UTX)

Since we develop a geometric approach to reflection groups, we have to use some geometry.

This chapter provides only a very sketchy description of affine geometry and can be skipped if the reader is familiar with this standard topic of linear algebra; otherwise, it would make a good exercise to reconstruct the proofs that are only outlined in our text. Notice that the chapter contains nothing new in comparison with most standard courses on linear algebra. Also, if the reader benefited from a traditional course in analytic geometry, he or she should find the material very familiar: we simply transfer to n dimensions familiar concepts of three-dimensional geometry.


Vector Subspace Real Vector Space Simultaneous Linear Equation Euclidean Vector Space Standard Topic 
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© Springer Science+Business Media, LLC 2010

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