Introduction to Geometric Algebra, a powerful tool for mathematics and physics
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In this thesis an introduction to geometric or Clifford algebra is given, with an emphasis on the geometric aspects of this algebra. The aim is to show that this algebra is a powerful tool for both mathematics and physics and results in compact, coordinate free expressions. The main focus will be on Euclidean spaces of 2 and 3 dimensions, but it will be shown that it is possible to extend the results to higher dimensions. Finally a start will be made to further extend to more general algebras with non-degenerate bilinear forms with a mixed signature.