Solvability of Equations in Clifford Algebras

Rysavy, Martin2017-11-272017-11-272016-10https://hdl.handle.net/11299/191227University of Minnesota M.S. thesis. October 2016. Major: Applied and Computational Mathematics. Advisor: Joseph Gallian. 1 computer file (PDF); vii, 71 pages.In this paper, we are studying selected types of quadratic equations in Clifford algebra, using methods developed for solving analogous equations in quaternions. Our goal is to classify the solutions in order to build a solid foundation for the study of Minkowski Pythagorean hodograph curves.enClifford algebrasMinkowski 3-spaceMPH curvesPH curvesQuaternionsSolvability of Equations in Clifford AlgebrasThesis or Dissertation