Inematics applications of hyper dual matrices ineuclidean and lorentzian spaces

This thesis consists of five main parts. The first chapter was organized as an introductary part, where the concepts of dual numbers, hyper-dual numbers, kinematics and dual transformations are mentioned and the studies on these topics are mentioned. In the second chapter, the basic definitions and theorems used in this thesis are presented. In the third chapter, with the help of hyper dual matrices and dual transformation, motions in Euclidean space and Lorentz space are discussed. Axes that remain fixed in both spaces are studied. In the fourth chapter, kinematic applications of the motions given in the third chapter with the help of hyper dual matrices in Euclidean space and Lorentz space are given. The last chapter is organized as the conclusion and recommendations part of the thesis. Keywords: Hyper Dual Number, Hyper Dual Matrix, Dual Transformation, Lorentzian Space.