Investigation of Bezier curve and surfaces in Minkowski space from computer aided geometric design elements

This work is composed of five chapters. The essential aim of the work is studied in the opening chapter, then it is followed by the historical developement and areasof usage. Bibliography summary is stated in the previous work's chapter. The main definition and theorem of Euclidean space, Minkowski and Bezier curves is mentioned in metarial management method chapter. In results we declare the original part of the work. In addition, we get the Serret-Frenet and Bishop frame in the beginning and the ending of Bezier curve in Euclidean space. Furthermore we study Serret-Frenet and Bishop frame of non-degenere Bezier curves in Minkowski space and give samples about the topic. Later we calculate the Gauss and mean curvature of non-degenere Bezier surfaces in a different way and find the shape operator of the surface in Minkowski space. In conclusion and recommendations chapter, we evaluate the work and give advices for the future studies.