M.Sc. Tezi Görüntüleme

Student: Muharrem TOMAR
Supervisor: Prof. Dr. Ömer PEKŞEN
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University Turkey
Title of the Thesis: Dual Numbers and the Application of Dual Numbers to the 2-Dimensional Geometry
Level: M.Sc.
Acceptance Date: 13/2/2012
Number of Pages: 67
Registration Number: i2434
Summary:

       In this thesis and groups of the ring of dual numbers have been defined and investigated. The problem of equivalence of points for the group have been solved in terms of invariant of points. Invariant theory methods have been used to find the invariants. By using these methods orbit of group have been found. In this thesis, two dimensional matrix groups and have been defined. It has been shown that groups are isomorphic to groups , respectively. The problem of equivalence of points for the group has also been solved.

      Key Words: Dual Number, Invariant.