Henneberg minimal surface in three dimensional minkowski space

Some definitions and the history of the Henneberg surface are given in Chapter 1. In Chapter 2, Henneberg surface is considered by means of the parameters and using Weierstrass representation. Then integral free form of Weierstrass' and algebraic function of Henneberg surface are obtained. Algebraic equation of Henneberg surface by means of , , cartesian coordinates is revealed and its degree is found using software programmes. In addition, similarly, algebraic equation of Henneberg surface by means of , , inhomogeneous tangential coordinates is revealed and its class (order) is found. Finally, in Chapter 3, Henneberg surface is considered as spacelike maximal and timelike minimal surfaces in Minkowski 3-space using similar techniques in the previous chapter. Key Words Henneberg surface, spacelike maximal surface, timelike minimal surface, mean curvature, Gauss map.