Some translation surfaces in the E³ euclidean space

This thesis consist of five chapters.The first chapter has been devoted to the introduction.In the second chapter; fundamental definitions and theorems of space curves and surfaces are given.In the third chapter; the translation surfaces in 3-dimensional Euclidean space generated by curves have been investigated.In the fourth chapter; contain original part of our study translation surfaces has been constructed and some characterizations have been given according to Bishop frame.The sixth chapter has been devoted to the conclusion.Keywords: Translation surfaces, minimal surface, minimal translation surface, Gauss curvature, mean curvature, Scherk surface, Bishop frame.