Theory of Fractal and its Applications

Fractal theory is a branch of nonlinear science and an important means for science research.This paper introduces the basic concept and several calculating methods of fractal dimension as a main parameter of fractal theory.Primarily,it is summarized that fractal theory have been used in various fields from nature science to social science such as engineering,physics,chemistry,biomedicine,material science,astronomy and geography,economy and management,computer graphics,etc.In the end,the foreground and developmental orientation of fractal theory is prospected,and problems in face of fractal theory is advanced.