Study on the Thought and the Significance of Gauss' Geometry

The thought of Gauss' geometry is intended to reveal that the Euclidean geometry does not have the only physics necessity.Gauss' intrinsic differential geometry,however,has deeply revealed the Non-Euclidean nature of geometry spaces.This paper studies on the discovery of the core concepts and its far-reaching significance of the thought of Gauss' geometry.The thinking path of Gauss' geometry is reconstructed historically,and the relations between Gauss' geometry and modern differential geometry are discussed.