C.F. F.Gauss, a famous German mathematician, physicist, astronomer and geodetic scientist, is known as the "prince of mathematics". He is an outstanding representative in the turning period of the history of mathematics, and plays a connecting role. He emphasized that mathematics, as a rigorous science, must pursue clear definitions, clear assumptions, strict proofs and systematization of results, and advocated the continuation of the modern mathematics tradition for nearly 200 years. His research fields are extensive, including number theory, algebra, geometry, analysis and so on, which have had a far-reaching impact on the development of mathematics.