Gauss initiated the initial era of Gottingen's school of mathematics, and he raised modern mathematics to a new level. Riemann, Dirichlet and jacoby inherited the work of Gauss and made contributions in the fields of algebra, geometry, number theory and analysis. Klein and Hilbert brought the German school of mathematics into its heyday, and the University of G? ttingen became an international mathematical research and education center.

The achievements of Gottingen School in mathematics have had a far-reaching impact on the development of mathematics in the world. There are profound social reasons why this school can achieve such achievements. First of all, the Gottingen School has a large number of people and comprehensive disciplines, with rare all-rounders-Gauss, Riemann, Klein and Hilbert as academic leaders in each period; Secondly, young academic leaders, active thoughts and creativity are the important reasons why the Gottingen School has long dominated the development of world mathematics. Attaching importance to academic exchanges and creating an academic atmosphere of free and equal discussion and close cooperation have become a common practice, which is an important reason why the Gottingen School has made great achievements. Attaching importance to the excellent dual scientific tradition of combining pure mathematics with applied mathematics, theoretical natural science with control engineering technology is a successful experience left by Gottingen School.