Hilbert was an important figure in the field of mathematics in the 20th century, and he had a far-reaching influence on the development of modern mathematics. His main contributions include:
1. Mathematical basis: Hilbert has a far-reaching influence on the study of meta-mathematics, and he has put forward many important problems and theorems, such as "Hilbert space".
2. Variational method: Hilbert has made an important contribution to the variational method. He put forward new methods and concepts, which promoted the development of variational method.
3. Integral equation: Hilbert also made many contributions to integral equation. He put forward new methods and concepts, which promoted the development of integral equations.
4. Functional analysis: Hilbert made an important contribution to functional analysis, and he put forward new methods and concepts, which promoted the development of functional analysis.
5. Theoretical Physics: Hilbert has also made many contributions to theoretical physics. He put forward new methods and concepts, which promoted the development of theoretical physics.
What has Hilbert achieved?
Hilbert was born in Konigsberg, Germany (now Kaliningrad, Russia) on 18621October 23rd. He was interested in mathematics when he was very young, and he was determined to be a mathematician, but his father wanted him to be a lawyer. 1880, despite his father's objection, he entered the University of Konigsberg to study mathematics. Four years later, he got a doctorate and stayed on as a teacher. From 65438 to 0895, he was transferred to the University of G? ttingen as a professor and settled here.
Science has its own special problems in each era, and solving these problems is of far-reaching significance to the development of science. Hilbert does not forget to think about the development direction of mathematics while studying mathematical problems. 1900, Hilbert gave a famous speech entitled "Mathematical Problems". In his speech, he analyzed the development trend of mathematics on the basis of previous research results and put forward 23 mathematical problems, namely the famous Hilbert problem.
After these questions were put forward, mathematicians all over the world began to study them, which made the mathematical research unprecedented prosperity.