When he was young, he showed superhuman mathematical genius. He entered the University of G? ttingen on 1795. The next year, he discovered the regular drawing method of regular heptagon, gave the conditions that rules can be regular polygons, and solved the outstanding problems since Euclid.
Gauss's mathematical research covers almost all fields, and he has made pioneering contributions in number theory, algebra, non-Euclidean geometry, complex variable function, differential geometry and so on. He also applied mathematics to the study of astronomy, geodesy and magnetism, and invented the principle of least square method. Korea's research on number theory was summarized in Arithmetic Research (180 1), which laid the foundation for modern times. It is not only an epoch-making work in number theory, but also one of the rare classic works in the history of mathematics. Gauss's important contribution to algebra is to prove the basic theorem of algebra, and his existence proof opens up a new way of mathematical research. Gauss obtained the principle of non-Euclidean geometry around 18 16. He also deeply studied the complex variable function. He established some basic concepts and discovered the famous Cauchy integral theorem. He also discovered the double periodicity of elliptic functions, but these works were not published before his death. 1828, Gauss published "General Theory of Surfaces", which comprehensively and systematically expounded the differential geometry of spatial surfaces and put forward the theory of intrinsic surfaces. Gaussian surface theory was later developed by Riemann. Gauss published 155 papers in his life. He is very strict with his studies and only publishes works that he thinks are mature. His works include "Geomagnetism Concept" and "Gravitation and repulsion are inversely proportional to the square of distance".
180 1 year, Gauss has the opportunity to dramatically demonstrate his superb computing skills. On New Year's Day that year, a celestial body named Ceres was discovered, which was later proved to be an asteroid. At that time, it seemed to be approaching the sun. Although astronomers have 40 days to observe it, they can't calculate its orbit. Gauss made only three observations and put forward a method to calculate its orbital parameters. Moreover, the accuracy achieved enables astronomers to re-locate Ceres at the end of 180 1 and the beginning of 1802 without any difficulty. In this calculation method, Gauss used the least square method he created in about 1794 (a method that can get the best estimate from a specific calculation). This achievement was immediately recognized in astronomy. The method described in is still in use today, and it can meet the requirements of modern computers with a little modification. Gauss achieved similar success on the asteroid Athena of pallas.
Because of his outstanding research achievements in mathematics, astronomy, geodesy and physics, Gauss was elected as a member of many academies and academic groups. The title of "King of Mathematics" is an appropriate tribute to his life.
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