Gauss summed up the application of complex numbers and strictly proved that every algebraic equation of order n must have n real numbers or complex numbers. In his first masterpiece, Arithmetic Research, he proved the law of quadratic reciprocity, which became an important basis for the continued development of number theory. The first chapter of this book deduces the concept of triangle congruence theorem.

With the help of Gaussian survey adjustment theory based on least square method, the trajectory of celestial bodies is calculated. In this way, he calculated the trajectory of the asteroid Ceres.

Talent:

When Gauss 12 years old, he began to doubt the basic proof in element geometry. When he was 16 years old, it was predicted that a completely different geometry would be produced outside Euclidean geometry, that is, non-Euclidean geometry. He derived the general form of binomial theorem, successfully applied it to infinite series and developed the theory of mathematical analysis.

Gauss's teacher Brutner and his assistant Martin bartels realized Gauss's unusual talent in mathematics very early, and Herzog Karl willem ferdinand von Brunswick also left a deep impression on this gifted child.

Therefore, they have sponsored Gauss 14 years old to study and live. This also enabled Gauss to study at Caroline College (the predecessor of Brunswick Polytechnic University) at 1792- 1795. /kloc-At the age of 0/8, Gauss transferred to the University of G? ttingen. At the age of 19, he was the first to successfully prove that a regular heptagon can be drawn with a ruler.