What are the achievements of the world famous mathematician Euler?

Euler. , is a Swiss mathematician. Born in Basel, Switzerland, died in St. Petersburg.

petepbypt）。His father, Paul Ora, was a pastor and loved mathematics, so he was exposed to this aspect from an early age. But his father insisted that he study theology so that he could succeed him in the future.

Luckily, Euler didn't follow the path his father had arranged for him. His father studied at the University of Basel.

Went to school with the famous mathematician John Bernoulli at the time.

Johann Bernoulli and Jacob Bernoulli, there is a bit of a friendship. As a result of this relationship, Euler became acquainted with two of John's sons: Nicolaus Bernoulli (1695-1726), who excelled in mathematics, and Daniel Bernoulli (two brothers, both of whom later became mathematicians).

They often tell little Euler vivid math stories and interesting math knowledge. Euler has benefited greatly from all of this. In 1720, at the age of 13, Euler became a student at the University of Basel, and John carefully cultivated the intelligent and clever Euler.

When John found that the knowledge in the classroom could no longer satisfy Euler's desire to learn, he decided to tutor, answer questions and teach him alone every Saturday afternoon. John's hard work was not in vain, and under his rigorous training, Ora finally grew. At the age of 17, he became Basel's first-ever young master and became Johan's assistant.

Under John's guidance, Euler chose from the very beginning the path of mathematical research by solving practical problems. In 1726, at the age of 19, Euler was awarded a grant from the Paris Academy of Sciences for his work "On the Question of Ships with Mast Configuration". This signifies that Euler's feathers are full and can now spread his wings and fly.

In the mid-18th century, Euler and other mathematicians founded the discipline of differential equations in the process of solving physical problems. It is worth mentioning that the first article in the pure mathematical study of partial differential equations was Euler's Study of the Integral Method of Equations. Euler also studied the method of expressing functions in trigonometric series and the series method for solving differential equations, among others.

Euler introduced the parametric equation of the space curve and gave the analytical expression of the radius of curvature of the space curve. In 1766 he published A Study of Curves on Surfaces, which established the theory of surfaces. This work is Euler's most important contribution to differential geometry and is a milestone in the history of differential geometry.

Euler's contributions to analytics are numerous.

For example, he introduced the function and the b function, proved the addition theorem of elliptic integrals, and was the first to introduce double integrals, and so on. The foundation of number theory as an independent branch of mathematics was laid by a series of achievements of Euler. He also solved the famous combination problem:

The problem of the seven bridges in Königsberg. Important constants, formulas, and theorems that bear his name are often found in many branches of mathematics.

Because Euler was not a pure mathematician. Gauss.

He was more accomplished in analysis than Euler, and Gauss was known as the prince of mathematics, a generalist in mathematics, the law of quadratic reciprocity, the fundamental theorem of algebra, the founder of complex variable functions, etc., involving almost all fields of mathematics at that time.

In addition, Gauss also contributed to the movement of celestial bodies when he was director of the Göttingen Observatory, and measured Pluto.

tracks and so on. It has also cultivated a large number of excellent mathematicians.

Because there is already a subject.