Cauchy constellation _ Cauchy what constellation?

Euler, Bernoulli, Lagrange, Cauchy, who is the master and who is the apprentice.

Johann bernoulli is Euler's teacher, Euler is an important influence of Lagrange, and Lagrange is Cauchy's important mentor.

1720, 13-year-old Euler was admitted to university of basel by her own efforts, and was carefully guided by the most famous mathematician at that time (John johann bernoulli, 1667- 1748). Euler entered university of basel at the age of 13, majoring in philosophy and law, but he studied mathematics with johann bernoulli, the best mathematician in Europe at that time, every Saturday afternoon.

18 years old, Lagrange wrote his first paper in Italian, and used Newton's binomial theorem to deal with the high-order WeChat service of the product of two functions. He wrote this paper in Latin and sent it to Euler, a mathematician who worked at the Berlin Academy of Sciences at that time. 1755, when Lagrange 19 years old, based on Euler's thinking results, the variational extreme value is obtained by pure analysis. Euler variational method is developed, which lays a theoretical foundation for variational method.

Cauchy was born in Paris on August 2 1789. My father is a lawyer who is proficient in classical literature and has close contacts with the great French mathematicians Lagrange and Laplace at that time. From 1807 to 18 10, Cauchy studied in the Institute of Technology and worked as a traffic road engineer. Due to poor health, he accepted the advice of Lagrange and Laplace, gave up the engineer and devoted himself to the study of pure mathematics.

Extended data:

Euler's related achievements:

1, number theory: Euler's series of achievements laid the foundation for number theory as an independent branch of mathematics. A large part of Euler's works is related to the theory of divisibility of the same number. Euler's most important discovery in number theory is the quadratic anti-law.

2. Algebra: Euler's Introduction to Algebra is a systematic summary of the algebra that began to develop in the middle of16th century.

3. Infinite Series: Euler's Introduction to Differential Calculus is (1755) the first treatise on finite difference calculus, and he was the first person to introduce difference operator. Euler not only widely used power series, but also introduced a new class of extremely important Fourier trigonometric series.

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