http://blog.sciencenet.cn/blog-542302-983888.html   :

"圣彼得堡数学学派是俄罗斯在数学领域创建最早、实力最强、影响最大的学派，该学派自19世纪中叶建立至20世纪初进入鼎盛时期，在诸多数学分支均做出了重大贡献。" --《圣彼得堡数学学派研究》，科学出版社, 2016。

切比雪夫是圣彼得堡数学学派的奠基人和领袖。他一生发表了70多篇科学论文，内容涉及数论、概率论、函数逼近论、积分学等方面。他证明了贝尔特兰公式，自然数列中素数分布的定理，大数定律的一般公式以及中心极限定理。

切比雪夫_百度百科: https://baike.baidu.com/item/切比雪夫

                              https://zh.wikipedia.org/wiki/巴夫尼提·列波维奇·切比雪夫:

貢獻  

• 機率論

• 切比雪夫不等式

• 分析

• 切比雪夫多项式 ("Borwein has developed an algorithm that applies Chebyshev polynomials to the Dirichlet eta function to produce a very rapidly convergent series suitable for high precision numerical calculations, which he published on the occasion of the awarding of an honorary doctorate to his brother, Jonathan.^[1] [1]Borwein, Peter (2000). "An Efficient Algorithm for the Riemann Zeta Function" (PDF).  In Théra, Michel A. Constructive, Experimental, and Nonlinear Analysis. Conference Proceedings, Canadian Mathematical Society. 27. Providence, RI: American Mathematical Society, on behalf of the Canadian Mathematical Society. pp. 29–34. ISBN 978-0-8218-2167-1."-- https://en.wikipedia.org/wiki/Peter_Borwein)

• 切比雪夫滤波器

• 切比雪夫總和不等式

• 對於a,b∈R,p,q,r∈Q,abq≠0{\displaystyle a,b\in R,p,q,r\in Q,abq\neq 0}，xp(a+bxu)vdx{\displaystyle x^{p}(a+bx^{u})^{v}dx}可以積分成有限形式若且唯若p+1q,p+1q+r,r{\displaystyle {\frac {p+1}{q}},{\frac {p+1}{q}}+r,r}其中一者為整數。

• 數論

• 伯特蘭-切比雪夫定理：對於n>3{\displaystyle n>3}，n{\displaystyle n}和2n{\displaystyle 2n}之間至少有一個質數。

• 切比雪夫函數

• 力學

• Chebyshev linkage

https://en.wikipedia.org/wiki/Pafnuty_Chebyshev:

1 Chebyshev

https://www.genealogy.math.ndsu.nodak.edu/id.php?id=12542:

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  2 Lyapunov

 Aleksandr Mikhailovich Lyapunov:

https://baike.baidu.com/item/李雅普诺夫
https://zh.wikipedia.org/zh/亞歷山大·李亞普諾夫
https://en.wikipedia.org/wiki/Aleksandr_Lyapunov:
李雅普诺夫是切比雪夫创立的圣彼得堡学派的杰出代表，他的建树涉及到多个领域，尤以概率论、微分方程和数学物理最有名.

https://www.genealogy.math.ndsu.nodak.edu/id.php?id=31015:

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3 Steklov

Vladimir Andreevich Steklov

https://zh.wikipedia.org/zh-hans/弗拉基米尔·安德烈耶维奇·斯捷克洛夫:

斯捷克洛夫的主要科学贡献在正交函数集范畴。他引入了封闭类正交集，推导出正交多项式的刘维尔-斯捷克洛夫渐近公式，证明了广义傅里叶级数定理，并开发了一种后来被称为斯捷克洛夫函数的逼近法。他也致力于流体力学和弹性力学理论的研究。

https://en.wikipedia.org/wiki/Vladimir_Steklov_(mathematician)
https://baike.baidu.com/item/斯捷克洛夫:
斯捷克洛夫是前俄国数学物理学派的创始人。主要从事关于热传导、旋转物体的平衡和静电问题的研究。

Steklov Mathematical Institute (Russian Academy of Sciences)

https://www.genealogy.math.ndsu.nodak.edu/id.php?id=55623:

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4 Smirnov

Vladimir Ivanovich Smirnov

https://en.wikipedia.org/wiki/Vladimir_Smirnov_(mathematician)
https://zh.wikipedia.org/wiki/弗拉迪米爾·斯米爾諾夫

https://baike.baidu.com/item/斯米尔诺夫/17502856

斯米尔诺夫主要贡献在复变函数论、弹性理论和泛函分析等方面。他在偏微分方程、变分法、应用数学和数学史等方面也取得了重要的研究成果。还开辟了地震理论研究的新方向。斯米尔诺夫最著名的著作是5卷集的《高等数学教程》-- 中译本由人民教育出版社出版，从1952-1979年共印刷了十六次。

https://www.genealogy.math.ndsu.nodak.edu/id.php?id=54650:

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5 Kantorovich

Leonid Vitalievich Kantorovich

https://en.wikipedia.org/wiki/Leonid_Kantorovich

Mathematics

In mathematical analysis, Kantorovich had important results in functional analysis, approximation theory, and operator theory.

In particular, Kantorovich formulated fundamental results in the theory of normed vector lattices, which are called "K-spaces" in his honor.

Kantorovich showed that functional analysis could be used in the analysis of iterative methods, obtaining the Kantorovich inequalities on the convergence rate of the gradient method and of Newton's method (see the Kantorovich theorem).

Kantorovich considered infinite-dimensional optimization problems, such as the Kantorovich-Monge problem in transportation theory. His analysis proposed the Kantorovich metric, which is used in probability theory, in the theory of the weak convergence of probability measures.

https://zh.wikipedia.org/wiki/列昂尼德·维塔利耶维奇·坎托罗维奇
https://baike.baidu.com/item/坎托罗维奇/18211317
1920年代末创立线性规划，1975年获诺贝尔经济学奖。
他是现代计算数学理论的创始人之一。早在30年代初即从事函数构造论和近似分析方法研究，后又将泛函分析观点用于计算方法，创立了一种近似计算理论，人称牛顿-坎托罗维奇方法。
https://www.genealogy.math.ndsu.nodak.edu/id.php?id=58665:

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6 Akilov

Gleb Pavlovich Akilov:

https://www.genealogy.math.ndsu.nodak.edu/id.php?id=33680:

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 7 Rubinov

Aleksandr Moiseevich Rubinov:

https://federation.edu.au/schools/school-of-science-engineering-and-information-technology/research/computational-science-and-mathematics/ciao/alexander-rubinov:

https://www.genealogy.math.ndsu.nodak.edu/id.php?id=94429:

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