JOURNAL OF DIALECTICS OF NATURE
A Comprehensive, Academic Journal of the Philosophy, History, Sociology and Cultural Studies of Science and Technology
Author Information
XU Nainan
Information
<p>吉林师范大学数学学院教授</p>
Research Articles
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Solomon Lefschetz: A Stalwart of the Topology School of Princeton Lefschetz; Fixed point; Topology; The Topology School of PrincetonIssue:Volume 45, lssue 7, July 2023Page: 120-126
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A Blind Mathematician: Lev Semenovich Pontryagin Abstract: Pontryagin was an outstanding blind mathematician in the former Soviet Union, who became blind in an accident when he was a child, but eventually became one of the top mathematicians of the 20th century. His early work focused on topology and led to the establishment of Pontryagin’s duality theorem, considered one of the most remarkable achievements of topology. In the 1950s, he turned to applied mathematics, studied vibration theory and optimal control theory, became the founder of mathematical theory of optimization process, proposed Pontryagin maximum principle, and achieved a high international reputation. This paper aims to provide a comprehensive historical analysis of Pontryagin’s life legend, mathematical achievements and educational contributions. Key Words: Topolopy; Duality theorem; Applied mathematics; Optimization theoryIssue:Volume 46, lssue 6, June 2024Page: 121-126
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Aleksandrov: Founder of Moscow Topological School Abstract: Pavel Sergeevich Aleksandrov was an outstanding mathematician in the Soviet Union in the 20th century. His mathematical research began in the field of set theory and real variable function theory, and achieved remarkable results. Later, he devoted himself to the development of topology. He founded the theory of compact space, significantly developed the theory of dimension, and developed the combinatorial research methods of set theory and general property space. Many concepts and theorems of general topology were named after Aleksandrov, which laid a solid foundation for the later mathematical research. Aleksandrov also founded and developed the topological school of Moscow University. Key Words: Aleksandrov; Bicompact space; Homology dimension theory; Moscow Topological SchoolIssue:Volume 47, lssue 2, February 2025Page: 117-124
JOURNAL OF DIALECTICS OF NATURE
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