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Maurice René Fréchet and the Theory of Abstract Spaces

Maurice René Fréchet and the Theory of Abstract Spaces

Harald Sack
On September 2, 1878, French mathematician Maurice René Fréchet was born. Fréchet is known chiefly for his contribution to real analysis. He is credited with being the founder of the theory of abstract spaces, which generalized the traditional mathematical definition of space as a locus for the comparison of figures; in Fréchet‘s terms, space is defined as a set of points and the set of relations. He also made several important contributions…
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mathematics
Stefan Banach and Modern Function Analysis

Stefan Banach and Modern Function Analysis

Harald Sack
On March 30, 1892, Polish mathematician Stefan Banach was born. One of the founders of modern functional analysis, he is generally considered one of the world’s most important and influential 20th-century mathematicians. Some of the notable mathematical concepts that bear Banach‘s name include Banach spaces, Banach algebras, the Banach–Tarski paradox, the Hahn–Banach theorem, the Banach–Steinhaus theorem, the Banach-Mazur game, the Banach–Alaoglu theorem, and the Banach fixed-point theorem. “A mathematician is a person…
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mathematics
Felix Hausdorff and the Basic Principles of Set Theory

Felix Hausdorff and the Basic Principles of Set Theory

Harald Sack
On November 8, 1868, German mathematician Felix Hausdorff was born. He is considered a co-founder of general topology and made significant contributions to general and descriptive set theory, measure theory, functional analysis and algebra. In addition to his profession, he also worked as a philosophical writer and literary figure under the pseudonym Paul Mongré. Felix Hausdorff – Early Years Felix Hausdorff was born in Breslau, Kingdom of Prussia, today Wroclaw in Poland. Hausdorff’s…
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