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Arthur Moritz Schoenflies

Arthur Moritz Schoenflies
Arthur Moritz Schoenflies
Conhecido(a) por	Problema de Schoenflies, notação de Schoenflies
Nascimento	17 de abril de 1853 Gorzów Wielkopolski
Morte	27 de maio de 1928 (75 anos) Frankfurt am Main
Nacionalidade	alemão
Alma mater	Universidade Humboldt de Berlim
Orientador(es)(as)	Ernst Kummer e Karl Weierstrass
Campo(s)	matemática
Tese	1877: Synthetisch-geometrische Untersuchungen über Flächen zweiten Grades und eine aus ihnen abgeleitete Regelfläche

Arthur Moritz Schoenflies (alemão: [ˈʃøːnfliːs];Gorzów Wielkopolski, 17 de abril de 1853 — Frankfurt am Main, 27 de maio de 1928) foi um matemático alemão.

Foi palestrante convidado do Congresso Internacional de Matemáticos em Heidelberg (1904: Struktur der perfekten Mengen).^[1]

Conhecido por suas contribuições para a aplicação da teoria dos grupos à cristalografia e por trabalhar em topologia.

Schoenflies nasceu em Landsberg an der Warthe (atual Gorzów, Polônia). Arthur Schoenflies casou-se com Emma Levin (1868–1939) em 1896, cuja irmã, a escritora Julie, era casada com o editor e estivador Julius Levin. Ele estudou com Ernst Kummer e Karl Weierstrass, e foi influenciado por Felix Klein.

O problema das Schoenflies é provar que um $(n-1)$ -esfera no n-espaço euclidiano limita uma bola topológica, porém embutida. Esta pergunta é muito mais sutil do que parece inicialmente.

Ele estudou na Universidade de Berlim de 1870 a 1875. Obteve o doutorado em 1877 e, em 1878, era professor em uma escola em Berlim. Em 1880, ele foi para Colmar para ensinar.

Schoenflies foi um colaborador frequente da enciclopédia de Klein: em 1898 ele escreveu sobre a teoria dos conjuntos, em 1902 sobre cinemática e sobre geometria projetiva em 1910.

Ele era um tio-avô de Walter Benjamin.

Trabalhos selecionados

Geometrie der Bewegung in synthetischer Darstellung. Teubner, 1886; translated by Charles Speckel as La Géométrie du Mouvement. Exposé synthétique. Gauthier-Villars 1893^[2]
Einführung in die mathematische Behandlung der Naturwissenschaft. 1a. ed., Dr. E. Wolff, 1895; 2a. ed. 1931 (com Walther Nernst)
Entwicklung der Mengenlehre und ihrer Anwendungen. Teubner, 1913 (com Hans Hahn).
Kristallsysteme und Kristallstruktur, Teubner 1891
Theorie der Kristallstruktur. Ein Lehrbuch. Gebr. Borntraeger, 1923.
Einführung in die Hauptgesetze der zeichnerischen Darstellungsmethoden, Teubner 1908, Project Gutenberg ebook
Articles: Mengenlehre (1898), Projektive Geometrie (1909), Kinematik (1902), Kristallographie (com Theodor Liebisch, Otto Mügge), Klein's encyclopedia.

Bibliografia

J. J. Burckhardt, in: Archive for History of Exact Sciences, 1967

Referências

↑ Verhandlungen des dritten Internationalen Mathematiker-Kongresses in Heidelberg vom 8. bis 13. August 1904 pp. 357
↑ Morley, Frank. «Review of Geometrie der Bewegung in synthetischer Darstellung by Arthur Schoenflies; translated as La Géométrie du Mouvement. Exposé synthétique by Charles Speckel» (PDF). Bull. Amer. Math. Soc. 5 (10): 476–480. doi:10.1090/S0002-9904-1899-00637-2

Ligações externas

O'Connor, John J.; Robertson, Edmund F., «Arthur Moritz Schoenflies», MacTutor History of Mathematics archive (em inglês), Universidade de St. Andrews
Arthur Moritz Schoenflies (em inglês) no Mathematics Genealogy Project
«Necrológio» (em inglês)

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