Biographical Memoirs Volume 81 (2002) / Chapter Skim
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William Fogg Osgood
William Fogg Osgood
Pages 246-257
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James Mills Peirce (18341906) , son of Benjamin, was in the Mathematics Department, en cl served also later ~ ~ 890-]
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Later he took a leacling part in organizing the Enzyktopadie der Mathematischen Wissenschaften, the object of which was to summarize in one collection all mathematical research up to 1900. Klein also hac!
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him there, also a student greatly influenced by Felix Klein, en cl a man of mathematical backgrouncl en cl icleals similar to those of Osgood. They were very close friencis both personally en c!
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In ~ 900 Osgood establishecI, by methods clue to H Poincare, the Riemann mapping theorem, namely that an arbitrary simply connected region of the plane with at least two boundary points, can be mappecl uniformly and conformally onto the interior of a circle.
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In 1922 Osgood published a paper on the motion of the gyroscope, in which he showed that intrinsic equations for the motion introduce simplifications en cl macle the entire theory more intelligible. From time to time Osgood devoted himself to the study of several complex variables, this topic is included in his Enzyklopadie article.
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to me with approval a German professor's reply to a student who had presented to him an original question together with the solution, which was by no means trivial: "Ich bestreite Ihnen cias Recht, ein beliebiges Problem zu stellen uncl aufzulosen." Osgood lovecl to teach, at all levels. His exposition was not always thoroughly transparent, but was accurate, rigorous, en cl stimulating, invariably with emphasis on classical problems en cl results.
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written a pamphlet on Infinite Series, in which he set forth much of the theory of series neeclecl in the Calculus, en cl his text on the Calculus ciates from 1907. This too was written in a careful exact style, that shower!
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He was intentionally raising the scientific level of mathematics in America en c! elsewhere, en cl hacl a great part in this process by his productive work, scholarly textbooks, en cl excellent classroom teaching.
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1 900 .. Ueber einen Satz des Herrn Schonflies aus der Theorie der Functionen zweier reeller Veranderlichen.
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From page 256... ...
II-2 :1 -114. French trans.: Fonctions analytiques, expose d'apres ['article allemand de W
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From page 257... ...
7:111-230. 1916 On functions of several complex variables.
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