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Modern historiography of applied mathematics: content, methodology, deficits

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MHMW01 - Modern history of mathematics: emerging themes

The talks aims at giving a global and necessarily provisional view of a variety of definitory, methodical, and cognitive questions connected to the ups and downs in the attention to and appreciation of applied mathematics during its history. Sociological, political and ideological factors will be discussed as well as changes in disciplinary delimitations between mathematics, fields of applications such as astronomy, physics, engineering, biology and economics, hybrid disciplines such as aerodynamics, stochastics and information technologies. Special attention will be given to historical changes in the triangle of numerical, geometrical and instrumental methods and to modeling in applied mathematics. The role of persons for the rise of applied mathematics from about 1900 will be illuminated in overview for key figures such as Klein, Pearson, Runge, Borel, Mises, Kármán, Lefschetz, and Wiener. New requirements since the advent of personal computers and information technologies from the 1980s will be tentatively discussed. A view of crucial literature plus desiderata and lacunae will be given.

This talk is part of the Isaac Newton Institute Seminar Series series.

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