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Images of Italian Mathematics in France Lines on the Horizon

Images of Italian Mathematics in France : Lines on the Horizon [This chapter provides a detailed examination of the manner in which elements drawn from a reading of Volterra’sVolterra work on the generalization of the concept of function and differential calculus became decisive for the research programs of first HadamardHadamard and then FréchetFréchet, and how this passing of the baton to a new generation marked a turning point in the evolution of studies on partial differential equations, and more broadly, for all of twentieth-century functional analysis.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Images of Italian Mathematics in France Lines on the Horizon

Part of the Trends in the History of Science Book Series
Editors: Brechenmacher, Frédéric; Jouve, Guillaume; Mazliak, Laurent; Tazzioli, Rossana

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References (107)

Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2016
ISBN
978-3-319-40080-8
Pages
127 –179
DOI
10.1007/978-3-319-40082-2_6
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter provides a detailed examination of the manner in which elements drawn from a reading of Volterra’sVolterra work on the generalization of the concept of function and differential calculus became decisive for the research programs of first HadamardHadamard and then FréchetFréchet, and how this passing of the baton to a new generation marked a turning point in the evolution of studies on partial differential equations, and more broadly, for all of twentieth-century functional analysis.]

Published: Oct 14, 2016

Keywords: Functional Calculus; Differential Calculus; Line Function; Abstract Space; Exceptional Point

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