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On the role played by the work of Ulisse Dini on implicit function theory in the modern differential geometry foundations: the case of the structure of a differentiable manifold, 1

Iurato, Giuseppe (2012) On the role played by the work of Ulisse Dini on implicit function theory in the modern differential geometry foundations: the case of the structure of a differentiable manifold, 1. [Preprint]

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Abstract

In this first paper we outline what possible historic-epistemological role might have played the work of Ulisse Dini on implicit function theory in formulating the structure of differentiable manifold, via the basic work of Hassler Whitney. A detailed historiographical recognition about this Dini's work has been done. Further methodological considerations are then made as regards history of mathematics.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Iurato, Giuseppegiuseppe.iurato@unipa.it
Keywords: differentiable manifold, implicit function, immersion theorems
Subjects: General Issues > History of Science Case Studies
Specific Sciences > Mathematics
Depositing User: Dr Giuseppe Iurato
Date Deposited: 27 Dec 2012 21:02
Last Modified: 27 Dec 2012 21:02
Item ID: 9485
Subjects: General Issues > History of Science Case Studies
Specific Sciences > Mathematics
Date: 2012
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/9485

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