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]

Preview

PDF Dini-1.pdf Download (951kB)

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Iurato, Giuseppe giuseppe.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.pitt.edu/id/eprint/9485

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item