Differential forms -- Cartan to De Rham
type: Item
instance of: scholarly article
title: Differential forms -- Cartan to De Rham
zbMATH Open document ID: 0563.01012
DOI: 10.1007/BF00348587
author: Victor J. Katz
published in: Archive for History of Exact Sciences
publication date: 1985-01-01T00:00:00Z
review text: The paper is devoted to the history of the theory of differential forms in the first half of the 20th century [it is a continuation of the paper Hist. Math. 8, 161--188 (1981; Zbl 0462.01010)]. The author discusses the influences which led Cartan to the definition of a differential form, talks about the Poincaré lemma and the De Rham theorem. The development of a modern definition of a differential form and the eventual absorption of the subject into more abstract contexts is also considered.
reviewed by: Roman Murawski
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 53-03
Mathematics Subject Classification ID: 58-03
zbMATH DE Number: 3896878
MaRDI profile type: Publication
cites work: Q5842420
cites work: Differential forms. With applications to the physical sciences
cites work: Q3260702
cites work: The history of differential forms from Clairaut to Poincaré
cites work: On matrices of integers and combinatorial topology
full work available at URL: https://doi.org/10.1007/bf00348587
OpenAlex ID: W1973615295
description: scientific article; zbMATH DE number 3896878