``Local-global'': the first twenty years
type: Item
instance of: scholarly article
title: ``Local-global'': the first twenty years
zbMATH Open document ID: 1235.01014
author: Renaud Chorlay
published in: Archive for History of Exact Sciences
publication date: 2011-03-30T00:00:00Z
review text: The author presents a very careful investigation of the mathematical etymology of the phrase ``local-global''. It first appeared at the end of the 19th century in areas related to complex analysis, the calculus of variations, and differential geometry. The occurrence of the phrase in number theory (starting with Hasse's dissertation, but becoming explicit only with the emergence of local class field theory in the 1930s) is mentioned, but not studied since ``the first twenty years'' roughly cover the period from 1898 until 1918.
reviewed by: Franz Lemmermeyer
Mathematics Subject Classification ID: 01A60
Mathematics Subject Classification ID: 01A55
zbMATH DE Number: 5871676
zbMATH Keywords: local-global principle
zbMATH Keywords: calculus of variations
zbMATH Keywords: differential geometry
zbMATH Keywords: complex analysis
MaRDI profile type: Publication
full work available at URL: s00407-010-0070-1
OpenAlex ID: W2151541935
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DOI: 10.1007/S00407-010-0070-1
description: scientific article; zbMATH DE number 5871676