Cultivating a research imperative: mentoring mathematics at \textit{Stockholms Högskola}, 1882--1887
type: Item
instance of: scholarly article
title: Cultivating a research imperative: mentoring mathematics at \textit{Stockholms Högskola}, 1882--1887
zbMATH Open document ID: 1484.01011
author: Laura E. Turner
published in: Historia Mathematica
publication date: 2020-04-09T00:00:00Z
review text: The central role of the Swede Gösta Mittag-Leffler (1846--1927) in the promotion of specialized, research-oriented mathematics at Stockholm's Högskola is widely acknowledged. The author aims at describing the specific social and technical means by which he sought to cultivate a fledgling research community there during the early-to mid-1880s which have hitherto received little attention. In particular, a detailed study of the relationship of Mittag-Leffler's own research activity to that of his first Swedish students was absent from the existing literature. To characterize the system of beliefs underlying the reforms Mittag-Leffler achieved in the early 1880s the author adopts R. Steven Turner's term ``research imperative'' (1981), namely the ideal that the proper function of the university professor was not only to transmit academic learning, but also expand it through criticism and research. Drawing much on unpublished correspondence, the paper explores Mittag-Leffler's active and deliberate efforts to engage his students Ivar Bendixson and Edvard Phragmén in open problems within his own research agenda, support them through his institutional connections, and instill within them norms concerning research ideologies, practices of communication and criticism, and frameworks for shared knowledge. A particularly important part and result of this was the introduction of the new notions from Georg Cantor's set theory into Swedish mathematical research.
reviewed by: Reinhard Siegmund-Schultze
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 01A73
Mathematics Subject Classification ID: 26-03
Mathematics Subject Classification ID: 28-03
zbMATH DE Number: 7188917
zbMATH Keywords: mathematics in Sweden
zbMATH Keywords: early set theory and point set topology
zbMATH Keywords: Weierstrassian analysis
MaRDI profile type: Publication
full work available at URL: j.hm.2019.06.003
OpenAlex ID: W2973019001
cites work: Q4544173
cites work: Q4544174
cites work: The dramatic episode of Sundman
cites work: Q5675328
cites work: Zur Biographie von Karl Weierstraß und zu einigen Aspekten seiner Mathematik
cites work: Q3728860
cites work: Q5462928
cites work: Hidden harmony -- geometric fantasies. The rise of complex function theory
cites work: Q4881823
cites work: Q4002323
cites work: Q3221945
cites work: Q3375260
cites work: Q3912532
cites work: Mathematics Sent Across the Channel and the Atlantic: British Mathematical Contributions to European and American Scientific Journals, 1835–1900
cites work: On the foundation of Acta Mathematica
cites work: Éléments d'analyse de Karl Weierstrass
cites work: A locus for transnational exchanges: European mathematical journals for students and teachers, 1860s--1914
cites work: Q3931217
cites work: Q3427170
cites work: Q4323315
cites work: Q3727928
cites work: The \textit{Mathematical Miscellany} and the \textit{Cambridge Miscellany of Mathematics}: closely connected attempts to introduce research-level mathematics in America, 1836--1843
cites work: Karl Weierstraß (1815–1897)
cites work: The emergence of open sets, closed sets, and limit points in analysis and topology
cites work: How we got where we are: an international overview of mathematics in national contexts (1875--1900).
cites work: Q5476739
cites work: On Cantor’s Continuum Problem and Well Ordering: What really happened at the 1904 International Congress of Mathematicians in Heidelberg
cites work: The rise of British analysis in the early 20th century: the role of G. H. Hardy and the London Mathematical Society.
cites work: Q4399870
cites work: Episodes in the Berlin-Göttingen rivalry, 1870--1930.
cites work: Q4651015
cites work: Weierstraß’s Approximation Theorem (1885) and his 1886 lecture course revisited
cites work: The interplay of various Scandinavian mathematical journals (1859--1953) and the road towards internationalization
cites work: Q4929751
cites work: Gösta Mittag-Leffler
cites work: The Mittag-Leffler theorem: the origin, evolution, and reception of a mathematical result, 1876--1884
cites work: Q5706506
cites work: Q4040571
DOI: 10.1016/J.HM.2019.06.003
description: scientific article; zbMATH DE number 7188917