The Emergence of the American Mathematical Research Community 1876-1900: J. J. Sylvester, Felix Klein and E. H. Moore

2000 ◽  
Vol 84 (499) ◽  
pp. 170
Author(s):  
Tony Crilly ◽  
Karen Hunger Parshall ◽  
David E. Rowe
Keyword(s):  
Research Community ◽  
Mathematical Research ◽  
Felix Klein

scholarly journals Joining a Mathematical Research Community

2019 ◽  
Vol 66 (07) ◽  
pp. 1
Author(s):  
Leslie Hogben ◽  
T. Christine Stevens
Keyword(s):  
Research Community ◽  
Mathematical Research

scholarly journals Structuralism and Mathematical Practice in Felix Klein’s Work on Non-Euclidean Geometry†

2020 ◽  
Vol 28 (3) ◽  
pp. 360-384
Author(s):  
Francesca Biagioli
Keyword(s):  
Euclidean Geometry ◽  
Mathematical Practice ◽  
Transformation Groups ◽  
Mathematical Research ◽  
Mathematical Structures ◽  
Research And Practice ◽  
Felix Klein ◽  
Non Euclidean Geometry ◽  
Mathematical Structuralism

Abstract It is well known that Felix Klein took a decisive step in investigating the invariants of transformation groups. However, less attention has been given to Klein’s considerations on the epistemological implications of his work on geometry. This paper proposes an interpretation of Klein’s view as a form of mathematical structuralism, according to which the study of mathematical structures provides the basis for a better understanding of how mathematical research and practice develop.

scholarly journals Training Research Mathematicians circa 1900

2021 ◽  
pp. 65-83
Author(s):  
Karen Hunger Parshall
Keyword(s):  
Nineteenth Century ◽  
Twentieth Century ◽  
Great Britain ◽  
Research Community ◽  
Critical Component ◽  
Mathematical Research ◽  
American System ◽  
Research Level ◽  
Training Research ◽  
Level Training

An American mathematical research community emerged over the course of the closing quarter of the nineteenth century. In its efforts to shape itself, it looked abroad and especially to Germany, France, and Great Britain, three countries long established as mathematical leaders. What it found there were three very different systems for training future mathematical researchers. This chapter compares and contrasts those systems—at the same time that it examines the American system ultimately influenced by them—as they had evolved by the turn of the twentieth century. In so doing, it casts a comparative eye on what have traditionally been treated as four largely separate and distinct national mathematical communities and identifies shared standards of and practices in research-level training as a critical component of the internationalization of the field in the twentieth century.

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