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UOA 20 - Pure Mathematics

RA1, RA2 and RA5c: Staff and output details and Category C staff circumstances


Barrow-Green, JE - Category : A

RA2 - Research outputs:

Number of outputs: 4

Output number: 1 of 4


Gösta Mittag-Leffler and the Foundation and Administration of Acta Mathematica

Output type: Chapter in book
Editors: Hunger Parshall, Karen and Rice, Adrian C.
Book title: Mathematics unbound: the evolution of an International Mathematical Research Community, 1800-1945
Publisher: American Mathematical Society/London Mathematical Society
Year of publication: 2002
Pagination: 138-164
ISBN: 9780821821244
Other relevant details: This paper shows that Gösta Mittag-Leffler’s primary contribution to mathematics was as the founder and editor-in-chief of the journal Acta Mathematica. Important for the success of the journal was Mittag-Leffler’s ability to attract papers from the elite of Europe’s mathematicians. This paper examines the involvement of Poincaré, Cantor and Kovalevskaya with Acta, both in terms of their work and in their relationships with Mittag-Leffler, and provides the first detailed account of the symbiosis that can exist between a journal and the mathematicians whose work it serves to promote.

Output number: 2 of 4


Burnside’s applied mathematics

Output type: Chapter in book
Editors: Neumann, Peter M. and Mann, A.J.S. and Tompson, Julia C.
Book title: The Collected Papers of William Burnside
Publisher: Oxford University Press
Year of publication: 2004
Pagination: 63-70
ISBN: 978-0-19-850585-3
Other relevant details: This paper, which is the first to consider William Burnside’s work as an applied mathematician, discusses Burnside’s contributions to hydrodynamics, the kinetic theory of gases and potential theory. Burnside, well known for his crucial work in group theory, began his research career in applied mathematics and aspects of the subject held an appeal for him throughout his academic life. His work in this area is important both because it reveals him as one of the first in Britain to understand the new methods of complex function theory, and because it demonstrates the breadth of his concerns and his awareness of current debates.

Output number: 3 of 4


Henri Poincare, memoir on the three-body problem (1890)

Output type: Chapter in book
Editors: Grattan-Guinness, I.
Book title: Landmark Writings in Western Mathematics 1640-1940
Publisher: Elsevier
Year of publication: 2005
Pagination: 627-638
ISBN: 978-0-444-50871-3

Output number: 4 of 4

Title Geometry at Cambridge, 1863-1940
Output type: Journal article
Journal title: Historia Mathematica
Month/year of publication: August 2006
Pagination: 315-356
Volume: 33(3)
ISSN: 0315-0860
DOI: 10.1016/ ?
Co-authors: Jeremy Gray