Article ID: CBB001510467

Editing Geometries: The Geometry Volumes in Klein's Encyclopedia (2015)

unapi

In the present article I describe the structure of the volumes on geometry in the Encyclopedia of Mathematical Sciences designed by the German mathematician Felix Klein (1849--1925) and compare it to the one of the Jahrbuch über die Fortschritte der Mathematik. I will argue that some global features, like lack of opposition between synthetic and analytic geometry, were present in the very first volumes of Klein's encyclopedia, thus foreshadowing similar changes later made in the Jahrbuch. The regular participation of young mathematicians as coauthors allowed for the inclusion of innovative subjects in the Encyclopedia. In addition, changes were made in the structure of this work along its 30 years of continuous publication. Finally, I included some information as to the reception and obsolescence of Klein's publishing project.

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Authors & Contributors
Rowe, David E.
Cogliati, Alberto
L. D. Kay
Ausejo Lifante, Elena
Caserio, Antonio
Giannini, Giulia
Journals
Historia Mathematica
Studies in History and Philosophy of Science
Revue d'Histoire des Mathématiques
Physis: Rivista Internazionale di Storia della Scienza
Mathematische Semesterberichte
Llull: Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas
Publishers
Plus, Pisa University Press
Oxford University Press
Information Age Pub.
Guaraldi
E.N.S.
Carocci Editore
Concepts
Geometry
Mathematics
Group theory
Non-euclidean geometry
Riemann surfaces
Mathematics education
People
Klein, Felix
Poincaré, Jules Henri
Riemann, Georg Friedrich Bernhard
Gauss, Carl Friedrich
Lie, Marius Sophus
Levi-Civita, Tullio
Time Periods
19th century
20th century
18th century
21st century
20th century, early
Places
Italy
United States
Europe
Institutions
Gresham College, London
Royal Society of London
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