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.
Ausejo Martínez, Elena
Cogliati, Alberto
Deng, Mingli
Glas, Eduard
Gray, Jeremy
Journals
Historia Mathematica
Archive for History of Exact Sciences
Journal of Dialectics of Nature
Llull: Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas
Mathematische Semesterberichte
NTM: Zeitschrift für Geschichte der Naturwissenschaften, Technik und Medizin
Publishers
Carocci Editore
E.N.S.
Guaraldi
Oxford University Press
Concepts
Geometry
Mathematics
Correspondence and corresponding
Non-euclidean geometry
Group theory
Translations
People
Klein, Felix
Poincaré, Jules Henri
Riemann, Georg Friedrich Bernhard
Hilbert, David
Lie, Marius Sophus
Gauss, Carl Friedrich
Time Periods
19th century
20th century
20th century, early
Medieval
Places
Europe
Germany
Italy
Prussia (Germany)
Institutions
Universität Göttingen
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