Document Type
Book Chapter/Essay
Publication Date
1854
Abstract
Chapter XIII (pp. 257-272) of Bernhard Riemann, Collected Papers (Kendrick Press, 2004). Translation into English from the original German, by Roger Baker, Charles Christenson, and Henry Orde. Original title: Über die Hypothesen, welch der Geometrie zu Grunde liegen, Habilitationsschrift, 1854, Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen, v. 13.
Publication Information
Heber City, UT : Kendrick Press, ©2004.
Recommended Citation
Riemann, Bernhard, "The hypotheses on which geometry is based" (1854). 2014, February 8-9 ORESME Reading Group Meeting. 1.
https://www.exhibit.xavier.edu/oresme_2014Feb/1
COinS
Comments
This is Riemann's inaugural lecture at Göttingen, an extremely influential work that introduced Riemannian tensor geometry and redirected research in differential geometry, laying the groundwork for mathematical physics into the twentieth century.