A Path in History, from Curvature to Convexity

A’Campo-Neuen, Annette and Papadopoulos, Athanase. (2019) A Path in History, from Curvature to Convexity. In: Geometry in History. Cham, pp. 305-353.

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We describe a path in the history of curvature, starting from Greek antiquity, in the works of Euclid, Apollonius, Archimedes and a few others, passing through the works of Huygens, Euler, and Monge and his students, and ending in the twentieth century at the works of Bonnesen, Fenchel, Busemann, Feller and Alexandrov. Our goal is not to review the whole history of curvature, but to show how the approaches to curves, surfaces and curvature evolved from the synthetic point of view of the Greeks to the methods of analytic geometry founded by Fermat, Descartes, Newton and Leibniz, and eventually, in the twentieth century, experienced a return to the synthetic methods of the Greeks.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik
UniBasel Contributors:A'Campo-Neuen, Annette
Item Type:Book Section, refereed
Book Section Subtype:Further Contribution in a Book
Note:Publication type according to Uni Basel Research Database: Book item
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Last Modified:27 Jan 2020 13:44
Deposited On:27 Jan 2020 13:44

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