Differential Geometry

Raymond O. Wells ()
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Raymond O. Wells: University of Colorado Boulder

Chapter Chapter 2 in Differential and Complex Geometry: Origins, Abstractions and Embeddings, 2017, pp 17-30 from Springer

Abstract: Abstract Calculus was discovered by Newton and Leibniz at the beginning of the eighteenth century and was almost immediately used to study the geometry of curves and surfaces in two- and three-dimensional space. This chapter traces aspects of this interaction, and, in particular, it traces the development of the curvature of curves and surfaces in this time frame due to Huygens, Newton, Clariraut and others.E uler investigated, in particular, the curvature of a surface in 1767.

Date: 2017
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DOI: 10.1007/978-3-319-58184-2_2

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