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Differential Geometry

In: Differential and Complex Geometry: Origins, Abstractions and Embeddings

Author

Listed:
  • Raymond O. Wells Jr.

    (University of Colorado Boulder
    Jacobs University Bremen)

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.

Suggested Citation

  • Raymond O. Wells Jr., 2017. "Differential Geometry," Springer Books, in: Differential and Complex Geometry: Origins, Abstractions and Embeddings, chapter 0, pages 17-30, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-58184-2_2
    DOI: 10.1007/978-3-319-58184-2_2
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