• Corpus ID: 118060519

Geometry in the Age of Enlightenment

  title={Geometry in the Age of Enlightenment},
  author={Raymond O'Neil Wells},
  journal={arXiv: History and Overview},
  • R. O. Wells
  • Published 30 June 2015
  • Education
  • arXiv: History and Overview
This paper describes the evolution of aspects of differential and algebraic gometry from the mid 17th century till the end of the 18th century. 


Key Developments in Geometry in the 19th Century
This paper describes several key discoveries in the 19th century that led to the modern theory of manifolds in the twentieth century: intrinsic differential geometry, projective geometry and higher
The Origins of Complex Geometry in the 19th Century
This paper gives an overview of several key innovations in the 19th century which led to complex geometry in the 20th century. This includes the creation of the complex plane, the work of Abel on
Algebraic curves
All singularities are analyzed cOITectly and the methods presented find application in solid modeling and robotics.
Mathematical Thought from Ancient to Modern Times
This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation
Ricci Flow and the Poincaré Conjecture
The eld of Topology was born out of the realisation that in some fundamentalsense, a sphere and an ellipsoid resemble each other but di er from a torus { thesurface of a rubber tube (or a doughnut).
The Mathematical Career of Pierre de Fermat
  • R. North
  • Mathematics
    The Mathematical Gazette
  • 1974
Fisher begins by sketching his achievements and denigrating those of Karl Pearson, who died 20 years before the first edition appeared. He then reviews the work of Bayes and Laplace in scientific
Ricci Flow and the Poincare Conjecture
Background from Riemannian geometry and Ricci flow: Preliminaries from Riemannian geometry Manifolds of non-negative curvature Basics of Ricci flow The maximum principle Convergence results for Ricci
Sur quelques formules relatives la thorie des courbes double courbure
  • J. Math. Pures Appl., 16:193–207,
  • 1851
The History of Mathematics
In the figure above, AA′ is a side of a 2-gon circumscribed about the circle. CC ′ is a side of a 2-gon, BC and B′C ′ are half of such sides. Consider the segment ABM. You want to prove that
Exercices de mathématiques, 4 vols. In Oeuvres complète d’Augustin Cauchy, Séries 2, Tome 6-9
  • Gauthier-Villars, Paris,
  • 1891