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In New York State, Regents Examinations are statewide standardized examinations in core high school subjects. Students were required to pass these exams to earn a Regents Diploma. To graduate, students are required to have earned appropriate credits in a number of specific subjects by passing year-long or half-year courses, after which they ...
Math A/B served as a bridge between the Math A and Math B courses. Math A/B stayed true to its geometric roots, as the first half of the course covered topics such as perpendicular and parallel lines, triangles, quadrilaterals, and transformations. After their first semester, students took the New York State Math A Regents exam. June 2008 was ...
Jean-Victor Poncelet (1788–1867) – projective geometry. Augustin-Louis Cauchy (1789–1857) August Ferdinand Möbius (1790–1868) – Euclidean geometry. Nikolai Ivanovich Lobachevsky (1792–1856) – hyperbolic geometry, a non-Euclidean geometry. Michel Chasles (1793–1880) – projective geometry.
Abu Simbel is an historic site comprising two massive rock-cut temples in the village of Abu Simbel (Arabic: أبو سمبل), Aswan Governorate, Upper Egypt, near the border with Sudan.
Karen Keskulla Uhlenbeck ForMemRS (born August 24, 1942) is an American mathematician and one of the founders of modern geometric analysis. She is a professor emeritus of mathematics at the University of Texas at Austin, where she held the Sid W. Richardson Foundation Regents Chair.
The geometry and topology of three-manifolds is a set of widely circulated but unpublished notes for a graduate course taught at Princeton University by William Thurston from 1978 to 1980 describing his work on 3-manifolds. The notes introduced several new ideas into geometric topology, including orbifolds, pleated manifolds, and train tracks .
In mathematics, geometry and topology is an umbrella term for the historically distinct disciplines of geometry and topology, as general frameworks allow both disciplines to be manipulated uniformly, most visibly in local to global theorems in Riemannian geometry, and results like the Gauss–Bonnet theorem and Chern–Weil theory .
Foundations of Algebraic Geometry is a book by André Weil ( 1946, 1962) that develops algebraic geometry over fields of any characteristic. In particular it gives a careful treatment of intersection theory by defining the local intersection multiplicity of two subvarieties . Weil was motivated by the need for a rigorous theory of ...
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