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YouTube

Seminar - Some Fundamental Formulas from Metrical Algebraic Geometry

Insights into Mathematics via YouTube

Overview

Explore fundamental formulas in metrical algebraic geometry through this 50-minute seminar presented by N J Wildberger at the School of Mathematics and Statistics, UNSW. Delve into elementary yet powerful formulas in the affine setting, connecting to classical theorems by Heron, Brahmagupta, and Ptolemy, as well as David Robbins' modern discovery on cyclic pentagon areas. Gain insights into these results within a general framework, applicable across various fields and quadratic forms. Cover topics including the affine one-dimensional case, quadratic equations, cyclic quadrilaterals, algebraic geometry, Brahma Gupta's formula, and David Robbins' formula.

Syllabus

Introduction
Affine onedimensional case
Quadratic equations
Cyclic quadrilateral
Algebraic geometry
Brahma Guptas formula
David Robbins formula

Taught by

Insights into Mathematics

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