NJ's Pizza Model for Organizing Geometry - Rational Geometry Math Foundations
Offered By: Insights into Mathematics via YouTube
Course Description
Overview
Explore a comprehensive approach to organizing metrical geometry in this 39-minute video lecture. Learn how to systematically categorize various mathematical geometries using a pizza-making analogy. Discover different types of geometries, basic orientations for description, and the importance of choosing a base number system. Delve into affine and projective geometry, and examine a hierarchy of interconnected geometries. Investigate specific examples such as the Euclidean plane, Lorentz (relativistic) plane, and elliptic geometry. Gain valuable insights into the structure and organization of geometric systems, enhancing your understanding of this fundamental mathematical field.
Syllabus
Intro to organizing geometry
Different kinds of geometries
Basic orientations for describing geometries
A base number system
Choose a type
Affine and projective geometry
A hierarchy of interconnected geometries
Euclidean plane
Lorentz relativistic plane
Elliptic geometry
Taught by
Insights into Mathematics
Related Courses
Calculus and Affine Geometry of the Magical Parabola - Algebraic Calc and DCB Curves 3 - Wild EggInsights into Mathematics via YouTube Affine and Projective Geometry, and the Problem of Lines
Insights into Mathematics via YouTube Isometry Groups in Planar Geometry - WildTrig: Intro to Rational Trigonometry - N J Wildberger
Insights into Mathematics via YouTube Seminar - Some Fundamental Formulas from Metrical Algebraic Geometry
Insights into Mathematics via YouTube Absolute Versus Relative Measurements in Geometry - Rational Geometry Math Foundations
Insights into Mathematics via YouTube