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The Series Finale of Online Education: Coursera Acquires Udemy

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Projective Geometry

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Projective Geometry Courses and Certifications

Explore the foundations of projective geometry, including concepts like duality, cross ratio, and projective transformations. Learn to apply projective homogeneous coordinates and analyze isometry groups through engaging video lessons on YouTube. Ideal for beginners interested in the geometric principles behind perspective and rational geometry.

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Insights into Mathematics
Projective Geometry - Math History - NJ Wildberger

Explore the origins and development of projective geometry, from Pappus to Desargues and Pascal, and its fundamental role in mathematics and 3D space understanding.
- YouTube
- 1 hour 10 minutes
- On-Demand
- Free Video
Insights into Mathematics
Duality, Polarity and Projective Linear Algebra in Differential Geometry - Lecture 10

Explore projective geometry's impact on differential geometry, focusing on conics, projective linear algebra, and duality between points and lines in the projective plane.
- YouTube
- 37 minutes
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- Free Video
Insights into Mathematics
Projective View of Conics and Quadrics - Differential Geometry Lecture 9

Explore projective geometry's application to conics and quadrics, using homogeneous coordinates to unify the study of algebraic curves and surfaces in plane and space.
- YouTube
- 39 minutes
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- Free Video
Insights into Mathematics
The Circle and Projective Homogeneous Coordinates - Universal Hyperbolic Geometry Lecture 7a

Introduction to projective geometry and its relation to universal hyperbolic geometry, exploring concepts like affine spaces, perspective, and one-dimensional projective geometry.
- YouTube
- 38 minutes
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- Free Video
Insights into Mathematics
Pappus' Theorem and Cross Ratio in Projective Geometry - Universal Hyperbolic Geometry 3

Explore Pappus' theorem, cross ratio, and key projective geometry concepts. Learn about invariance, transformations, and applications in hyperbolic geometry through theorems and exercises.
- YouTube
- 22 minutes
- On-Demand
- Free Video
Algebraic Curves - Introduction to Projective Geometry - Lecture 1

Dive into projective geometry fundamentals including projective and affine spaces, homogeneous coordinates, and geometric proofs in this Oxford mathematics lecture.
- YouTube
- 52 minutes
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Insights into Mathematics
Perspective Image of a Square - More Projective Geometry - Lecture 18b

Explore advanced projective geometry concepts, including perspective images, vanishing points, and Desargues' theorem, with applications in 2D and 3D space.
- YouTube
- 29 minutes
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Insights into Mathematics
Isometry Groups of the Projective Line - Rational Geometry Math Foundations 138

Explore isometry groups of the projective line, focusing on rotations and reflections. Learn about symmetry, group theory, and their algebraic relationships in a concrete, accessible way.
- YouTube
- 34 minutes
- On-Demand
- Free Video
Insights into Mathematics
Algebraic Structure on the Euclidean Projective Line - Rational Geometry Math Foundations 137

Explores algebraic structure on the Euclidean projective line, covering projective formulas, isometries, rotations, and their compositions. Connects to chaos theory and complex number multiplication.
- YouTube
- 41 minutes
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Insights into Mathematics
The Circle and Projective Homogeneous Coordinates in Universal Hyperbolic Geometry - Lecture 7b

Explores projective geometry as the foundation of universal hyperbolic geometry, focusing on the circle in projective homogeneous coordinates and its significance in mathematics and physics.
- YouTube
- 24 minutes
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Insights into Mathematics
Affine and Projective Geometry, and the Problem of Lines

Explore affine and projective geometry, focusing on points, vector spaces, and lines in 2D. Learn to solve geometric problems using projective coordinates and understand curve representation.
- YouTube
- 51 minutes
- On-Demand
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Insights into Mathematics
The Projective Quadruple Quad Formula - Rational Geometry Math Foundations

Explore the projective Quadruple quad formula and its connection to cyclic quadrilateral geometry, advancing beyond classical trigonometry to a more powerful approach applicable to general fields.
- YouTube
- 31 minutes
- On-Demand
- Free Video
Insights into Mathematics
Isometry Groups of the Projective Line III - Rational Geometry Math Foundations

Exploring relativistic geometry in one dimension, extending projective geometry to incorporate Einstein's special theory of relativity and its impact on physics and mathematics.
- YouTube
- 31 minutes
- On-Demand
- Free Video
Insights into Mathematics
Isometry Groups of the Projective Line - Rational Geometry Math Foundations

Exploring finite field geometry: isometries, rotations, and reflections on the projective line, revealing connections to relativistic geometry and offering a new perspective on Euclidean concepts.
- YouTube
- 35 minutes
- On-Demand
- Free Video
Insights into Mathematics
The Projective Triple Quad Formula - Rational Geometry Math Foundations

Explores the projective Triple Quad Formula in rational geometry, relating three projective quadrances formed by projective 1-points. Highlights similarities to the Triple spread formula and its mathematical significance.
- YouTube
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