NPTEL : NOC:Our Mathematical Senses (Mathematics)

Co-ordinators : Prof. Vijay Ravikumar


Lecture 1 - Why do the images of parallel lines converge?

Lecture 2 - The power of vanishing points

Lecture 3 - Bonus material: Perspective in visual art

Lecture 4 - Understanding Points at Infinity

Lecture 5 - The Extended Euclidean Plane

Lecture 6 - Harmonic tetrads

Lecture 7 - Perspective Drawing as a Perspectivity

Lecture 8 - Perspectivities of the Extended Euclidean Plane

Lecture 9 - Projectivities

Lecture 10 - Projectivities as Functions on the Real Numbers

Lecture 11 - Proving Pappus's Theorem

Lecture 12 - The Fundamental Theorem of Projective Geometry

Lecture 13 - The Cross Ratio

Lecture 14 - Applications of the Cross Ratio

Lecture 15 - The Real Projective Plane

Lecture 16 - Transformations of the Real Projective Plane