Introduction to Incidence Geometry

This video introduces incidence geometry, the study of incidence structures, with many examples. We cover incidence structures in their full generality, as well as contrast incidence geometry with other kinds of geometry. We discuss the matrix representations and pictorial representations of incidence structures, duality, and the relationship between incidence structures and graphs, specifically hypergraphs. Incidence geometry is a very rich subject, and if you would like to dive into this topic on your own, here are some excellent resources:

https://link.springer.com/book/10.100...

https://link.springer.com/book/10.100...

Recommended Books:
******************************* Hypergraph Theory *******************************
"Hypergraph Theory: An Introduction": https://amzn.to/48WKqfy

******************************* Graph Theory *******************************
"Introduction to Graph Theory (Trudeau)": https://amzn.to/48ZWhtj

"Graph Theory (Diestel)": https://amzn.to/4aYCSdW

******************************* Misc. Undergraduate Mathematics *******************************
Discrete Mathematics with Applications (Epp): https://amzn.to/4aWC1dM

A Book of Abstract Algebra (Pinter): https://amzn.to/3S2QmfV

Language, Proof and Logic: https://amzn.to/47EIZkE

Linear Algebra and Its Applications: https://amzn.to/48QsoMt

All the Math You Missed: https://amzn.to/3u5dORP

These are my Amazon Affiliate links. As an Amazon Associate I may earn commissions for purchases made through the links above.

#incidencegeometry
#geometry