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:
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"Hypergraph Theory: An Introduction": https://amzn.to/48WKqfy
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"Introduction to Graph Theory (Trudeau)": https://amzn.to/48ZWhtj
"Graph Theory (Diestel)": https://amzn.to/4aYCSdW
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Linear Algebra and Its Applications: https://amzn.to/48QsoMt
All the Math You Missed: https://amzn.to/3u5dORP
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