MIT course on applied category theory
This is probably the best resource to learn (applied) category theory from a mathematics point of view.
- MIT OpenCourseWare site on “Applied Category Theory”
- Fong and Spivak (2018): Seven Sketches in Compositionality: An Invitation to Applied Category Theory. arXiv:1803.05316
Physics/physical world application of category theory
Category Theory for Programmers by Bartoz Milewski
I hope you love Haskell ;).
Playground for learning category theory with Julia
Other resources
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Cheng (2017): Category Theory in Life. https://www.youtube.com/watch?v=ho7oagHeqNc