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Lecture notes "Introduction to Category Theory and its Applications" (Computer Science Track)

Homeworks

Further reading material

Here is a non-exhaustive list of introductory books to Category Theory which encourage the perspective taken in this course. The list is given in increasing order of perceived difficulty for students.

Link Book Title & Author Perceived Difficulty
PDF Category Theory for Programmers (Milewski) 1
PDF (Recommended) Seven Sketches for Compositionality: An Invitation to Applied Category Theory (Fong-Spiwak) 2
PDF Introduction to Categories and Categorical Logic (Abramsky-Tzevelekos) 2
PDF (Recommended) Category Theory (Awodey) 3
PDF Basic Category Theory (Leinster) 3
PDF Categorical Logic (Pitts) 3
PDF Categorical Logic and Type Theory (Jacobs) 4

Other books:

Link Book Title & Author Perceived Difficulty
PDF Category Theory for the Sciences (Spiwak) 1
PDF An Introduction to String Diagrams for Computer Scientists 3
Category Theory for Computer Science (Barr-Wells) 3
Categories and Computer Science (Walters) 3

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Lecture notes for the "Introduction to Category Theory and its Applications" course 2025 (Track B - Computer Science) @ Tallinn University of Technology

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