18.S097 | January IAP 2019 | Undergraduate

Applied Category Theory

Course Description

Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. But this …
Category theory is a relatively new branch of mathematics that has transformed much of pure math research. The technical advance is that category theory provides a framework in which to organize formal systems and by which to translate between them, allowing one to transfer knowledge from one field to another. But this same organizational framework also has many compelling examples outside of pure math. In this course, we will give seven sketches on real-world applications of category theory.
Learning Resource Types
Lecture Videos
Problem Sets
Online Textbook
Instructor Insights
One rectangle and 4 squares connected by lines and curves.
A signal flow graph with different types of signal processing units.