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18.S097

Special Subject in Mathematics

Units arranged · Undergraduate

Opportunity for group study of subjects in mathematics not otherwise included in the curriculum. Offerings are initiated by members of the Mathematics faculty on an ad hoc basis, subject to departmental approval. 18.S097 is graded P/D/F.

January IAP 2019 · Applied Category Theory

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.

Readings

  • This course is based on the following textbook, with two lectures on each chapter:
    Listed reading
  • Fong, B. and D. I. Spivak. An Invitation to Applied Category Theory: Seven Sketches in Compositionality . Cambridge University Press, 2019. ISBN: 9781108482295.
    Listed reading

Prerequisites & course information

Prereq: Permission of instructor U (IAP) Units arranged Can be repeated for credit.

Sources