New answers tagged course-design
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There's a recent book by Nicholas A. Scoville: Discrete Morse Theory, AMS Student Mathematical Library, 2019.
Publisher's page: https://bookstore.ams.org/stml-90
MAA review: https://www.maa.org/press/maa-reviews/discrete-morse-theory
It looks very accessible to the undergraduate - some background in proof writing is recommended as is some linear algebra, but ...
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