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Discrete Structures [pdf]

62 points| mathgenius | 13 days ago |kyleormsby.github.io

5 comments

order

nxobject|13 days ago

The first author is well known for teaching "wild ride" undergraduate classes where he compensates by spending a lot of time on their pedagogy.

He once taught an open to all freshman knot theory elective:

https://people.reed.edu/~ormsbyk/138/

I also remember taking a class on vector calculus from the same author... which detoured through rudimentary manifold theory and differential forms, and ended with a final week on de Rham cohomology and the Mayer-Vietoris theorem (on vector spaces, to be fair, and not modules in general.)

(And is a very fine K-theorist, too, if I say so myself.)

bmitc|12 days ago

> I also remember taking a class on vector calculus from the same author... which detoured through rudimentary manifold theory and differential forms, and ended with a final week on de Rham cohomology and the Mayer-Vietoris theorem (on vector spaces, to be fair, and not modules in general.)

Any available references for that that you know of?

JadeNB|12 days ago

Wait, I know Mayer–Vietoris as a tool for computing homology. What does it mean to compute it on vector spaces or on modules?

abeppu|12 days ago

So, just from the contents ... does anything make this especially different from other discrete math books?