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Nov 2, 2011 at 14:19 comment added Mariano Suárez-Álvarez I envy you your average undergraduate, Steven!
Nov 2, 2011 at 14:15 comment added Steven Gubkin The advantage is that you see a lot more "honest theorems" than your standard undergrad analysis course. At least I felt like my undergrad analysis was basically repeating calculus, onyl with all the proofs this time (And my calculus course had all the proofs to start with!). So Calculus on Manifolds would at least show that there is more calculus to learn, and the algebra of differential forms would show how "algebra" can be very useful in a geometric/analytic context.
Nov 2, 2011 at 14:08 comment added Jon Bannon I love this book...but would the average undergraduate?
Nov 2, 2011 at 13:57 history answered Steven Gubkin CC BY-SA 3.0