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Jan 3, 2010 at 18:26 comment added Ryan Budney I'd second Hubbard's book. He gives a very natural definition of the exterior derivative of a differential form, which is what it sounds like you're looking for Yuan. IMO it's a significant step-up compared to texts like Spivak or Bachman.
Jan 3, 2010 at 15:22 history answered Matt Noonan CC BY-SA 2.5