So I took an analysis class which covered chapters 9 and 10 of Rudin's PMA, for those of you who don't know that's multivariable analysis and differential forms, and I have taken a course in vector calculus but never a proper course on differential geometry. Thus my introduction to the subject has been a bit backwards and short on both geometry and intuition.(adsbygoogle = window.adsbygoogle || []).push({});

Thus I was hopping you fine fellows could recommend me a good introductory book on differential geometry which is rigorous, but that will first discuss the geometry of curves and surfaces in R3 in terms of vector analysis, before moving on to differential forms, so that I can properly appreciate the motivation for such abstractions.

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# Introductory Differential Geometry Book With Lots of Intuition

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