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What do you think of Burke's Applied Differential Geometry ?
Haven't read it unfortunately. The table of contents shows a much more rapid treatment. When working outside of a university course, examples can be very useful. Anyone else read Burke?
I've read Burke. ADG is excellent, though it would be even better if it had more concrete examples. It's also very much aimed at physicists (assuming advanced undergraduate knowledge of mechanics, E&M, etc.) and has less emphasis on mathematical rigor than most differential geometry texts.
I actually helped Burke out with a follow-up to ADG called Div, Grad, Curl are Dead, which looked very promising with lots of examples, but tragically he died from injuries sustained in a car accident before it could be polished for publication.