Received this yesterday (yes, the day of publication). Can't stop picking it up and browsing. REAL mathematics. My first university destroyed my interest in maths with a purist course - axioms, theorems, proofs - ground through painfully.<br>There is a chasm in differential geometry between the curves and surfaces level, then the differential forms level, which I have struggled to get over, even with Loring Tu's fine book on manifolds. Needham's text has masses of real examples which I believe will bridge this gap. I did not know I did not know so much!<br>Looks even better than Visual Complex Analysis.