Wow thanks for taking the time to make these posts! Your explanation of the proof of inverse function theorem is particularly illuminating - couching it in terms of a geometric series is a very nice way of thinking about it. I'll certainly be using Spivak where possible given your...
I have looked at Spivak's book and do intend to work through it for myself in my spare time. As a course supplement the material on differentiation seems to fit my needs well but the section on integration is more sophisticated than our treatment of it. A book containing material on manifolds...
Hi there all,
I'm currently taking a course in Multivariable Calculus at my University and would appreciate any recommendations for a textbook to supplement the lectures with. Thus far the relevant material we've covered in a Single Variable course at around the level of Spivak and some Linear...