Recent content by homeomorphism

I actually have pretty good experience with one-var Calc (through AP classes and Michael Spivak's Calculus). I am only familiar with multivariable application, but I don't know the deep aspects: such as how and why Fubini's theorem works and where Riemann fails and Lebesgue works, etc. if...

I guess I'm a little confused! :confused: So do I need to study: 1. Linear Algebra, 2. Multivariable, 3. And then I would be ready for Spivak's Differential Geometry Someone earlier mentioned something in diff. eqs... do I need that too? What books do you recommend for whatever...

Do I still need linear algebra?

Isn't Apostol mostly just one-variable? I am not so sure about Apostol's Calculus, but I think Spivak very rigorously covered a lot about one-variable calculus.

I completed a study of Michael Spivak's Calculus recently. If I want to broaden my mathematics knowledge to the point where I can take a rigorous differential geometry course at a nearby university (I think they are using a differential geometry book also by Spivak), what should I do over the...