This semester, I will be taking a senior undergrad course in advanced calculus "real analysis of several variables", and we will be covering topics like:
-Differentiability.
-Open mapping theorem.
-Implicit function theorem.
-Lagrange multipliers. Submanifolds.
-Integrals.
-Integration on surfaces.
-Stokes theorem, Gauss theorem.
I need to know if anyone of you guys know good textbooks that contain practice problems with full solutions or hints that can be used to understand the material. Most of the textbooks I found are covering only the material with few examples.
Best Answer
I like C.H. Edwards, "Advanced Calculus of Several Variables." It's cheap and contains many exercises and examples.