There exists a sequence of rectangles, Ri, i = 0, ..., N + 1 such that R0 = Q0, RN+1 = Q and Int Ri -intersect- Int Ri+1 is non-empty. (Figure by Prof. Victor Guillemin.)
Course Highlights
Course Description
This course continues from Analysis I (
18.100B), in the direction of manifolds and global analysis. The first half of the course covers multivariable calculus. The rest of the course covers the theory of differential forms in n-dimensional vector spaces and manifolds.