Analysis II

Image of a sequence of rectangles.

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.)

Instructor(s)

MIT Course Number

18.101

As Taught In

Fall 2005

Level

Undergraduate

Cite This Course

Course Features

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.

Guillemin, Victor. 18.101 Analysis II, Fall 2005. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-101-analysis-ii-fall-2005 (Accessed). License: Creative Commons BY-NC-SA


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