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.)


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Fall 2005



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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.

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Victor Guillemin. 18.101 Analysis II. Fall 2005. Massachusetts Institute of Technology: MIT OpenCourseWare, License: Creative Commons BY-NC-SA.

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