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OER Matters

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Keywords: differential forms

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Analysis II, Fall 2004

Rating:
Type: Course Related Materials
Subject: Mathematics and Statistics
Collection: MIT OpenCourseWare
Grade Level: Post-secondary

Abstract: Continues 18.100, in the direction of manifolds and global analysis. Differentiable maps, inverse and implicit function theorems, n-dimensional Riemann integral, change of variables in multiple integrals, manifolds, differential forms, n-dimensional version of Stokes' theorem. 18.901 helpful but not ... More »

Analysis II, Fall 2005

Rating:
Type: Course Related Materials
Subject: Mathematics and Statistics
Collection: MIT OpenCourseWare
Grade Level: Post-secondary

Abstract: Continues 18.100, in the direction of manifolds and global analysis. Differentiable maps, inverse and implicit function theorems, n-dimensional Riemann integral, change of variables in multiple integrals, manifolds, differential forms, n-dimensional version of Stokes' theorem. 18.901 helpful but not ... More »

Geometry of Manifolds, Spring 2007

Rating:
Type: Course Related Materials
Subject: Mathematics and Statistics
Collection: MIT OpenCourseWare
Grade Level: Post-secondary

Abstract: This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of symplectic manifolds, but the material also includes long digressions into complex geometry and the geometry of 4-manifolds, with special emphasis on topological considerations.