A Tasty Combination: Multivariable Calculus and Differential Forms

Details A Tasty Combination: Multivariable Calculus and Differential Forms A Tasty Combination: Multivariable Calculus and Differential Forms

2009-09-30

arxiv.org/abs/0910.0047v1

Mathematics

Differential Geometry

15 pages, 4 figures

Scientific paper

Differential Calculus is a staple of the college mathematics major's diet. Eventually one becomes tired of the same routine, and wishes for a more diverse meal. The college math major may seek to generalize applications of the derivative that involve functions of more than one variable, and thus enjoy a course on Multivariate Calculus. We serve this article as a culinary guide to differentiating and integrating functions of more than one variable -- using differential forms which are the basis for de Rham Cohomology.

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