A Geometric Approach to Differential Forms by David Bachman
Publisher: arXiv 2003
ISBN/ASIN: 0817644997
Number of pages: 106
This is a draft of a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in what would traditionally be a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students. Applications include brief introductions to Maxwell's equations, foliations and contact structures, and DeRham cohomology.
Mathematics Geometry & Topology Differential Geometry Topology Geometric