David Bachman
Published 2003-06-11, updated 2012-01-09Version 2
This is a draft of a textbook on differential forms. The primary target audience is sophmore level undergraduates enrolled in what would traditionally be a course in vector calculus. Later chapters will be of interest to advaced undergraduate and beginning graduate students. Applications include brief introductions to Maxwell's equations, foliations and contact structures, and DeRham cohomology.
Comments: The existing arxiv version is an old draft. This book is currently in its second edition with Birkhauser. For the current edition the old material has been revised, and much new material has been added
Journal: Birkhauser, 2006. ISBN: 0-8176-4499-7
Plato's cave and differential forms
Involutions of spherical 3-manifolds
On $L^p$ inequality for differential forms and $L^p$ cohomology of a semialgebraic set for $p>>1$
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