A Geometric Approach to Differential Forms
by David Bachman
Publisher: arXiv 2003
ISBN/ASIN: 0817644997
Number of pages: 106
Description:
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.
Download or read it online for free here:
Download link
(680KB, PDF)
Similar books
![Book cover: Notes on Symmetric Spaces](images/8263.jpg)
by Jonathan Holland, Bogdan Ion - arXiv
Contents: Affine connections and transformations; Symmetric spaces; Orthogonal symmetric Lie algebras; Examples; Noncompact symmetric spaces; Compact semisimple Lie groups; Hermitian symmetric spaces; Classification of real simple Lie algebras.
(9802 views)
![Book cover: Advances in Discrete Differential Geometry](images/11321.jpg)
by Alexander I. Bobenko (ed.) - Springer
This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics.
(8979 views)
![Book cover: Discrete Differential Geometry: An Applied Introduction](images/5475.jpg)
by M. Desbrun, P. Schroeder, M. Wardetzky - Columbia University
This new and elegant area of mathematics has exciting applications, as this text demonstrates by presenting practical examples in geometry processing (surface fairing, parameterization, and remeshing) and simulation (of cloth, shells, rods, fluids).
(15357 views)
![Book cover: Noncompact Harmonic Manifolds](images/8629.jpg)
by Gerhard Knieper, Norbert Peyerimhoff - arXiv
We provide a survey on recent results on noncompact simply connected harmonic manifolds, and we also prove many new results, both for general noncompact harmonic manifolds and for noncompact harmonic manifolds with purely exponential volume growth.
(7845 views)