**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

**Discrete Differential Geometry: An Applied Introduction**

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).

(

**13324**views)

**Manifolds: Current Research Areas**

by

**Paul Bracken (ed.)**-

**InTech**

Differential geometry is a very active field of research and has many applications to areas such as physics and gravity, for example. The papers in this book cover a number of subjects which will be of interest to workers in these areas.

(

**5057**views)

**Tight and Taut Submanifolds**

by

**Thomas E. Cecil, Shiing-shen Chern**-

**Cambridge University Press**

Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.

(

**10543**views)

**Cusps of Gauss Mappings**

by

**Thomas Banchoff, Terence Gaffney, Clint McCrory**-

**Pitman Advanced Pub. Program**

Gauss mappings of plane curves, Gauss mappings of surfaces, characterizations of Gaussian cusps, singularities of families of mappings, projections to lines, focal and parallel surfaces, projections to planes, singularities and extrinsic geometry.

(

**14383**views)