**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

**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.

(

**7152**views)

**The Convenient Setting of Global Analysis**

by

**Andreas Kriegl, Peter W. Michor**-

**American Mathematical Society**

This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory.

(

**9345**views)

**Combinatorial Geometry with Application to Field Theory**

by

**Linfan Mao**-

**InfoQuest**

Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.

(

**10222**views)

**Synthetic Differential Geometry**

by

**Anders Kock**-

**Cambridge University Press**

Synthetic differential geometry is a method of reasoning in differential geometry and calculus. This book is the second edition of Anders Kock's classical text, many notes have been included commenting on new developments.

(

**8754**views)