**Differential Geometry in Physics**

by Gabriel Lugo

**Publisher**: University of North Carolina at Wilmington 2006**Number of pages**: 61

**Description**:

These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate, first year graduate level, which the author has taught for several years. There are many excellent texts in Differential Geometry but very few have an early introduction to differential forms and their applications to Physics. It is the purpose of these notes to bridge some of these gaps and thus help the student get a more profound understanding of the concepts involved.

Download or read it online for free here:

**Download link**

(340KB, PDF)

## Similar books

**The Geometrization of Physics**

by

**Richard S. Palais**-

**University of California at Irvine**

The major goal of these notes is to develop an observation that not only can gauge fields of the Yang-Mills type be unified with the Einstein model of gravitation, but also that when this unification is made they are described by pure geometry.

(

**12864**views)

**An Introduction to Noncommutative Spaces and their Geometry**

by

**Giovanni Landi**-

**arXiv**

These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists.

(

**12661**views)

**Noncommutative Geometry**

by

**Alain Connes**-

**Academic Press**

The definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics. Ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics.

(

**13747**views)

**Geometry and Topology in Electronic Structure Theory**

by

**Raffaele Resta**-

**University of Trieste**

From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.

(

**11471**views)