**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

**Introduction to Braided Geometry and q-Minkowski Space**

by

**Shahn Majid**-

**arXiv**

Systematic introduction to the geometry of linear braided spaces. These are versions of Rn in which the coordinates xi have braid-statistics described by an R-matrix. From this starting point we survey the author's braided-approach to q-deformation.

(

**5046**views)

**Topology and Physics: A Historical Essay**

by

**C. Nash**-

**arXiv**

In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.

(

**9130**views)

**Geometry in Physics**

by

**Alexander Altland**

Contents: Exterior Calculus (Exterior Algebra, Differential forms in Rn, Metric, Gauge theory); Manifolds (Basic structures, Tangent space); Lie groups (Lie group actions, Lie algebras, Lie algebra actions, From Lie algebras to Lie groups).

(

**7721**views)

**Lectures on the Geometry of Quantization**

by

**Sean Bates, Alan Weinstein**-

**University of California at Berkeley**

An introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics and that of quantum mechanics.

(

**8202**views)