Logo

Differential Geometry in Physics

Small book cover: Differential Geometry in Physics

Differential Geometry in Physics
by

Publisher: University of North Carolina at Wilmington
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.

Home page url

Download or read it online for free here:
Download link
(340KB, PDF)

Similar books

Book cover: Topology and Physics: A Historical EssayTopology and Physics: A Historical Essay
by - 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.
(15978 views)
Book cover: Lectures on complex geometry, Calabi-Yau manifolds and toric geometryLectures on complex geometry, Calabi-Yau manifolds and toric geometry
by - arXiv
These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds.
(11024 views)
Book cover: First Steps Towards a Symplectic DynamicsFirst Steps Towards a Symplectic Dynamics
by - arXiv
Both dynamical systems and symplectic geometry have rich theories and the time seems ripe to develop the common core with integrated ideas from both fields. We discuss problems which show how dynamical systems and symplectic ideas come together.
(13479 views)
Book cover: The Geometrization of PhysicsThe Geometrization of Physics
by - 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.
(14946 views)