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
Noncommutative Geometryby 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.
(8100 views)
Lectures on the Geometry of Quantizationby 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.
(7465 views)
Edinburgh Lectures on Geometry, Analysis and Physicsby Michael Atiyah - arXiv
These notes are based on a set of six lectures that the author gave in Edinburgh and they cover some topics in the interface between Geometry and Physics. They involve some unsolved problems and they may stimulate readers to investigate them.
(4830 views)
Geometry and Topology in Electronic Structure Theoryby 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.
(4883 views)