Electricity and magnetism for mathematicians : a guided path from Maxwell's equations to Yang-Mills / Thomas A. Garrity, Williams College, Williamstown, Massachusetts ; with illustrations by Nicholas Neumann-Chun.

Format:

Book

Author/Creator:

Garrity, Thomas A., 1959- author.

Contributor:

Neumann-Chun, Nicholas, illustrator.

Series:

Cambridge books online.

Language:

English

Subjects (All):

Electromagnetic theory--Mathematics--Textbooks.

Electromagnetic theory.

Electromagnetic theory--Mathematics.

Genre:

Textbooks.

Physical Description:

1 online resource (xiv, 282 pages) : digital, PDF file(s)

Other Title:

Electricity & Magnetism for Mathematicians

Place of Publication:

Cambridge : Cambridge University Press, 2015.

System Details:

text file

PDF

Summary:

This text is an introduction to some of the mathematical wonders of Maxwell's equations. These equations led to the prediction of radio waves, the realization that light is a type of electromagnetic wave, and the discovery of the special theory of relativity. In fact, almost all current descriptions of the fundamental laws of the universe can be viewed as deep generalizations of Maxwell's equations. Even more surprising is that these equations and their generalizations have led to some of the most important mathematical discoveries of the past thirty years. It seems that the mathematics behind Maxwell's equations is endless. The goal of this book is to explain to mathematicians the underlying physics behind electricity and magnetism and to show their connections to mathematics. Starting with Maxwell's equations, the reader is led to such topics as the special theory of relativity, differential forms, quantum mechanics, manifolds, tangent bundles, connections, and curvature.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Other Format:

Print version:

ISBN:

9781139939683

Access Restriction:

Restricted for use by site license.