Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang-Mills (Paperback) (ISBN-13: 9781107435162)

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.

Author: Thomas A. Garrity
ISBN-10: 1107435161
ISBN-13: 9781107435162
Publisher: Cambridge University Press
Language: English
Published: 01/19/2015
Pages: 294
Format: Paperback
Weight: 0.90lbs
Size: 8.90h x 5.90w x 0.80d