a guided path from Maxwell's equations to Yang-Mills /
First Statement of Responsibility
Thomas A. Garrity, Williams College, Williamstown, Massachusetts ; with illustrations by Nicholas Neumann-Chun
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiv, 282 pages, 2 unnumbered pages of plates :
Other Physical Details
illustrations ;
Dimensions
24 cm
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 275-278) and index
SUMMARY OR ABSTRACT
Text of Note
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. Does not assume any knowledge of physics, and only basic undergraduate mathematics.--Publisher website
PARALLEL TITLE PROPER
Parallel Title
Guided path from Maxwell's equations to Yang-Mills