Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yangâ "Mills

Thomas A. Garrity

ISBN 10: 1107435161 / ISBN 13: 9781107435162

Published by Cambridge University Press January 2015, 2015

About this Item

used trade paperback edition. lightly shelfworn, corners perhaps slightly bumped. pages and binding are clean, straight and tight. there are no marks to the text or other serious flaws.

Seller Inventory # 1553884

Bibliographic Details

• Title: Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yangâ "Mills
• Publisher: Cambridge University Press January 2015
• Publication Date: 2015
• Language: English
• ISBN 10: 1107435161
• ISBN 13: 9781107435162
• Binding: Trade Paperback
• Condition: VG
• Seller catalogs:
  • MATH misc. and higher

About this title

Synopsis

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.

About the Author

Thomas A. Garrity is the William R. Kenan, Jr Professor of Mathematics at Williams College, where he was the director of the Williams College Project for Effective Teaching for many years. He has written a number of research papers and has authored or coauthored two other books, All the Mathematics You Missed (But Need to Know for Graduate School) and Algebraic Geometry: A Problem Solving Approach. Among his awards and honors is the MAA Deborah and Franklin Tepper Haimo Award for outstanding college or university teaching.