Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang–Mills - Couverture rigide

Garrity, Thomas A.

 
9781107078208: Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang–Mills
Couverture rigide
ISBN 10 : 1107078202 ISBN 13 : 9781107078208
Editeur : Cambridge University Press, 2015

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.

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À propos de l?auteur

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.

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Éditeur
Cambridge University Press
Date d'édition
2015
Langue
anglais
ISBN 10 
1107078202
ISBN 13 
9781107078208
Reliure
Relié
Nombre de pages
300
Coordonnées du fabricant
Cambridge University Press
https://www.cambridge.org/

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Pomezia
Italia
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Autres éditions populaires du même titre

9781107435162: Electricity and Magnetism for Mathematicians

Edition présentée

ISBN 10 :  1107435161 ISBN 13 :  9781107435162
Editeur : Cambridge University Press, 2015
Couverture souple