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Electricity and Magnetism for Mathematicians : A Guided Path from Maxwell's Equations to Yang-Mills
by Thomas A. Garrity


Overview - 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.  Read more...

 
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More About Electricity and Magnetism for Mathematicians by Thomas A. Garrity
 
 
 
Overview
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.

 
Details
  • ISBN-13: 9781107435162
  • ISBN-10: 1107435161
  • Publisher: Cambridge University Press
  • Publish Date: January 2015
  • Page Count: 294
  • Dimensions: 8.9 x 5.9 x 0.8 inches
  • Shipping Weight: 0.9 pounds


Related Categories

Books > Science > Physics - Mathematical & Computational
Books > Science > Physics - Electromagnetism

 
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