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Electricity and Magnetism for Mathematicians

Name: Electricity and Magnetism for Mathematicians
Brand: Cambridge University Press
SKU: 08020653
Price: 21148 HUF
Availability: InStock
Author: Thomas A. Garrity
ISBN: 9781107435162

A Guided Path from Maxwell's Equations to Yang–Mills

Thomas A. Garrity

Language

English

Book Paperback

Libristo code: 08020653

Publishers Cambridge University Press, January 2015

This text is an introduction to some of the mathematical wonders of Maxwell's equations. These equat... Full description

Libristo code: 08020653

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21 148 Ft

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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.