Electricity and magnetism for mathematicians: a guided path from Maxwell's equations to Yang-Mills
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 descrip...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2015
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| Links: | https://doi.org/10.1017/CBO9781139939683 |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (xiv, 282 Seiten) |
| ISBN: | 9781139939683 |
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| spelling | Garrity, Thomas A. 1959- Electricity and magnetism for mathematicians a guided path from Maxwell's equations to Yang-Mills Thomas A. Garrity, Williams College, Williamstown, Massachusetts ; with illustrations by Nicholas Neumann-Chun Electricity & Magnetism for Mathematicians Cambridge Cambridge University Press 2015 1 Online-Ressource (xiv, 282 Seiten) txt c cr 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. Neumann-Chun, Nicholas Erscheint auch als Druck-Ausgabe 9781107078208 Erscheint auch als Druck-Ausgabe 9781107435162 |
| spellingShingle | Garrity, Thomas A. 1959- Electricity and magnetism for mathematicians a guided path from Maxwell's equations to Yang-Mills |
| title | Electricity and magnetism for mathematicians a guided path from Maxwell's equations to Yang-Mills |
| title_alt | Electricity & Magnetism for Mathematicians |
| title_auth | Electricity and magnetism for mathematicians a guided path from Maxwell's equations to Yang-Mills |
| title_exact_search | Electricity and magnetism for mathematicians a guided path from Maxwell's equations to Yang-Mills |
| title_full | Electricity and magnetism for mathematicians a guided path from Maxwell's equations to Yang-Mills Thomas A. Garrity, Williams College, Williamstown, Massachusetts ; with illustrations by Nicholas Neumann-Chun |
| title_fullStr | Electricity and magnetism for mathematicians a guided path from Maxwell's equations to Yang-Mills Thomas A. Garrity, Williams College, Williamstown, Massachusetts ; with illustrations by Nicholas Neumann-Chun |
| title_full_unstemmed | Electricity and magnetism for mathematicians a guided path from Maxwell's equations to Yang-Mills Thomas A. Garrity, Williams College, Williamstown, Massachusetts ; with illustrations by Nicholas Neumann-Chun |
| title_short | Electricity and magnetism for mathematicians |
| title_sort | electricity and magnetism for mathematicians a guided path from maxwell s equations to yang mills |
| title_sub | a guided path from Maxwell's equations to Yang-Mills |
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