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| 009 | 224464531 | ||
| 003 | http://www.sudoc.fr/224464531 | ||
| 005 | 20250630092457.0 | ||
| 010 | _a9781107078208 | ||
| 010 | _a1-107-07820-2 | ||
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| 181 |
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| 182 |
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| 182 | 1 |
_6z01 _an |
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| 183 | 1 |
_6z01 _anga _2RDAfrCarrier |
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| 200 | 1 |
_aElectricity and magnetism for mathematicians _ea guided path from Maxwell's equations to Yang-Mills _fThomas A. Garrity, Williams College, Williamstown, Massachusetts _gwith illustrations by Nicholas Neumann-Chun |
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| 214 | 0 |
_aNew York _cCambridge University Press _d2015 |
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| 215 |
_a1 vol. (XIV-282 pages) _cillustrations _d24 cm |
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| 320 | _aRéf. bibliographiques pages 275-278. Index | ||
| 327 | 1 |
_aA brief history _aMaxwell's equations _aElectromagnetic waves _aSpecial relativity _aMechanics and Maxwell's equations _aMechanics, Lagrangians, and the calculus of variations _aPotentials _aLagrangians and electromagnetic forces _aDifferential forms _aThe Hodge [star] operator _aThe electromagnetic two-form _aSome mathematics needed for quantum mechanics _aSome quantum mechanical thinking _aQuantum mechanics of harmonic oscillators _aQuantizing Maxwell's equations _aManifolds _aVector bundles _aConnections _aCurvature _aMaxwell via connections and curvature _aThe Lagrangian machine, Yang–Mills, and other forces |
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| 330 | _aThis 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. Does not assume any knowledge of physics, and only basic undergraduate mathematics.--Publisher website | ||
| 606 |
_aElectromagnetic theory _xMathematics _xTextbooks _2lc |
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| 606 |
_3027233030 _aÉlectromagnétisme _2rameau |
||
| 606 |
_3031719236 _aGéométrie différentielle globale _2rameau |
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| 606 |
_302739087X _aAnalyse globale (mathématiques) _2rameau |
||
| 606 |
_302731569X _aThéorie quantique _2rameau |
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| 606 |
_aElectromagnetic theory _xMathematics _xTextbooks _2lc |
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| 608 |
_303020934X _aManuels d'enseignement supérieur _2rameau |
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| 676 |
_a537.01/51 _v23 |
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| 680 |
_aQC670 _b.G376 2015 |
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| 700 | 1 |
_314639304X _aGarrity _bThomas A. _f1959-.... _4070 |
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| 702 | 1 |
_3224499270 _aNeumann-Chun _bNicholas _4440 |
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