Electricity and Magnetism for Mathematicians

DOI10.1017/CBO9781139939683zbMath1337.78001OpenAlexW4230959080MaRDI QIDQ2930847

Thomas Garrity

Publication date: 20 November 2014

Full work available at URL: https://doi.org/10.1017/cbo9781139939683

zbMATH Keywords

wave equationEuler-Lagrange equationsconservation lawsmanifoldsdifferential formsvector bundlesHilbert spacesMaxwell's equationscurvaturecalculus of variationsLorentz contractionquantum mechanicsconnectionsspecial relativityMinkowski metricharmonic oscillatorCoulomb's lawNoether's theoremLorentz transformationgaugestensorspotentialsNewton's lawsHodge operatorYang-Mills equationstime dilationGalilean transformationphotoelectric effectSchwarz space

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05) Applications of differential geometry to physics (53Z05) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Special relativity (83A05) Differential forms in global analysis (58A10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory (81-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to optics and electromagnetic theory (78-01) Foundations in optics and electromagnetic theory (78A02)

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