From the Biot-Savart Law to Ampere's Magnetic Circuital Law via Synthetic Differential Geometry

zbMath1320.78006arXiv1401.1561MaRDI QIDQ5498828

Hirokazu Nishimura

Publication date: 11 February 2015

Full work available at URL: https://arxiv.org/abs/1401.1561

zbMATH Keywords

synthetic differential geometryCoulomb's lawBiot-Savart lawvector calculusclassical electromagnetismAmpère's magnetic circuital law

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Synthetic differential geometry (51K10) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02)

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