Abstract
The most successful developments in mathematical physics in Germany were the various derivations from fundamental principles of Michael Faraday’s electromagnetic induction law of 1831.
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Notes
Hoppe [1928], 553.
Smith & Wise [1989] 446, 661.
Whittaker[1951], 206.
Helmholtz [1882] Über die Erhaltung der Kraft. Eine physikalische Abhandlung, 12–75, 62.
Whittaker [1951], 218.
Hoppe [192]), 590–592; Whittaker [1951], 203.
Helmholtz [1882] Über die Theorie der Elektrodynamik, 634–645, 639.
«Die entstehenden und vergehenden Componenten dieser Polarisation wurden den Strom constituiren der durch das astatische Nadelpaar angezeigt wird» (Helmholtz [1882], 797). Thomson J.J. [1881] attributed the magnetic effect of moving electrostatic charges to the continuous alteration of the electric field in the surrounding medium, or, in the language of Maxwell, to the displacement current. Whittaker [1951], 306–307.
Helmholtz [1869] 429, 531.
Rosenfeld [1956] 1636–1637. D’Agostino [1996] 1–51.
Simpson [1966] 411–413, 416.
Maxwell [1954] Vol. 1, 451–452 (§ 326), 487–488 (§ 355).
Maxwell [1954] Vol.1, 438–440 (§ 790).
Maxwell [1954] Vol. 2, 139.
Susskind [1964] 32–42.
Whittaker [1951] 323.
Smith & Wise [1989] 455–457. As an evidence of the remarkable contrast between Thomson’s and Maxwell’s views on the propagation in wires, it is worthy to notice that Thomson opposed his telegraph theory to Maxwell’s equations as “measurable” is opposed to“ metaphysical”(Smith & Wise [1989] 454).
D’Agostino (1975] 273–276: Buchwald (1994) Appendix 13,“ Propagation in Helmholtz’s Electrodynamics”, 385–388. See also: letter from G.F. Fitzgerald to W. Thomson, April 25, 1885 (Smith & Wise [1989] 459).
Hertz, “From Herr Wilhelm von Bezold’s Paper: Researches on the Electric Discharge-Preliminary Communication”, in: Hertz [1962] 54–62, 55.
Maxwell [1954] Vol.2, 448–449.
Rosenfeld [1956] 1635.
Woodruff [1962] 439–459.
Heimann [1970] 171–213.
Bromberg [1967].
Helmholtz [1870]b).
Helmholtz [1870] a) 567. In this paper I use a modern vectorial notation throu ghout in place of the original coordinate notation. Here vectors are indicated by the x-component in the original text. The meaning of the symbols is indicated in eacch section separately.
Helmholtz [1870] a), 568.
Helmholtz [1870] a), 611–612.
Helmholtz [1870] a), 625.
Helmholtz [1870] a); Helmholtz [1881] 724–725.
Helmholtz [1870] a) 556.
Helmholtz [1870] a) 614.
Helmholtz [187]) a) 627.
Elkana [1970] 282. Among others, Elkana examines Helmholtz’s conception of the relation between force and matter.
Helmholtz [1870] a) 556–557.
Helmholtz [1881] 819–820.
Poincaré [1890] Chapter 5.
Duhem [1902] 225.
Rosenfeld [1956] 1665.
Koenigsberger [1965] 293.
Helmholtz [1982] 629–635, 629.
Helmholtz [1982] 634.
Helmholtz [1982] 774–790, 780.
Helmholtz [1982] 791–797, 791.
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D’Agostino, S. (2000). German Electrodynamics in the 1870’s. In: A History of the Ideas of Theoretical Physics. Boston Studies in the Philosophy of Science, vol 213. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9034-6_5
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