Abstract
Duhem criticizes Hertz’s statement that “what is essential in the theories of Maxwell are his equations,” concluding with praise of Helmholtz’s “natural extension of the doctrines of Poisson, Ampère, Weber, and Neumann,” which “leads logically from the principles laid down at the beginning of the XIXth century to the most attractive consequences of Maxwell’s theories, from Coulomb’s laws to the electromagnetic theory of light; without losing any of the recent conquests of electrical science, it restores the continuity of the tradition.”
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Notes
- 1.
O. Heaviside . On the Electromagnetic Wave-Surface (Philosophical Magazine, 5\(\text {th}\) series vol. XIX, p. 397; 1885.— Heaviside ’s Electrical Papers, vol. II, p. 8).— On Electromagnetic Waves, Especially in Relation to the Vorticity of the Impressed Forces and the Forced Vibrations of Electromagnetic Systems (Philosophical Magazine, 5\(\text {th}\) series, vol. XXV, p. 130; 1888.—Electrical Papers, vol. II, p. 375).
- 2.
H. Hertz . Ueber die Grundgleichungen der Elektrodynamik für ruhende Körper (Wiedemann’s Annalen. Bd. XL, p. 577; 1890.—Untersuchungen über die Ausbreitung der elektrischen Kraft, p. 208; 1894).
- 3.
Cohn . Zur Systematik der Elektricitätslehre (Wiedemann’s Annalen, Bd. XL, p. 625; 1890).
- 4.
H. Hertz . Untersuchungen über die Ausbreitung der elektrischen Kraft: Einleitende Uebersicht [English translation: Hertz (1893)], p. 21.
- 5.
[H. Hertz . ibid. p. 21].
- 6.
H. Hertz , Abhandlungen über die Aushreitung der elektrischen Kraft . Einleitende Uebersicht, p. 23.
- 7.
L. Boltzmann , Vorlesungen über Maxwell ’s Theorie der Elektricität und des Lichtes. I \(^\textit{e}\) Theil: Ableitung der Grundgleichungen für ruhende, homogeneous, isotropic Körper.—II \(^\textit{e}\) Theil: Verhältniss zur Fernwirkungs-theory; specielle Fälle der Elektrostatik, stationaren Strömung und Induction. Leipzig, 1891–1893.
- 8.
Helmholtz . Ueber die Bewegungsgleichungen der Elektrodynamik für ruhende leitende Körper (Borchardt’s Journal für reine und angewandte Mathematik, Bd. LXXII, p. 57, 1870.—Wissenschaftliche Abhandlungen, Bd. I, p. 543).
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Duhem, P.M.M. (2015). Conclusion. In: The Electric Theories of J. Clerk Maxwell. Boston Studies in the Philosophy and History of Science, vol 314. Springer, Cham. https://doi.org/10.1007/978-3-319-18515-6_9
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