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Oliver Heaviside (1850-1925), the self-taught physicist and electrical engineer, began his career as an operator on the newly laid Anglo-Danish telegraph cable in 1868. The most advanced electrical technology of the time, the cable system inspired several of his early mathematical papers. This monograph, first published as a paper in the Philosophical Magazine in 1888, then as a book in 1889, draws on his established work on telegraphic propagation and self-inductance, and on Maxwell's field theory. In a fascinating insight into the contemporary scientific community, he complains that these subjects are still often misunderstood, and explains his formulae afresh from several angles. Also covered - and frequently questioned - are contemporary theories of permittivity, the speed of electromagnetic waves, and the dielectric properties of conductors. Heaviside's Electrical Papers (2 volumes, 1892) and his Electromagnetic Theory (3 volumes, 1893-1912) have also been reissued in this series.