These lectures represent a pioneering investigation by the author. Basing his research on prior studies by Riemann, Kirchhoff, and Volterra, he extends and improves Volterra's work, applying its theories relating to spherical and cylindrical waves to all normal hyperbolic equations. Topics include the general properties of Cauchy's problem, the fundamental formula and the elementary solution, more. 1923 edition. Unabridged reprint of the 1923 edition.
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