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by Jacques Hadamard
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ISBN: 0486495493 Dover Publications Price: $52.50 |
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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.
Table of Contents for Lectures on Cauchy's Problem in Linear Partial Differential Equations
| Preface | |||||||
| 1. General Properties of Cauchy's Problem | |||||||
| 2. The Fundamental Formula and the Elementary Solution | |||||||
| 3. The Equations with an Odd Number of Independent Variables | |||||||
| 4. The Equations with an Even Number of Independent Variables and the Method of Descent |