Lectures on Cauchys Problem in Linear Partial Differential Equations Jacques Hadamard

ISBN: 9780486781488

Published: August 25th 2014

ebook

320 pages


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Lectures on Cauchys Problem in Linear Partial Differential Equations  by  Jacques Hadamard

Lectures on Cauchys Problem in Linear Partial Differential Equations by Jacques Hadamard
August 25th 2014 | ebook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 320 pages | ISBN: 9780486781488 | 6.23 Mb

Would well repay study by most theoretical physicists. -- Physics TodayAn overwhelming influence on subsequent work on the wave equation. -- Science ProgressOne of the classical treatises on hyperbolic equations. -- Royal Naval ScientificMoreWould well repay study by most theoretical physicists. -- Physics TodayAn overwhelming influence on subsequent work on the wave equation. -- Science ProgressOne of the classical treatises on hyperbolic equations. -- Royal Naval Scientific ServiceDelivered at Columbia University and the Universities of Rome and Zurich, these lectures represent a pioneering investigation.

Jacques Hadamard based his research on prior studies by Riemann, Kirchhoff, and Volterra. He extended and improved Volterras work, applying its theories relating to spherical and cylindrical waves to all normal hyperbolic equations instead of only to one. Topics include the general properties of Cauchys problem, the fundamental formula and the elementary solution, equations with an odd number of independent variables, and equations with an even number of independent variables and the method of descent.



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