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Lectures on Cauchy's Problem: In Linear Partial Differential Equations (Dover Phoenix Editions)

by Jacques Hadamard

Lectures on Cauchy's Problem: In Linear Partial Differential Equations (Dover Phoenix Editions) Cover

ISBN13: 9780486495491
ISBN10: 0486495493
All Product Details

Only 1 left in stock at $52.50!

Synopses & Reviews

Publisher Comments:

"Would well repay study by most theoretical physicists."--Physics Today

"An overwhelming influence on subsequent work on the wave equation."--Science Progress

"One of the classical treatises on hyperbolic equations."--Royal Naval Scientific Service

Delivered at Columbia University and the Universities of Rome and Zürich, these lectures represent a pioneering investigation. Jacques Hadamard based his research on prior studies by Riemann, Kirchhoff, and Volterra. He extended and improved Volterra's 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 Cauchy's 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. 1923 ed.

Synopsis:

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.

Synopsis:

The author--basing his research on prior studies by Riemann, Kirchhoff, and Volterra--extends and improves volterra's work, applying its theories relating to spherical and cylindrical waves to all normal hyperbolic equations instead of only to one. Unbridged reprint of the 1923 edition.

Product Details

ISBN:
9780486495491
Subtitle:
In Linear Partial Differential Equations
Author:
Hadamard, Jacques
Publisher:
Dover Publications
Location:
Mineola, N.Y.
Subject:
General
Subject:
Differential Equations - Partial Differential Equations
Subject:
Differential equations, partial
Subject:
Differential equations, linear
Subject:
Cauchy problem.
Subject:
General Mathematics
Edition Description:
Includes bibliographical references and index.
Series:
Dover Phoenix Editions
Series Volume:
vol. 15, no. 7 (E)
Publication Date:
December 2003
Binding:
Hardcover
Language:
English
Illustrations:
Yes
Pages:
316
Dimensions:
8.82x5.70x.85 in. 1.08 lbs.

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