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ISBN 10: 1258812142 ISBN 13: 9781258812140
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ISBN 10: 048643804X ISBN 13: 9780486438047
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ISBN 10: 1258808889 ISBN 13: 9781258808884
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Published by Interscience Publishers, [1955]., New York:, 1955
Seller: Zephyr Used & Rare Books, Vancouver, WA, U.S.A.
First Edition
8vo. viii, 172 pp. Photo. Gray boards, red lettrng (mnr rubbng, slght bmpng hd & ft of spine, ex-lib stmp on title), still nice copy from library of mathematician & physicist John A. Simmons. First edition of vol. II in the Pure and Applied mathematics series.
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Published by Interscience Publishers, 1955
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Add to basketCondition: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:
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Add to basketPaperback. Condition: Brand New. 180 pages. 9.25x6.10x0.42 inches. In Stock.
Published by Springer New York, Springer New York, 1981
ISBN 10: 0387905650 ISBN 13: 9780387905655
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The author would like to acknowledge his obligation to all his (;Olleagues and friends at the Institute of Mathematical Sciences of New York University for their stimulation and criticism which have contributed to the writing of this tract. The author also wishes to thank Aughtum S. Howard for permission to include results from her unpublished dissertation, Larkin Joyner for drawing the figures, Interscience Publishers for their cooperation and support, and particularly Lipman Bers, who suggested the publication in its present form. New Rochelle FRITZ JOHN September, 1955 [v] CONTENTS Introduction. . . . . . . 1 CHAPTER I Decomposition of an Arbitrary Function into Plane Waves Explanation of notation . . . . . . . . . . . . . . . 7 The spherical mean of a function of a single coordinate. 7 9 Representation of a function by its plane integrals . CHAPTER II Tbe Initial Value Problem for Hyperbolic Homogeneous Equations with Constant Coefficients Hyperbolic equations. . . . . . . . . . . . . . . . . . . . . . 15 Geometry of the normal surface for a strictly hyperbolic equation. 16 Solution of the Cauchy problem for a strictly hyperbolic equation . 20 Expression of the kernel by an integral over the normal surface. 23 The domain of dependence . . . . . . . . . . . . . . . . . . . 29 The wave equation . . . . . . . . . . . . . . . . . . . . . . 32 The initial value problem for hyperbolic equations with a normal surface having multiple points . . . . . . . . . . . . . . . . . . . . 36 CHAPTER III The Fundamental Solution of a Linear Elliptic Differential Equation witL Analytic Coefficients Definition of a fundamental solution . . . . . . . . . . . . . . 43 The Cauchy problem . . . . . . . . . . . . . . . . . . . . . 45 Solution of the inhomogeneous equation with a plane wavefunction as right hand side . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 The fundamental solution. . . . . . . . . . . . . . . . . . . . . .
Published by NY/London: Interscience Publ. 1955., 1955
Seller: de Wit Books, HUTCHINSON, KS, U.S.A.
G+, unmarked Hardback; no DJ. [Intersc. Tracts in Pure & Appl. Math, #2] viii + 172 pp.