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Advanced Engineering Mathematics

San Diego San Francisco New York BostonLondon Toronto Sydney TokyoAlan JeffreyUniversity of Newcastle-upon-TyneSponsoring EditorBarbara HollandProduction EditorJulie BolducPromotions ManagerStephanie StevensCover DesignMonty Lewis DesignText DesignThompson Steele Production ServicesFront Matter DesignPerspectivesCopyeditorKristin LandonCompositionTechBooksPrinterRR Donnelley & Sons, book is printed on acid-free paper. CopyrightC 2002 by HARCOURT/ACADEMIC PRESSAll rights part of this publication may be reproduced or transmitted in any form or by anymeans, electronic or mechanical, including photocopy, recording, or any informationstorage and retrieval system, without permission in writing from the for permission to make copies of any part of the work should be mailed to:Permissions Department, Harcourt, Inc.

18.9 The D’Alembert Solution of the Wave Equation and Applications 981 18.10 Separation of Variables 988 18.11 Some General Results for the Heat and Laplace Equation 1025 18.12 An Introduction to Laplace and Fourier Transform Methods for PDEs 1030 PART EIGHT NUMERICAL MATHEMATICS 1043 CHAPTER19 Numerical Mathematics 1045

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