Numerical Methods in Engineering & Science
This book is designed for an introductory course in numerical methods for students of engineering and science at universities and colleges of advanced education. It is an outgrowth of a course of lectures and tutorials (problem solving sessions) which th
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Numerical Methodsin Engineering & Science Graham de Vahl Davis School of Mechanical and Industrial Engineering, University of New South Wales, Kensington, NSW, Australia 2033
CHAPMAN & HALL University and Professional Division
London· New York . Tokyo' Melbourne· Madras
Published by Chapman & Hall, ~ Boundary Row, London SE18HN Chapman & Hall, 2~ Boundary Row, London SE1 8HN, UK Van Nostrand Reinhold Inc, 115 5th Avenue, New York NY10003, USA Chapman & Hall Japan, Thomson Publishing Japan, Hirakawacho Nemoto Building, 7F, 1-7-11 Hirakawa-cho, Chiyoda-ku, Tokyo 102, Japan Chapman & Hall Australia, Thomas Nelson Australia, 102 Dodds Street, South Melbourne, Victoria 3205, Australia Chapman & Hall India, R. Seshadri, 32 Second Main Road, CIT East, Madras 600 035, India First published in 1986 by Allen & Unwin (Publishers) Ltd Reprinted 1991 by Chapman & Hall ISBN-13: 978-0-412-43880-6 e-ISBN-13: 978-94-011-6958-5 DOl: 10.1007/978-94-011-6958-5 © 1986 G. de Vahl Davis Typeset in 10 on 12 point Times by Paston Press, Loddon, Norfolk Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the UK Copyright Designs and Patents Act, 1988, this publication may not be reproduced, stored or transmitted, in any form or by any means, without the prior permission in writing of the publishers, or in the case of repro graphic reproduction only in accordance with the terms of the licences issued by the Copyright Licensing Agency in the UK, or in accordance with the terms of licenses issued by the appropriate Reproduction Rights Organization outside the UK. Enquiries concerning reproduction outside the terms stated here should be sent to the publishers at the London address printed on this page. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. A catalogue record for this book is available from the British Library Library of Congress Cataloging-in-Publication data available
To the memory of my parents: Rose and Gerald de Vahl Davis and to my wife and daughters: Vivianne, Shelley and Nicola
Preface This book is designed for an introductory course in numerical methods for students of engineering and science at universities and colleges of advanced education. It is an outgrowth of a course of lectures and tutorials (problemsolving sessions) which the author has given for a number of years at the University of New South Wales and elsewhere. The course is normally taught at the rate of 1i hours per week th
