文档介绍:Mathematical methods
for physics and engineering
prehensive guide
Second edition
K. F. Riley, M. P. Hobson and S. J. Bence
published by the press syndicate of the university of cambridge
The Pitt Building, Trumpington Street, Cambridge, United Kingdom
cambridge university press
The Edinburgh Building, Cambridge CB2 2RU, UK
40 West 20th Street, New York, NY 10011–4211, USA
477 Williamstown Road, Port Melbourne, VIC 3207, Australia
Ruiz de Alarcon´ 13, 28014 Madrid, Spain
Dock House, The Waterfront, Cape Town 8001, South Africa
First edition c Cambridge University Press 1998
Second edition c Ken Riley, Mike Hobson, Stephen Bence 2002
This book is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without
the written permission of Cambridge University Press.
First published 1998
Reprinted 1998 (with minor corrections), 2000 (twice), 2001
Second edition published 2002
Printed in the United Kingdom at the University Press, Cambridge
Typeset in TEX Monotype Times [epc]
A catalogue record for this book is available from the British Library
Library of Congress Cataloguing in Publication data
Riley, K. F. (h Franklin), 1936–
Mathematical methods for physics and engineering / Ken Riley,
Mike Hobson, and Stephen Bence.
p. cm.
Includes bibliographical references and index.
ISBN 0 521 81372 7 (HB) – ISBN 0 521 89067 5 (PB)
1. Mathematical analysis. I. Hobson, M. P. (Michael Paul), 1967–.
II. Bence, S. J. (Stephen John), 1972–. III. Title.
2002
515.1–dc21 2002018922 CIP
ISBN 0 521 81372 7 hardback
ISBN 0 521 89067 5 paperback
Contents
Preface to the second edition xix
Preface to the first edition xxi
1 Preliminary algebra 1
Simple functions and equations 1
Polynomial equations; factorisation; properties of roots
Trigonometric identities 10
Single angle; compound-angles; dou