HAESE
&
HARRIS PUBLICATIONS
Specialists in mathematics publishing
Mathematics
for the international student
Mathematics HL (Options) Including coverage on CD of the Geometry option for Further Mathematics SL
Peter Blythe Peter Joseph Paul Urban David Martin Robert Haese Michael Haese
International Baccalaureate Diploma Programme 100
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Y:\HAESE\IBHL_OPT\IBHLOPT_00\001IBO00.CDR Friday, 19 August 2005 9:06:19 AM PETERDELL
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MATHEMATICS FOR THE INTERNATIONAL STUDENT International Baccalaureate Mathematics HL (Options) Peter Blythe Peter Joseph Paul Urban David Martin Robert Haese Michael Haese
B.Sc. M.A.(Hons.), Grad.Cert.Ed. B.Sc.(Hons.), B.Ec. B.A., B.Sc., M.A., M.Ed.Admin. B.Sc. B.Sc.(Hons.), Ph.D.
Haese & Harris Publications 3 Frank Collopy Court, Adelaide Airport, SA 5950, AUSTRALIA Telephone: +61 8 8355 9444, Fax: + 61 8 8355 9471 Email:
[email protected] www.haeseandharris.com.au Web: National Library of Australia Card Number & ISBN 1 876543 33 7 © Haese & Harris Publications 2005 Published by Raksar Nominees Pty Ltd 3 Frank Collopy Court, Adelaide Airport, SA 5950, AUSTRALIA First Edition
2005
Reprinted
2006 (twice)
Cartoon artwork by John Martin. Artwork by Piotr Poturaj and David Purton. Cover design by Piotr Poturaj. Computer software by David Purton. Typeset in Australia by Susan Haese and Charlotte Sabel (Raksar Nominees). Typeset in Times Roman 10\Qw_ /11\Qw_ The textbook and its accompanying CD have been developed independently of the International Baccalaureate Organization (IBO). The textbook and CD are in no way connected with, or endorsed by, the IBO. This book is copyright. Except as permitted by the Copyright Act (any fair dealing for the purposes of private study, research, criticism or review), no part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the publisher. Enquiries to be made to Haese & Harris Publications. Copying for educational purposes: Where copies of part or the whole of the book are made under Part VB of the Copyright Act, the law requires that the educational institution or the body that administers it has given a remuneration notice to Copyright Agency Limited (CAL). For information, contact the Copyright Agency Limited. Acknowledgements: The publishers acknowledge the cooperation of many teachers in the preparation of this book. A full list appears on page 4. While every attempt has been made to trace and acknowledge copyright, the authors and publishers apologise for any accidental infringement where copyright has proved untraceable. They would be pleased to come to a suitable agreement with the rightful owner. Disclaimer: All the internet addresses (URL’s) given in this book were valid at the time of printing. While the authors and publisher regret any inconvenience that changes of address may cause readers, no responsibility for any such changes can be accepted by either the authors or the publisher.
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R:\BOOKS\IB_books\IBHL_OPT\IBHLOPT_00\002ibo00.cdr Wednesday, 16 August 2006 10:22:48 AM PETERDELL
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FOREWORD
Mathematics for the International Student: Mathe