Introduction to inequalities 12 Simple inequalities 12 Inequalities involving a modulus 13 Inequalities involving quotients 14 Inequalities involving square functions 15 Quadratic inequalities 16 7 Section A: Number and Algebra 1 Algebra 1.1 1.2 1.3 1.4 1.5 1.6 2Ħ.1 Arithmetic progressions 51 6.2 Worked problems on arithmetic progressions 51 6.3 Further worked problems on arithmetic progressions 52 6.4 Geometric progressions 54 6.5 Worked problems on geometric progressions 55 6.6 Further worked problems on geometric progressions 56
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Because of rapid advances in the medical sciences, in particular, independent verification of diagnoses and drug dosages should be made British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Library of Congress Cataloging-in-Publication Data A catalog record for this book is available from the Library of Congress ISBN 13: 9-78-0-75-068152-0 ISBN 10: 0-75-068152-7 For information on all Newnes publications visit our website at Typeset by Charon Tec Ltd, Chennai, India Printed and bound in Great Britain 06 07 08 09 10 All rights reserved Copyright The right of John Bird to be indentified as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1998 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 written permission of the publisher Permission may be sought directly from Elsevier’s Science & Technology Rights Department in Oxford, UK: phone (+44) (0) 1865 843830 fax (+44) (0) 1865 853333 email: Alternatively you can submit your request online by visiting the Elsevier web site at, and selecting Obtaining permission to use Elsevier material Notice No responsibility is assumed by the publisher for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions or ideas contained in the material herein.
Newnes An imprint of Elsevier Linacre House, Jordan Hill, Oxford OX2 8DP 30 Corporate Drive, Suite 400, Burlington, MA01803, USA First published 1993 Second edition 1995 Third edition 1999 Reprinted 2000 (twice), 2001, 2002, 2003 Fourth edition 2004 Fifth edition 2006 c 2006, John Bird. Higher Engineering Mathematics Fifth Edition John Bird, BSc(Hons), CMath, FIMA, FIET, CEng, MIEE, CSci, FCollP, FIIE
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