Mei As Further Pure Mathematics: Book 1 (mei Structured Mathematics (a+as Level))

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This series, well known for accessibility and for a student-friendly approach, has a wealth of features: worked examples, activities, investigations, graded exercises, Key Points summaries and Discussion Points. To ensure exam success there are plenty of up-to-date exam question, plus warning signs to indicate common pitfalls. MEI offer full support to schools through their network with newsletters, training days and an annual conference. Further Pure Mathematics 1 is the core component in the AS Further Mathematics qualification.

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THIRD EDITION AS Further Pure Mathematics Catherine Berry Terry Heard David Martin Series Editor: Roger Porkess Hodder Murray A MEMBER OF THE HODDER HEADLINE GROUP Acknowledgements We are grateful to the following companies, institutions and individuals who have given permission to reproduce photographs in this book. Every effort has been made to trace and acknowledge ownership of copyright. The publishers will be glad to make suitable arrangements with any copyright holders whom it has not been possible to contact. OCR, AQA and Edexcel accept no responsibility whatsoever for the accuracy or method of working in the answers given. Papers used in this book are natural, renewable and recyclable products. They are made from wood grown in sustainable forests. The logging and manufacturing processes conform to the environmental regulations of the country of origin. Photo page 115 © Craig Lovell / CORBIS Figure page 128 by Jeff Edwards Orders: please contact Bookpoint Ltd, 130 Milton Park, Abingdon, Oxon OX14 4SB. Telephone: (44) 01235 827720, Fax: (44) 01235 400454. Lines are open from 9 am to 5 pm, Monday to Saturday, with a 24-hour message-answering service. You can also order through our website at www.hoddereducation.co.uk. British Library Cataloguing in Publication Data A catalogue record for this title is available from the The British Library. ISBN-10: 0-340-81460-8 ISBN-13: 978-0-340-81460-4 First Edition Published 1995 Second Edition Published 2001 Third Edition Published 2004 Impression number 10 9 8 7 6 Year 2010 2009 2008 2007 2006 Copyright © 1995, 2001, 2004, Catherine Berry, Terry Heard, David Martin All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher or under licence from the Copyright Licensing Agency Limited. Further details of such licences (for reprographic reproduction) may be obtained from the Copyright Licensing Agency Limited, of 90 Tottenham Court Road, London W1T 4LP. Typeset by Pantek Arts Ltd, Maidstone, Kent. Printed in Malta for Hodder Murray, a member of the Hodder Headline Group, 338 Euston Road, London NW1 3BH. MEI Structured Mathematics Mathematics is not only a beautiful and exciting subject in its own right but also one that underpins many other branches of learning. It is consequently fundamental to the success of a modern economy. MEI Structured Mathematics is designed to increase substantially the number of people taking the subject post-GCSE, by making it accessible, interesting and relevant to a wide range of students. It is a credit accumulation scheme based on 45 hour units which may be taken individually or aggregated to give Advanced Subsidiary (AS) and Advanced GCE (A Level) qualifications in Mathematics and Further Mathematics. The units may also be used to obtain credit towards other types of qualification. The course is examined by OCR (previously the Oxford and Cambridge Schools Examination Board) with examinations held in January and June each year. MEI Structured Mathematics NM NC FP1 FP2 FP3 AM G C S E C2