E-Book Overview
The highly acclaimed MEI series of text books, supporting OCR's MEI Structured Mathematics specification, has been updated to match the requirements of the new specifications, for first teaching in 2004. This series, well-known for accessibility and for a student friendly approach, has a wealth of features: worked examples, activities, investigation, graded exercises, Key Points summaries and Discussion points. To ensure exam success there are plenty of up to date exam questions, 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 2 is an A2 component of Further Mathematics.
E-Book Content
MEI STRUCTURED
MATHEMATICS
THIRD
EDITION
A2 Further Pure Mathematics Terry Heard David Martin Bernard Murphy Series Editor: Roger Porkess
Hodder Murray A M E M B E R OF THE H O D D E R H E A D L I N E GROUP
The Publishers would like to thank the following for permission to reproduce copyright material: Photographs: page 1, TEK IMAGE/Science Photo Library; page 20, Claude Nuridsany and Marie Perennou/Science Photo Library; page 32, Astrid and Hanns-Frieder Michler/Science Photo Library; page 123, H. Steinhaus 'Mathematical Snapshots', OUP New York, new edition 1960; page 138, Dewitt Jones/CORBIS Every effort has been made to trace all copyright holders, but if any have been inadvertently overlooked the Publishers will be pleased to make the necessary arrangements at the first opportunity. OCR accept no responsibility whatsoever for the accuracy or method of working in the answers given. Hodder Headline's policy is to use papers that are natural, renewable and recyclable products and made from wood grown in sustainable forests. The logging and manufacturing processes are expected to conform to the environmental regulations of the country of origin. Orders: please contact Bookpoint Ltd, 130 Milton Park, Abingdon, Oxon OX 14 4SB. Telephone: (44) 01235 827720. Fax: (44) 01235 400454. Lines are open 9 am to 6 pm, Monday to Saturday, with a 24-hour message-answering service. Visit our website at www.hoddereducation.co.uk. © Terry Heard, David Martin, Bernard Murphy 1996, 2003, 2005 First Edition published in 1996 Second Edition published in 2003 Third Edition published in 2005 by Hodder Murray, an imprint of Hodder Education, a member of the Hodder Headline Group 338 Euston Road London NW1 3BH Impression number 1 0 9 8 7 6 5 4 Year 2010 2009 2008 2007 2006 2005 All rights reserved. Apart from any use permitted under UK copyright law, no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying and recording, or held within 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, 90 Tottenham Court Road, London WIT 4LP. Typeset in 10.4pt Minion by Tech-Set, Gateshead, Tyne & Wear. Printed and bound in Great Britain by Martins The Printers, Berwick-upon-Tweed. A catalogue record for this title is available from the British Library ISBN-10: 0340 889950 ISBN-13: 978 0340 88995 4
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 whi