Understanding Engineering Mathematics.pdf

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Understanding Engineering
Mathematics
Understanding Engineering
Mathematics
Bill Cox
OXFORD AUCKLAND BOSTON JOHANNESBURG MELBOURNE NEW DELHI
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Newnes
An imprint of Butterworth-Heinemann
Linacre House, Jordan Hill, Oxford OX2 8DP
225 Wildwood Avenue, Woburn, MA 01801-2041
A division of Reed Educational and Professional Publishing Ltd
A member of the Reed Elsevier plc group
First published 2001
Bill Cox 2001
All rights reserved. No part of this publication may be
reproduced in any material form (including photocopying
or storing in any medium by electronic means and whether
or not transiently or incidentally to some other use of
this publication) without the written permission of the copyright
holder except in accordance with the provisions of the
Copyright, Designs and Patents Act 1988 or under
the terms of a licence issued by the Copyright Licensing
Agency Ltd, 90 Tottenham Court Road, London, England W1P 0LP.
Applications for the copyright holder’s written permission
to reproduce any part of this publication should be
addressed to the publishers.
British Library Cataloguing in Publication Data
A catalogue record for this book is available from the British Library
ISBN 0 7506 5098 2
Typeset by Laser Words Private Limited, Chennai, India
Printed in Great Britain by MPG Books Ltd. Bodmin, Cornwall
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Contents
Preface
ix
To the Student
xi
1 Number and Arithmetic
1
1.1 Review
2
1.2 Revision
5
1.3 Reinforcement
27
1.4 Applications
31
Answers to reinforcement exercises
32
2 Algebra
37
2.1 Review
38
2.2 Revision
40
2.3 Reinforcement
73
2.4 Applications
79
Answers to reinforcement exercises
81
3 Functions and Series
87
3.1 Review
88
3.2 Revision
90
3.3 Reinforcement
107
Answers to reinforcement exercises
112
4 Exponential and Logarithm Functions
118
4.1 Review
119
4.2 Revision
120
4.3 Reinforcement
136
4.4 Applications
138
Answers to reinforcement exercises
139
5 Geometry of Lines, Triangles and Circles
142
5.1 Review
143
5.2 Revision
147
5.3 Reinforcement
160
5.4 Applications
165
Answers to reinforcement exercises
167
v
3.4 Applications
110

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