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Science
for
Engineering
To S u e
Science for Engineering
Third Edition
John Bird BSc(Hons), CEng, CMath, MIEE, FIMA, FIIE, FCollP
Newnes
OXFORD
AMSTERDAM
BOSTON
LONDON
NEW YORK
PARIS
SAN DIEGO
SAN FRANCISCO
SINGAPORE
SYDNEY
TOKYO
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Newnes
An imprint of Elsevier Science
Linacre House, Jordan Hill, Oxford OX2 8DP
200 Wheeler Road, Burlington MA 01803
First published 1995
Reprinted with revisions 1996
Reprinted 1998
Second edition 2000
Third edition 2003
Copyright 1995, 2000, 2003, John Bird. All rights reserved
The right of John Bird to be identified as the author of this work
has been asserted in accordance with the Copyright, Designs and
Patents Act 1988
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 W1T 4LP. Applications for the copyright holder’s written
permission to reproduce any part of this publication should be addressed
to the publisher
Permissions may be sought directly from Elsevier’s Science and Technology Rights
Department in Oxford, UK: phone: (+44) (0) 1865 843830; fax: (+44) (0) 1865
853333; e-mail: permissions@elsevier.co.uk. You may also complete your request
on-line via the Elsevier Science homepage (http://www.elsevier.com), by selecting
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British Library Cataloguing in Publication Data
A catalogue record for this book is available from the British Library
Library of Congress Cataloguing in Publication Data
A catalogue record for this book is available from the Library of Congress
ISBN 0 7506 5777 4
For information on all Newnes publications visit our website at www.Newnespress.com
Typeset by Laserwords Private Limited, Chennai, India
Printed and bound in Great Britain
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Contents
Preface
xiii
Section
1 Applied Mathematics
1
1.
Basic arithmetic
1
1.1
Arithmetic operations
1
1.2
Highest common factors and lowest common denominators
3
1.3
Order of precedence and brackets
3
2.
Fractions, decimals and percentages
5
2.1
Fractions
5
2.2
Ratio and proportion
7
2.3
Decimals
8
2.4
Percentages
9
3.
Indices and standard form
10
3.1
Indices
10
3.2
Worked problems on indices
11
3.3
Further worked problems on indices
11
3.4
Standard form
13
3.5
Worked problems on standard form
13
3.6
Further worked problems on standard form
14
Assignment 1
15
4.
Calculations and evaluation of formulae
16
4.1
Errors and approximations
16
4.2
Use of calculator
17
4.3
Conversion tables
18
4.4
Evaluation of formulae
19
5.
Algebra
21
5.1
Basic operations
21
5.2
Laws of indices
22
5.3
Brackets and factorisation
23
5.4
Fundamental laws and precedence
24
6.
Simple equations
26
6.1
Expressions, equations and identities
26
6.2
Worked problems on simple equations
26
6.3
Further worked problems on simple equations
28
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