Mastering Mathematics for Electrical and Electronic Engineering
Ideal for BTEC National, Higher, GNVQ, City & Guilds, A-level and for the professional. All the essential mathematics for electrical and electronic students. Includes all the conventional methods of solving mathematical problems, and looks at special
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Mastering
Mathematics for Electrical and Electronic Engineering
Noel M. Morris
M
MACMILLAN
© Noel Morris 1994 All rights reserved. No reproduction, copy or transmission of this publication may be made without written permission. No paragraph of this publication may be reproduced, copied or transmitted save with written permission or in accordance with the provisions of the Copyright, Designs and Patents Act 1988, or under the terms of any licence permitting limited copying issued by the Copyright Licensing Agency. 90 Tottenham Court Road, London WlP 9HE. Any person who does any unauthorised act in relation to this publication may be liable to criminal prosecution and civil claims for damages. First published 1994 by THE MACMILLAN PRESS LTD Houndmills, Basingstoke, Hampshire RG21 2XS and London Companies and representatives throughout the world
ISBN 978-1-349-13193-8 (eBook) ISBN 978-0-333-59359-2 DOI 10.1007/978-1-349-13193-8 A catalogue record for this book is available from the British Library. Copy-edited and typeset by Povey-Edmondson Okehampton and Rochdale, England 9 10 03 02
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To Laura and Alex
Q Contents List of figures and tables
xiii
Preface
xix
How to use this book 1
2
XX
Fractions, roots and powers 1.1 Introduction 1.2 Integers, prime numbers, factors and multiples 1.3 Fractions 1.4 Ratios, per cent and per unit values 1.5 Direct proportion, inverse proportion and reciprocal 1.6 Addition and subtraction of fractions 1.7 Multiplication of fractions 1.8 Division of fractions 1.9 Bases and powers 1.10 Raising a fraction to a power 1.11 Fractional powers 1.12 Scientific notation Self-test questions Summary of important facts Numbers and numbering systems 2.1 Introduction 2.2 Terminology 2.3 The basis of numbering systems 2.4 Converting an integer of any radix into decimal 2.5 Converting a decimal integer into another radix 2.6 Converting a binary integer into an octal integer 2.7 Converting a binary integer into a hexadecimal integer 2.8 Dealing with a number having a fractional part 2.9 Binary-coded decimal codes 2.10 Addition of numbers 2.11 Unsigned
