,Engineering Mathematics
,Engineering Mathematics
Fifth edition
John Bird BSc(Hons), CEng, CSci, CMath, FIET, MIEE,
FIIE, FIMA, FCollT
AMSTERDAM • BOSTON • HEIDELBERG • LONDON • NEW YORK • OXFORD
PARIS • SAN DIEGO • SAN FRANCISCO • SINGAPORE • SYDNEY • TOKYO
Newnes is an imprint of Elsevier
, Newnes is an imprint of Elsevier
Linacre House, Jordan Hill, Oxford OX2 8DP, UK
30 Corporate Drive, Suite 400, Burlington, MA 01803, USA
First edition 1989
Second edition 1996
Reprinted 1998 (twice), 1999
Third edition 2001
Fourth edition 2003
Reprinted 2004
Fifth edition 2007
Copyright © 2001, 2003, 2007, John Bird. Published by Elsevier Ltd. 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
Permissions may be sought directly from Elsevier’s Science & Technology Rights
Department in Oxford, UK: phone ( +44) (0) 1865 843830; fax ( +44) (0) 1865 853333;
email: . Alternatively you can submit your request online by
visiting the Elsevier web site at http://elsevier.com/locate/permissions, and selecting
Obtaining permission to use Elsevier material
Notice
No responsibility is assumed by the publisher for any injury and/or damage to persons
or property as a matter of products liability, negligence or otherwise, or from any use
or operation of any methods, products, instructions or ideas contained in the material
herein. Because of rapid advances in the medical sciences, in particular, independent
verification of diagnoses and drug dosages should be made
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: 978-0-75-068555-9
For information on all Newnes publications
visit our website at www.books.elsevier.com
Typeset by Charon Tec Ltd (A Macmillan Company), Chennai, India
www.charontec.com
Printed and bound in The Netherlands
7 8 9 10 11 11 10 9 8 7 6 5 4 3 2 1
,Engineering Mathematics
Fifth edition
John Bird BSc(Hons), CEng, CSci, CMath, FIET, MIEE,
FIIE, FIMA, FCollT
AMSTERDAM • BOSTON • HEIDELBERG • LONDON • NEW YORK • OXFORD
PARIS • SAN DIEGO • SAN FRANCISCO • SINGAPORE • SYDNEY • TOKYO
Newnes is an imprint of Elsevier
, Newnes is an imprint of Elsevier
Linacre House, Jordan Hill, Oxford OX2 8DP, UK
30 Corporate Drive, Suite 400, Burlington, MA 01803, USA
First edition 1989
Second edition 1996
Reprinted 1998 (twice), 1999
Third edition 2001
Fourth edition 2003
Reprinted 2004
Fifth edition 2007
Copyright © 2001, 2003, 2007, John Bird. Published by Elsevier Ltd. 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
Permissions may be sought directly from Elsevier’s Science & Technology Rights
Department in Oxford, UK: phone ( +44) (0) 1865 843830; fax ( +44) (0) 1865 853333;
email: . Alternatively you can submit your request online by
visiting the Elsevier web site at http://elsevier.com/locate/permissions, and selecting
Obtaining permission to use Elsevier material
Notice
No responsibility is assumed by the publisher for any injury and/or damage to persons
or property as a matter of products liability, negligence or otherwise, or from any use
or operation of any methods, products, instructions or ideas contained in the material
herein. Because of rapid advances in the medical sciences, in particular, independent
verification of diagnoses and drug dosages should be made
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: 978-0-75-068555-9
For information on all Newnes publications
visit our website at www.books.elsevier.com
Typeset by Charon Tec Ltd (A Macmillan Company), Chennai, India
www.charontec.com
Printed and bound in The Netherlands
7 8 9 10 11 11 10 9 8 7 6 5 4 3 2 1
