,Engineering
Mathematics
K.A. Stroud
Formerly Principal Lecturer
Department of Mathematics, Coventry University
with
Dexter J. Booth
Formerly Principal Lecturer
School of Computing and Engineering, University of Huddersfield
SEVENTH EDITION
,# K. A. Stroud 1970, 1982, 1987, 1995
# K. A Stroud and Dexter J. Booth 2001, 2007 and 2013
All rights reserved. No reproduction, copy or transmission of this
publication may be made without written permission.
No portion 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,
Saffron House, 6-10 Kirby Street, London EC1N 8TS.
Any person who does any unauthorized act in relation to this publication
may be liable to criminal prosecution and civil claims for damages.
The authors have asserted their rights to be identified as the authors of this
work in accordance with the Copyright, Designs and Patents Act 1988.
First edition 1970
Second edition 1982
Third edition 1987
Fourth edition 1995
Fifth edition 2001
Sixth edition 2007
Seventh edition 2013
First published 1970 by
PALGRAVE MACMILLAN
Palgrave Macmillan in the UK is an imprint of Macmillan Publishers Limited,
registered in England, company number 785998, of 4 Crinan Street,
London N1 9XW.
Palgrave Macmillan in the US is a division of St Martin’s Press LLC,
175 Fifth Avenue, New York, NY 10010.
Palgrave Macmillan is a global imprint of the above companies
and is representated throughout the world.
Palgrave and Macmillan are registered trademarks in the United States,
the United Kingdom, Europe and other countries
ISBN: 978-1-137-03120-4 paperback
This book is printed on paper suitable for recycling and made from fully
managed and sustained forest sources. Logging, pulping and manufacturing
processes are expected to conform to the environmental regulations of the
country of origin.
A catalogue record for this book is available from the British Library.
A catalog record for this book is available from the Library of Congress.
Printed and bound in China
, Summary of contents
Part 1 Foundation topics
F.1 Arithmetic 3
F.2 Introduction to algebra 63
F.3 Expressions and equations 101
F.4 Graphs 127
F.5 Linear equations 161
F.6 Polynomial equations 177
F.7 Binomials 195
F.8 Partial fractions 223
F.9 Trigonometry 243
F.10 Functions 267
F.11 Trigonometric and exponential functions 287
F.12 Differentiation 315
F.13 Integration 353
Part II
1 Complex numbers 1 385
2 Complex numbers 2 412
3 Hyperbolic functions 437
4 Determinants 459
5 Matrices 489
6 Vectors 519
7 Differentiation 544
8 Differentiation applications 562
9 Tangents, normals and curvature 583
10 Sequences 605
11 Series 1 639
12 Series 2 663
13 Curves and curve fitting 688
14 Partial differentiation 1 731
15 Partial differentiation 2 752
16 Integration 1 768
17 Integration 2 794
18 Reduction formulas 821
19 Integration applications 1 834
20 Integration applications 2 851
21 Integration applications 3 873
22 Approximate integration 902
23 Polar coordinate systems 921
24 Multiple integrals 943
25 First-order differential equations 968
26 Second-order differential equations 1004
27 Introduction to Laplace transforms 1027
28 Data handling and statistics 1045
29 Probability 1076
Mathematics
K.A. Stroud
Formerly Principal Lecturer
Department of Mathematics, Coventry University
with
Dexter J. Booth
Formerly Principal Lecturer
School of Computing and Engineering, University of Huddersfield
SEVENTH EDITION
,# K. A. Stroud 1970, 1982, 1987, 1995
# K. A Stroud and Dexter J. Booth 2001, 2007 and 2013
All rights reserved. No reproduction, copy or transmission of this
publication may be made without written permission.
No portion 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,
Saffron House, 6-10 Kirby Street, London EC1N 8TS.
Any person who does any unauthorized act in relation to this publication
may be liable to criminal prosecution and civil claims for damages.
The authors have asserted their rights to be identified as the authors of this
work in accordance with the Copyright, Designs and Patents Act 1988.
First edition 1970
Second edition 1982
Third edition 1987
Fourth edition 1995
Fifth edition 2001
Sixth edition 2007
Seventh edition 2013
First published 1970 by
PALGRAVE MACMILLAN
Palgrave Macmillan in the UK is an imprint of Macmillan Publishers Limited,
registered in England, company number 785998, of 4 Crinan Street,
London N1 9XW.
Palgrave Macmillan in the US is a division of St Martin’s Press LLC,
175 Fifth Avenue, New York, NY 10010.
Palgrave Macmillan is a global imprint of the above companies
and is representated throughout the world.
Palgrave and Macmillan are registered trademarks in the United States,
the United Kingdom, Europe and other countries
ISBN: 978-1-137-03120-4 paperback
This book is printed on paper suitable for recycling and made from fully
managed and sustained forest sources. Logging, pulping and manufacturing
processes are expected to conform to the environmental regulations of the
country of origin.
A catalogue record for this book is available from the British Library.
A catalog record for this book is available from the Library of Congress.
Printed and bound in China
, Summary of contents
Part 1 Foundation topics
F.1 Arithmetic 3
F.2 Introduction to algebra 63
F.3 Expressions and equations 101
F.4 Graphs 127
F.5 Linear equations 161
F.6 Polynomial equations 177
F.7 Binomials 195
F.8 Partial fractions 223
F.9 Trigonometry 243
F.10 Functions 267
F.11 Trigonometric and exponential functions 287
F.12 Differentiation 315
F.13 Integration 353
Part II
1 Complex numbers 1 385
2 Complex numbers 2 412
3 Hyperbolic functions 437
4 Determinants 459
5 Matrices 489
6 Vectors 519
7 Differentiation 544
8 Differentiation applications 562
9 Tangents, normals and curvature 583
10 Sequences 605
11 Series 1 639
12 Series 2 663
13 Curves and curve fitting 688
14 Partial differentiation 1 731
15 Partial differentiation 2 752
16 Integration 1 768
17 Integration 2 794
18 Reduction formulas 821
19 Integration applications 1 834
20 Integration applications 2 851
21 Integration applications 3 873
22 Approximate integration 902
23 Polar coordinate systems 921
24 Multiple integrals 943
25 First-order differential equations 968
26 Second-order differential equations 1004
27 Introduction to Laplace transforms 1027
28 Data handling and statistics 1045
29 Probability 1076
