K.A. STROUD
ENGINEERING
MATHEMATICS
,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
EIGHTH EDITION
,# K. A. Stroud 1970, 1982, 1987, 1995
# K. A Stroud and Dexter J. Booth under exclusive licence to Macmillan Education Limited 2001, 2007, 2013, 2020
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.
This edition published 2020 by
RED GLOBE PRESS
Previous editions published under the imprint PALGRAVE
Red Globe Press in the UK is an imprint of Macmillan Education Limited, registered in England,
company number 01755588, of 4 Crinan Street, London, N1 9XW.
Red Globe Press is a registered trademark in the United States, the United Kingdom,
Europe and other countries.
ISBN 978–1–352–01027–5 paperback
ISBN 978–1–352–01028–2 ebook
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.
, Summary of contents
Part I Foundation topics
F.1 Arithmetic 3
F.2 Introduction to algebra 63
F.3 Expressions and equations 97
F.4 Graphs 123
F.5 Linear equations 157
F.6 Polynomial equations 173
F.7 Binomials 187
F.8 Partial fractions 215
F.9 Trigonometry 235
F.10 Functions 259
F.11 Trigonometric and exponential functions 279
F.12 Differentiation 309
F.13 Integration 347
Part II
1 Complex numbers 1 379
2 Complex numbers 2 406
3 Hyperbolic functions 431
4 Determinants 453
5 Matrices 484
6 Vectors 519
7 Differentiation 544
8 Differentiation applications 563
9 Tangents, normals and curvature 585
10 Sequences 607
11 Series 1 642
12 Series 2 666
13 Curves and curve fitting 692
14 Partial differentiation 1 736
15 Partial differentiation 2 757
16 Integration 1 773
17 Integration 2 800
18 Reduction formulas 828
19 Integration applications 1 841
20 Integration applications 2 859
21 Integration applications 3 881
22 Approximate integration 910
23 Polar coordinate systems 929
24 Multiple integrals 951
25 First-order differential equations 977
26 Second-order differential equations 1013
27 Introduction to Laplace transforms 1036
28 Data handling and statistics 1054
29 Probability 1085
ENGINEERING
MATHEMATICS
,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
EIGHTH EDITION
,# K. A. Stroud 1970, 1982, 1987, 1995
# K. A Stroud and Dexter J. Booth under exclusive licence to Macmillan Education Limited 2001, 2007, 2013, 2020
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.
This edition published 2020 by
RED GLOBE PRESS
Previous editions published under the imprint PALGRAVE
Red Globe Press in the UK is an imprint of Macmillan Education Limited, registered in England,
company number 01755588, of 4 Crinan Street, London, N1 9XW.
Red Globe Press is a registered trademark in the United States, the United Kingdom,
Europe and other countries.
ISBN 978–1–352–01027–5 paperback
ISBN 978–1–352–01028–2 ebook
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.
, Summary of contents
Part I Foundation topics
F.1 Arithmetic 3
F.2 Introduction to algebra 63
F.3 Expressions and equations 97
F.4 Graphs 123
F.5 Linear equations 157
F.6 Polynomial equations 173
F.7 Binomials 187
F.8 Partial fractions 215
F.9 Trigonometry 235
F.10 Functions 259
F.11 Trigonometric and exponential functions 279
F.12 Differentiation 309
F.13 Integration 347
Part II
1 Complex numbers 1 379
2 Complex numbers 2 406
3 Hyperbolic functions 431
4 Determinants 453
5 Matrices 484
6 Vectors 519
7 Differentiation 544
8 Differentiation applications 563
9 Tangents, normals and curvature 585
10 Sequences 607
11 Series 1 642
12 Series 2 666
13 Curves and curve fitting 692
14 Partial differentiation 1 736
15 Partial differentiation 2 757
16 Integration 1 773
17 Integration 2 800
18 Reduction formulas 828
19 Integration applications 1 841
20 Integration applications 2 859
21 Integration applications 3 881
22 Approximate integration 910
23 Polar coordinate systems 929
24 Multiple integrals 951
25 First-order differential equations 977
26 Second-order differential equations 1013
27 Introduction to Laplace transforms 1036
28 Data handling and statistics 1054
29 Probability 1085
