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Advanced
Engineering
Mathematics
A new edition of Further
Engineering Mathematics
K. A. Stroud
Formerly Principal Lecturer Department of Mathematics, Coventry University
with additions by
Dexter j. Booth Principal Lecturer School of Computing and Engineering, University of Huddersfield
FOURTH EDITION
Review Board for the fourth edition : Dr Mike Gover, University of Bradford Dr Pat Lewis, Staffordshire University Dr Phil Everson, University of Exeter Dr Marc Andre Armand, National University of Singapore Dr Lilla Ferrarlo, The Australian National University Dr Bernadine Renaldo Wong, University of Malaya, Malaysia Additional reviewers : Dr John Appleby, University of Newcastle Dr John Dormand, University of Teesside
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Contents
Preface to the First Edition xv Preface to the Second Edition xvii Preface to the Third Edition xviii Preface to the Fourth Edition xix Hints on using the book (^) xxi Useful background information (^) xxii
Programme
1_ Numerical solutions of equations and interpolation Learning outcomes 1 Introduction 2 The Fundamental Theorem of Algebra 2 Relations between the coefficients and the roots of a polynomial equation 4 Cubic equations 7 Transforming a cubic to reduced form 7 Tartaglia's solution for a real root^8 Numerical methods 9 Bisection 9 Numerical solution of equations by iteration^11 Using a spreadsheet^12 Relative addresses^13 Newton--Raphson iterative method^14 Tabular display of results 16 Modified Newton-Raphson method^21 Interpolation 24 Linear interpolation 24 Graphical interpolation^25 Gregory--Newton interpolation formula using forward finite differences 25 Central differences 31 GregoryNewton backward differences^33 Lagrange interpolation^35 Revision summary 1^38 Can You? Checklist 1^41 Test exercise 1^42 Further problems 1^43
'~ Programme8 ,. Power series solutions of
