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Numerical Methods and Mathematical Modelling: A Comprehensive Guide for Students, Study notes of Engineering Mathematics

Advanced. Engineering. Mathematics. A new edition of Further. Engineering Mathematics ... School of Computing and Engineering, University of Huddersfield.

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

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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
palgfave
macmittan
pf3
pf4
pf5
pf8
pf9
pfa

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Download Numerical Methods and Mathematical Modelling: A Comprehensive Guide for Students and more Study notes Engineering Mathematics in PDF only on Docsity!

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

palgfave

macmittan

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