Higher Engineering Mathematics

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FM-H8152.tex 19/7/2006 18: 59 Page i HIGHER ENGINEERING MATHEMATICS ...

FM-H8152.tex 19/7/2006 18: 59 Page ii In memory of Elizabeth ...

Higher Engineering Mathematics Fifth Edition John Bird,BSc(Hons), CMath, FIMA, FIET, CEng, MIEE, CSci, FCollP, FIIE AMSTERDAM • ...

FM-H8152.tex 19/7/2006 18: 59 Page iv Newnes An imprint of Elsevier Linacre House, Jordan Hill, Oxford OX2 8DP 30 Corporate Driv ...

FM-H8152.tex 19/7/2006 18: 59 Page v Contents Preface xv Syllabus guidance xvii Section A: Number and Algebra 1 1 Algebra 1 1.1 ...

FM-H8152.tex 19/7/2006 18: 59 Page vi vi CONTENTS 9 Solving equations by iterative methods 76 9.1 Introduction to iterative meth ...

FM-H8152.tex 19/7/2006 18: 59 Page vii CONTENTS vii 18 Compound angles 176 18.1 Compound angle formulae 176 18.2 Conversion ofas ...

FM-H8152.tex 19/7/2006 18: 59 Page viii viii CONTENTS 26.3 Solution of simultaneous equations using Cramers rule 283 26.4 Soluti ...

FM-H8152.tex 19/7/2006 18: 59 Page ix CONTENTS ix Section H: Integral calculus 367 37 Standard integration 367 37.1 The process ...

FM-H8152.tex 19/7/2006 18: 59 Page x x CONTENTS Section I: Differential equations 443 46 Solution of first order differential eq ...

FM-H8152.tex 19/7/2006 18: 59 Page xi CONTENTS xi 52 Power series methods of solving ordinary differential equations 491 52.1 In ...

FM-H8152.tex 19/7/2006 18: 59 Page xii xii CONTENTS 62.3 Significance tests for population means 597 62.4 Comparing two sample m ...

FM-H8152.tex 19/7/2006 18: 59 Page xiii CONTENTS xiii 73 A numerical method of harmonic analysis 683 73.1 Introduction 683 73.2 ...

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FM-H8152.tex 19/7/2006 18: 59 Page xv Preface Thisfifth edition of‘Higher Engineering Math- ematics’ covers essential mathematic ...

FM-H8152.tex 19/7/2006 18: 59 Page xvi xvi PREFACE it is for this reason that some algebra topics – solution of simple, simultan ...

FM-H8152.tex 19/7/2006 18: 59 Page xvii Syllabus guidance This textbook is written forundergraduate engineering degree and found ...

FM-H8152.tex 19/7/2006 18: 59 Page xviii xviii SYLLABUS GUIDANCE Chapter Analytical Further Engineering Methods Analytical Mathe ...

Number and Algebra A 1 Algebra 1.1 Introduction In this chapter, polynomial division and the fac- tor and remainder theorems are ...