First Semester in Numerical Analysis with Julia, 2020a

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CHAPTER 1. INTRODUCTION 19 Out[30]: 3×1 Array{Float64,2}: 0.3826037521318931 0.15472806518855398 0.4626681826795528 Powers of A can be computed as: In [31]: A^5 Out[31]: 3×3 Array{Float64,2}: -2.8023 0.395834 2.76652 0.125727 -1.39302 0.846217 3.74251 3.24339 4.51654 Logic operations Here are some basic logic operations: In [32]: 2==3 Out[32]: false In [33]: 2
CHAPTER 1. INTRODUCTION 20 In [37]: iseven(5) Out[37]: false In [38]: isodd(5) Out[38]: true Defining functions There are three ways to define a function. Here is the basic syntax: In [39]: function squareit(x) return x^2 end Out[39]: squareit (generic function with 1 method) In [40]: squareit(3) Out[40]: 9 There is also a compact form to define a function, if the body of the function is a short, simple expression: In [41]: cubeit(x)=x^3 Out[41]: cubeit (generic function with 1 method) In [42]: cubeit(5) Out[42]: 125 Functions can be defined without being given a name: these are called anonymous functions: In [43]: x-> x^3 Out[43]: #5 (generic function with 1 method)
Page 1 and 2: First Semester in Numerical Analysi
Page 3 and 4: First Semester in Numerical Analysi
Page 5 and 6: Contents 1 Introduction 5 1.1 Revie
Page 7 and 8: Preface This book is based on my le
Page 9 and 10: Chapter 1 Introduction 1.1 Review o
Page 11 and 12: CHAPTER 1. INTRODUCTION 8 Solution.
Page 13 and 14: CHAPTER 1. INTRODUCTION 10 Let’s
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Page 19 and 20: CHAPTER 1. INTRODUCTION 16 Matrix o
Page 21: CHAPTER 1. INTRODUCTION 18 stdlib/v
Page 25 and 26: CHAPTER 1. INTRODUCTION 22 In [48]:
Page 27 and 28: CHAPTER 1. INTRODUCTION 24 -0.62988
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Page 31 and 32: CHAPTER 1. INTRODUCTION 28 Sometime
Page 33 and 34: CHAPTER 1. INTRODUCTION 30 where s
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Page 37 and 38: CHAPTER 1. INTRODUCTION 34 and real
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Page 43 and 44: CHAPTER 1. INTRODUCTION 40 Machine
Page 45 and 46: CHAPTER 1. INTRODUCTION 42 The abso
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Page 51 and 52: CHAPTER 1. INTRODUCTION 48 Exercise
Page 53 and 54: CHAPTER 1. INTRODUCTION 50 Sources
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CHAPTER 2. SOLUTIONS OF EQUATIONS:
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Chapter 3 Interpolation In this cha
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CHAPTER 3. INTERPOLATION 90 Here is
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CHAPTER 3. INTERPOLATION 92 basis f
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CHAPTER 3. INTERPOLATION 94 therefo
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CHAPTER 3. INTERPOLATION 96 Summary
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CHAPTER 3. INTERPOLATION 98 and thu
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CHAPTER 3. INTERPOLATION 100 With t
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CHAPTER 3. INTERPOLATION 102 Exampl
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CHAPTER 3. INTERPOLATION 104 Exerci
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CHAPTER 3. INTERPOLATION 106 end en
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CHAPTER 3. INTERPOLATION 108 increa
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CHAPTER 3. INTERPOLATION 110 The ne
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CHAPTER 3. INTERPOLATION 112 there
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CHAPTER 3. INTERPOLATION 114 Figure
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CHAPTER 3. INTERPOLATION 116 Then t
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CHAPTER 3. INTERPOLATION 120 Exerci
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CHAPTER 3. INTERPOLATION 122 yi yi+
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CHAPTER 3. INTERPOLATION 124 • Cl
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CHAPTER 3. INTERPOLATION 126 In [2]
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CHAPTER 3. INTERPOLATION 128 end fo
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CHAPTER 3. INTERPOLATION 132 end u=
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CHAPTER 3. INTERPOLATION 134 Especi
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CHAPTER 3. INTERPOLATION 136 Arya a
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CHAPTER 3. INTERPOLATION 138 This l
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CHAPTER 3. INTERPOLATION 140 Recrea
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CHAPTER 4. NUMERICAL QUADRATURE AND
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Chapter 5 Approximation Theory 5.1
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CHAPTER 5. APPROXIMATION THEORY 180
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Index Absolute error, 38 Beasley-Sp
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INDEX 220 Chebyshev, 203 Julia code
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First Semester in Numerical Analysis with Julia, 2020a

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