First Semester in Numerical Analysis with Julia, 2020a

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CHAPTER 1. INTRODUCTION 13 In [14]: x[4] Out[14]: 40 In [15]: length(x) Out[15]: 6 Broadcasting syntax (or dot syntax) is an easy way to apply a function to an array: In [16]: x=[1, 2, 3] Out[16]: 3-element Array{Int64,1}: 1 2 3 In [17]: sin.(x) Out[17]: 3-element Array{Float64,1}: 0.8414709848078965 0.9092974268256817 0.1411200080598672 Plotting There are several packages for plotting functions and we will use the PyPlot package. To install the package, open a Julia terminal. Here is how it looks like:
CHAPTER 1. INTRODUCTION 14 Press ] to switch to the package mode, and then type and enter "add PyPlot". Your terminal will look like this: When the package is loaded, you can go back to the Jupyter notebook, and type using PyPlot to start the package. In [18]: using PyPlot In [19]: x = range(0,stop=2*pi,length=1000) y = sin.(3x); plot(x, y, color="red", linewidth=2.0, linestyle="--") title("The sine function");
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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 108 increa
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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 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 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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