Book Image

Julia 1.0 Programming Cookbook

By : Bogumił Kamiński, Przemysław Szufel
Book Image

Julia 1.0 Programming Cookbook

By: Bogumił Kamiński, Przemysław Szufel

Overview of this book

Julia, with its dynamic nature and high-performance, provides comparatively minimal time for the development of computational models with easy-to-maintain computational code. This book will be your solution-based guide as it will take you through different programming aspects with Julia. Starting with the new features of Julia 1.0, each recipe addresses a specific problem, providing a solution and explaining how it works. You will work with the powerful Julia tools and data structures along with the most popular Julia packages. You will learn to create vectors, handle variables, and work with functions. You will be introduced to various recipes for numerical computing, distributed computing, and achieving high performance. You will see how to optimize data science programs with parallel computing and memory allocation. We will look into more advanced concepts such as metaprogramming and functional programming. Finally, you will learn how to tackle issues while working with databases and data processing, and will learn about on data science problems, data modeling, data analysis, data manipulation, parallel processing, and cloud computing with Julia. By the end of the book, you will have acquired the skills to work more effectively with your data
Table of Contents (18 chapters)
Title Page
Copyright and Credits
Dedication
About Packt
Contributors
Preface
Index

Working with complex numbers


Julia has first-class support for complex number arithmetic. Coupling this with powerful comprehension functionality allows you to easily perform complex computations. In this recipe, we will show how to plot a Julia set.

Getting ready

Make sure you have the PyPlot.jl package installed. If it is missing run the using Pkg; Pkg.add("PyPlot") commands in the Julia command line.

We would like to count how many iterations are required for repeated application of a mapping 

  to reach a value whose norm is greater than two. The number of iterations depends on the point from which we start the iterations. We will plot a heat map showing this relationship. You can find more details about the Julia set at http://mathworld.wolfram.com/JuliaSet.html or https://en.wikipedia.org/wiki/Julia_set.

Note

In the GitHub repository for this recipe, you will find the commands.txt file that contains the presented sequence of shell and Julia commands.

Now open your favorite terminal to execute...