Fundamentals of Numerical Computation

Julia is an open-source and fast-growing programming language for scientific computing that offers clarity and ease of use for beginners but also speed and power for advanced applications. Fundamentals of Numerical Julia Edition provides a complete solution for teaching Julia in the context of numerical methods. It introduces the mathematics and use of algorithms for the fundamental problems of numerical linear algebra, finding roots, approximating data and functions, and solving differential equations. A clear progression from simple to more advanced methods allows for use in either a one-semester course or a two-semester sequence. There are more than 40 functions and 160 examples fully coded in Julia and available for download as well as online supplemental content including tested source materials for student projects and in-class labs related to every chapter. The book includes over 600 exercises, evenly split between mathematical and computational work, and solutions to most exercises will be made available to instructors. Fundamentals of Numerical Julia Edition is appropriate for advanced undergraduate students in math, science, and engineering. It can be used in courses on advanced numerical analysis, data science, numerical optimization, and approximation theory. Students and professionals looking for an introduction to the subject will also find the book of interest.