Computer algebra in Julia

TL;DR

This paper explores integrating computer algebra systems into Julia to enhance symbolic and numerical computations for scientific and engineering applications, demonstrating the feasibility and convenience of such integration.

Contribution

It introduces the use of computer algebra systems within Julia, combining symbolic and numerical computations for mathematical modeling.

Findings

Julia can effectively incorporate computer algebra systems.

Integration of symbolic and numerical computations is feasible in Julia.

Using computer algebra in Julia is convenient for scientific modeling.

Abstract

Recently, the place of the main programming language for scientific and engineering computations has been little by little taken by Julia. Some users want to work completely within the Julia framework as they work within the Python framework. There are libraries for Julia that cover the majority of scientific and engineering computations demands. The aim of this paper is to combine the usage of the Julia framework for numerical computations and for symbolic computations in mathematical modeling problems. The main functional domains determining various variants of the application of computer algebra systems are described. In each of these domains, generic representatives of computer algebra systems in Julia are distinguished. The conclusion is that it is possible (and even convenient) to use computer algebra systems within the Julia framework.