Magma (computer algebra system)

Magma is a powerful tool known as a computer algebra system. It helps mathematicians and scientists solve tricky problems in areas like algebra, number theory, geometry, and combinatorics. People use Magma to do hard calculations and find new patterns that are difficult to see by hand.

The system is named after a special kind of algebraic structure also called a magma. Magma works on many types of computers, including those that use Unix-like operating systems and Windows.

Because it can handle very advanced math, Magma is used in universities and research centers all over the world. It helps experts explore ideas and prove theories that would take much longer or be impossible to work out by hand.

Introduction

Magma is made and shared by the Computational Algebra Group at the Sydney School of Mathematics and Statistics at the University of Sydney.

In 2006, a book called Discovering Mathematics with Magma was published by Springer. Many mathematicians use Magma for their research.

History

The Magma computer algebra system began with a predecessor named Cayley. Cayley was created between 1982 and 1993 to honor the mathematician Arthur Cayley. Magma was officially released in August 1993 with version 1.0. Version 2.0 came out in June 1996. Since then, new versions have been released about once a year.

In 2013, Magma made an agreement with the Simons Foundation. This allows all nonprofit and non-governmental scientific research or educational institutions in the U.S. to offer Magma for free to their students, researchers, and faculty.

Mathematical areas covered by the system

Magma is designed to help solve problems in many areas of math. It includes tools for studying groups), which are sets with special rules for combining elements. It also has features for number theory, which looks at properties of numbers, and algebraic number theory, which studies numbers that solve polynomial equations.

The system covers topics like matrices, which are grids of numbers used to solve equations, and lattices), which are regular patterns of points in space. Magma also helps with commutative algebra, representation theory, and many other advanced areas of mathematics.