SageMath

Mathematicians, scientists, researchers, and students need a powerful tool for their work or study. SageMath is a freely available open-source mathematical software system bundling the functionality of many software libraries, exposing their features in a common interface and extending on top of this with its own powerful algorithms. By leveraging the flexibility and universality of the underlying Python interpreter, SageMath is able to accommodate for a vast range of their requirements. The mission of SageMath is to create a viable open-source alternative to all major proprietary mathematical software systems. Python is the main programming language inside the SageMath library and also the language of choice for all interactions with the built-in objects and functions for expressing mathematical concepts and calculations. Besides a command-line and programming-library interface, its primary user interface is a dynamic self-hosted website. From the perspective of a user, the interface language is Python, but with a thin extension built directly on top of it. Almost all areas of mathematics are represented in SageMath, at various levels of sophistication. This includes symbolic calculus, 2D and 3D graphics, polynomials, graph theory, group theory, abstract algebra, combinatorics, cryptography, elliptic curves and modular forms, numerical mathematics, linear algebra and matrix calculations (over various rings), support for parallel computing, and a powerful coercion framework to “mix” elements from different sets for calculations. SageMath’s features also expand into neighboring fields like Statistics and Physics.