SageMath

SageMath is a computer algebra system developed by William Stein, a mathematics professor at the University of Washington, with the help of National Science Foundation grants and Google Summer of Code students, including David Harvey and Robert Bradshaw. It is designed to be an alternative to Magma, Maple, Mathematica, and other computer algebra systems developed by Wolfram Research and Maplesoft. SageMath is built on top of Python and uses NumPy, SciPy, and other open-source software libraries, including GNU Multiple Precision Arithmetic Library and Maxima.

Introduction

SageMath is a comprehensive mathematics software system that provides support for a wide range of mathematical areas, including algebraic geometry, number theory, combinatorics, and numerical analysis, as developed by David Hilbert, Emmy Noether, and John von Neumann. It is used by researchers and students at universities and institutions around the world, including Harvard University, Massachusetts Institute of Technology, and California Institute of Technology. SageMath is also used by organizations such as National Institute of Standards and Technology and Los Alamos National Laboratory, which were founded by J. Robert Oppenheimer and Enrico Fermi. The system is designed to be highly customizable and extensible, with a large community of developers and users contributing to its development, including Andrew Sutherland and Kiran Kedlaya.

Features

SageMath has a wide range of features, including support for symbolic mathematics, numerical computation, and data visualization, as developed by Jonah Sinowitz and Benjamin Jones. It includes a command-line interface and a graphical user interface based on JavaScript and HTML5, similar to those used by Google and Mozilla. SageMath also has a large collection of algorithms and data structures for tasks such as linear algebra, group theory, and graph theory, which were developed by Donald Knuth and Robert Tarjan. The system is highly extensible, with a large collection of plugins and interfaces to other software systems, including MATLAB, R, and Octave, which were developed by Cleve Moler and John W. Eaton.

History

SageMath was first released in 2005 by William Stein, who was a professor at Harvard University at the time, and was influenced by the work of Richard Stallman and the Free Software Foundation. The initial release was based on a combination of Python and Maxima, and was designed to provide a free and open-source alternative to Magma and other computer algebra systems. Since its initial release, SageMath has undergone significant development and expansion, with contributions from a large community of developers and users, including David Joyner and Marshall Hampton. The system has been used in a wide range of applications, including research in number theory, algebraic geometry, and combinatorics, as well as education and industry, at institutions such as Stanford University and University of California, Berkeley.

Applications

SageMath has a wide range of applications in mathematics, science, and engineering, including research in number theory, algebraic geometry, and combinatorics, as developed by Andrew Wiles and Grigori Perelman. It is used by researchers and students at universities and institutions around the world, including Massachusetts Institute of Technology, California Institute of Technology, and University of Cambridge, which were founded by Isaac Newton and Alan Turing. SageMath is also used in industry and government, including companies such as Google and Microsoft, and agencies such as National Security Agency and National Institutes of Health, which were founded by William Friedman and Jonas Salk. The system is highly customizable and extensible, making it a popular choice for a wide range of applications, from data analysis and machine learning to computer vision and robotics, as developed by Yann LeCun and Fei-Fei Li.

Comparison_to_other_software

SageMath is often compared to other computer algebra systems, including Magma, Maple, and Mathematica, which were developed by Wolfram Research and Maplesoft. It is also compared to other open-source mathematics software systems, including Octave and Scilab, which were developed by John W. Eaton and Serge Steer. SageMath has a number of advantages over other systems, including its highly customizable and extensible design, as well as its large community of developers and users, including Robert Miller and Michael Stillman. However, it also has some disadvantages, including a steeper learning curve and less commercial support than some other systems, as noted by Linus Torvalds and Richard Stallman.

Development

SageMath is developed by a large community of developers and users, including William Stein, David Harvey, and Robert Bradshaw. The system is released under the GNU General Public License, and is available for download from the SageMath website, which is hosted by University of Washington. SageMath is highly customizable and extensible, with a large collection of plugins and interfaces to other software systems, including MATLAB, R, and Octave. The system is also highly portable, with versions available for Linux, macOS, and Windows, as well as cloud computing platforms such as Amazon Web Services and Google Cloud Platform, which were developed by Jeff Bezos and Sundar Pichai. Category:Computer_algebra_systems