Computational Mathematics with SageMath

Paul Zimmermann, Alexandre Casamayou, Nathann Cohen, Guillaume Connan, Thierry Dumont,
Laurent Fousse, François Maltey, Matthias Meulien, Marc Mezzarobba,
Clément Pernet, Nicolas M. Thiéry, Erik Bray, John Cremona, Marcelo Forets, Alexandru Ghitza, Hugh Thomas.

Free license CC-BY-SA: Creative Commons, Attribution-ShareAlike 4.0 International
xiv + 464 pages, December 2018

Available as SIAM book or pdf

Listed in the Open Textbook Initiative from the American Institute of Mathematics


SageMath, or Sage for short, is an open-source mathematical software system based on the Python language. Sage is developed by an international community of hundreds of teachers and researchers, whose aim is to provide an alternative to the commercial products Magma, Maple, Mathematica and Matlab. To reach this goal, Sage relies on several open-source programs, including GAP, Maxima, PARI and various scientific libraries for Python, to which thousands of new functions are added. Sage is freely available and is supported by all modern operating systems.

For high school students, Sage provides a wonderful scientific and graphical calculator. It efficiently supports undergraduate students in their computations in analysis, linear algebra, calculus, etc. For graduate students, researchers and engineers, Sage provides the most recent algorithms and tools for many domains of mathematics. This is why several universities all around the world already use Sage at the undergraduate level, including for student internships.

This book, written by researchers and teachers at different levels (high school, undergraduate, graduate) focuses on the underlying mathematics, which is necessary to efficiently use Sage. In such a way, it is more a mathematical book illustrated by concrete examples with Sage than a reference manual.

The first part of the book is accessible to high school and undergraduate students. The content of the other parts is more suited for graduate students, teachers and researchers.


Last update: 30 May 2018