Sage is free, open-source math software that supports research and teaching in algebra, geometry, number theory, cryptography, numerical computation, and related areas. Both the Sage development model and the technology in Sage itself are distinguished by an extremely strong emphasis on openness, community, cooperation, and collaboration: we are building the car, not reinventing the wheel. The overall goal of Sage is to create a viable, free, open-source alternative to Maple, Mathematica, Magma, and MATLAB.

This tutorial is the best way to become familiar with Sage in only
a few hours. You can read it in HTML or PDF versions, or from the
Sage notebook (click `Help`, then click `Tutorial` to interactively
work through the tutorial from within Sage).

This work is licensed under a Creative Commons Attribution-Share Alike 3.0 License.

- Introduction
- A Guided Tour
- Assignment, Equality, and Arithmetic
- Getting Help
- Functions, Indentation, and Counting
- Basic Algebra and Calculus
- Plotting
- Some Common Issues with Functions
- Basic Rings
- Linear Algebra
- Polynomials
- Parents, Conversion and Coercion
- Finite Groups, Abelian Groups
- Number Theory
- Some More Advanced Mathematics

- The Interactive Shell
- Interfaces
- Sage, LaTeX and Friends
- Programming
- Using SageTeX
- Afterword
- Appendix
- Bibliography