Welcome to the Sage Tutorial!

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

Installation

Ways to Use Sage

Longterm Goals for Sage

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

Your Sage Session

Logging Input and Output

Paste Ignores Prompts

Timing Commands

Other IPython tricks

Errors and Exceptions

Reverse Search and Tab Completion

Integrated Help System

Saving and Loading Individual Objects

Saving and Loading Complete Sessions

The Notebook Interface

Interfaces

GP/PARI

GAP

Singular

Maxima

Sage, LaTeX and Friends

Overview

Basic Use

Customizing LaTeX Generation

Customizing LaTeX Processing

An Example: Combinatorial Graphs with tkz-graph

A Fully Capable TeX Installation

External Programs

Programming

Loading and Attaching Sage files

Creating Compiled Code

Standalone Python/Sage Scripts

Data Types

Lists, Tuples, and Sequences

Dictionaries

Sets

Iterators

Loops, Functions, Control Statements, and Comparisons

Profiling

Using SageTeX

An example

Make SageTeX known to TeX

SageTeX documentation

SageTeX and TeXLive

Afterword

Why Python?

I would like to contribute somehow. How can I?

How do I reference Sage?

Appendix

Arithmetical binary operator precedence

Bibliography

Indices and tables

Index

Module Index

Search Page