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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<title>SageMath - Tour
</title>
<meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1" />
<meta http-equiv="content-type" content="text/html; charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<link rel="search"
type="application/opensearchdescription+xml"
href="https://www.sagemath.org/res/sage-search.xml"
title="Search sagemath.org" />
<link href='res/sage.css' type="text/css" rel="stylesheet" />
<link rel="shortcut icon" href="pix/sageicon.png" type="image/x-icon" />
<link rel="mask-icon" href="pix/icon_only/sagemath_pinned_tab_icon.svg" color="blue" />
<script src="//code.jquery.com/jquery-latest.min.js" type="text/javascript"></script>
<script src='res/sage.js' type="text/javascript"></script>
<link href='//fonts.googleapis.com/css?family=RobotoDraft:regular,bold,italic,thin,light,bolditalic,black,medium&lang=en,fr,de,es' rel='stylesheet' type='text/css'>
<link href="https://mathstodon.xyz/@sagemath" rel="me" />
<meta property="og:title" content="SageMath Mathematical Software System - Sage"/>
<meta property="og:type" content="website"/>
<meta property="og:url" content="https://www.sagemath.org/"/>
<meta property="og:image" content="https://sagemath.org/pix/logo_sagemath+icon_oldstyle.png"/>
<meta property="og:site_name" content="SageMath Mathematical Software System"/>
<meta property="og:description" content="SageMath is a free and open-source mathematical software system."/></head>
<body>
<div id="header" class="small">
<div id="header-logo">
<a href="index.html">
<img width="250" height="65" alt="SageMath Logo" class="round raised"
src="pix/logo_sagemath+icon_oldstyle.png" title="SageMath Mathematical Software" />
</a></div>
<div id="header-text"><form action="search.html" method="get">
<a href="https://github.com/sagemath/sage">GitHub</a>
·
<a href="https://wiki.sagemath.org/">Wiki</a>
·
<a href="https://ask.sagemath.org/">Questions?</a>
·
<a href="https://github.com/sponsors/sagemath" style="font-weight: bold;">
<span style="color:#ea4aaa">♥</span> Sponsor
</a>
·
<a href="https://opencollective.com/sage_math" style="font-weight: bold;">Donate</a>
</form>
Online:
<a href="https://cocalc.com/?utm_source=sagemath.org&utm_medium=top">CoCalc</a>
·
<a href="https://sagecell.sagemath.org/">SageCell</a>
or
<a href="https://doc.sagemath.org/html/en/installation/index.html">Install</a>,
<a href="https://github.com/sagemath/sage">Clone</a>
<br/>
<a href="https://www.facebook.com/pages/Sage-Math/26593144945">
<img alt="F" src="pix/facebook-favicon.ico" width="16" height="16" /></a>
<a href="https://mathstodon.xyz/@sagemath">
<img alt="T" src="pix/mastodon-favicon.ico" width="16" height="16"/></a></div>
</div>
<div id="sage-nav-buffer" style="display: none"></div>
<ul id="sage-nav"><li><a href="index.html">Home</a>
<ul>
<li><a href="search.html">Search</a></li>
<li><a href="development-ack.html">Acknowledgments</a></li>
<li><a href="https://wiki.sagemath.org/Workshops">SageMath Days</a></li>
</ul>
</li>
<li><a href="tour.html">Tour</a>
<ul>
<li><a href="tour.html">Overview</a></li>
<li><a href="library-why.html">Why Sage?</a></li>
<li class="section"><a href="tour-quickstart.html">Quickstart</a></li>
<li><a href="tour-graphics.html">Graphics</a></li>
<li><a href="tour-research.html">Research</a></li>
<li class="section"><a href="https://wiki.sagemath.org/interact/">Interactive Plots (wiki)</a></li>
<li><a href="https://doc.sagemath.org/html/en/a_tour_of_sage/">A Tour of SageMath</a></li>
</ul>
</li>
<li><a href="help.html">Help</a>
<ul>
<li><a href="https://doc.sagemath.org"><b>Online Documentation</b></a></li>
<li class="section"><a href="help.html">Support Resources</a></li>
<li><a href="help-groups.html">Mailing Lists</a></li>
<li><a href="https://ask.sagemath.org" class="ext">Ask a question</a></li>
<li><a href="https://sagemath.zulipchat.com/" class="ext">Chat on Zulip</a></li>
<li><a href="help-video.html">Videos</a></li>
<li class="section"><a href="https://doc.sagemath.org/html/en/tutorial/">Tutorial</a></li>
<li><a href="https://doc.sagemath.org/html/en/constructions/">Constructions</a></li>
<li><a href="https://doc.sagemath.org/html/en/reference/">Reference Manual</a></li>
</ul>
</li>
<li><a href="library.html">Library</a>
<ul>
<li><a href="library.html">Overview</a></li>
<li><a href="library-stories.html">Testimonials</a></li>
<li><a href="library-publications.html">Publications</a></li>
<li><a href="library-publications-combinat.html">Publications Combinat</a></li>
<li><a href="library-publications.html#books" >Books</a></li>
<li class="section"><a href="library-marketing.html">Marketing</a></li>
<li><a href="library-press.html">Press Kit</a></li>
<li class="section"><a href="calctut/index.html">Calculus Tutorial</a></li>
</ul>
</li>
<li><a href="https://doc.sagemath.org/html/en/installation/index.html">Download</a>
<ul>
<li><a href="https://doc.sagemath.org/html/en/installation/index.html">Install guide: What/how to download</a>
<li class="section"><a href="https://github.com/sagemath/sage">Clone from GitHub</a></li>
<li class="section"><a href="https://github.com/3-manifolds/Sage_macOS/releases" class="ext">macOS binaries (3-manifolds)</a></li>
<li><a href="https://doc.sagemath.org/html/en/installation/conda.html#sec-installation-conda">Linux/macOS binaries (conda-forge)</a></li>
<li><a href="https://docs.microsoft.com/en-us/windows/wsl/install">Windows: Use Windows Subsystem for Linux</a></li>
</ul>
</li>
<li><a href="development.html">Development</a>
<ul>
<li><a href="https://github.com/sagemath/sage/blob/develop/CONTRIBUTING.md" class="ext">Contributing to SageMath</a></li>
<li><a href="https://github.com/sagemath/sage" class="ext">GitHub repository</a></li>
<li><a href="development-groups.html">Mailing Lists</a></li>
<li><a href="development-map.html">Developer Map</a></li>
<li><a href="development-prize.html">Prize</a></li>
<li><a href="development-ack.html">Acknowledgment</a></li>
<li><a href="https://doc.sagemath.org/html/en/developer/" class="ext">Developer Guide</a></li>
</ul>
</li>
<li><a href="links.html">Links</a>
<ul>
<li><a href="https://github.com/sagemath/sage/wiki/Mathematical-Software-Landscape" class="ext">Math Software Landscape</a></li>
<li><a href="https://doc.sagemath.org/html/en/reference/spkg/" class="ext">SageMath Components</a></li>
<li class="section"><a href="https://sagecell.sagemath.org/" class="ext">SageMath Cell Server</a></li>
<li><a href="https://wiki.sagemath.org/">SageMath Wiki</a></li>
<li><a href="https://groups.google.com/forum/#!forum/sage-devel">Report a bug</a></li>
<li><a href="contact.html">Contact</a></li>
</ul>
</li></ul>
<h1 class="narrow">SageMath Feature Tour</h1>
<div class="narrow txt">
SageMath
is built out of
<a href="https://doc.sagemath.org/html/en/reference/spkg/">hundreds of open-source packages</a> and features a unified
interface.
SageMath can be used to study elementary and advanced, pure
and applied mathematics. This includes a huge range of mathematics,
including basic algebra, calculus, elementary to very advanced number
theory, cryptography, numerical computation, commutative algebra,
group theory, combinatorics, graph theory, exact linear algebra and
much more.
It combines
<a href="https://doc.sagemath.org/html/en/reference/spkg/">various software packages</a>
and seamlessly
integrates their functionality into a common experience. It is
<a href="./library-stories.html">well-suited</a>
for education and research.
</div>
<div class="narrow txt">
The user interface is a
notebook in a web browser or the command line. Using the notebook,
SageMath connects either locally to your own SageMath installation or to a
SageMath server on the network. Inside the SageMath notebook you can create
embedded graphics, beautifully typeset mathematical expressions, add
and delete input, and share your work across the network.
</div>
<div class="narrow txt">
The following showcase presents some of SageMath's capabilities, screenshots and gives you an
overall impression of what SageMath is. The examples show the lines of code in SageMath on the left side,
accompanied by an explanation on the right. They only show the very basic concepts of how SageMath
works. Please refer to the <a href="./help.html">documentation material</a> for more detailed
explanations or <a href="./library.html">visit the library</a> to see SageMath in action.
</div>
<div class="narrow txt">
<ul>
<li><a href="./help-video.html"><strong>Video Introduction</strong> to SageMath by William Stein</a> — first video of several explaining SageMath, better than a bunch of screenshots...</a></li>
<li><a href="./tour-quickstart.html">Quickstart with SageMath</a> — explains basic concepts and
gives you an impression of what SageMath is.</li>
<li><a href="./tour-graphics.html">SageMath Graphics</a> — shows examples of useful plots and visualizations.</li>
<li><a href="./tour-research.html">SageMath in Research</a> — presents features useful for higher
mathematics.</li>
</ul>
</div>
<h3 class="narrow">Documentation: <a href="https://doc.sagemath.org/html/en/tutorial/tour.html">A Guided Tour</a></h3>
<div class="narrow txt">
<ul>
<li><a href="https://doc.sagemath.org/html/en/tutorial/interactive_shell.html">The interactive Shell</a></li>
<li><a href="https://doc.sagemath.org/html/en/tutorial/tour_algebra.html">Basic Algebra and Calculus</a></li>
<li><a href="https://doc.sagemath.org/html/en/tutorial/tour_plotting.html">Plotting, 2D and 3D</a></li>
<li><a href="https://doc.sagemath.org/html/en/tutorial/tour_rings.html">Basic Rings</a></li>
<li><a href="https://doc.sagemath.org/html/en/tutorial/tour_polynomial.html">Univariate and Multivariate Polynomials</a></li>
<li><a href="https://doc.sagemath.org/html/en/tutorial/tour_linalg.html">Linear Algebra (Vector, Matrix, ...)</a></li>
<li><a href="https://doc.sagemath.org/html/en/tutorial/tour_groups.html">Finite Groups</a></li>
<li><a href="https://doc.sagemath.org/html/en/tutorial/tour_advanced.html">Advanced Mathematics in SageMath</a></li>
</ul>
</div>
<h3 class="narrow">More about SageMath</h3>
<div class="narrow txt">
<ul>
<li><a href="./library-stories.html">Testimonials, Success Stories and News</a> — read what
others write about SageMath.</li>
<li><a href="https://www.flickr.com/photos/sagescreenshots/sets/72157603532209437/"
>Screenshots</a> — they give an impression how a SageMath notebook looks
like.</li>
<li><a href="https://wiki.sagemath.org/art">Pictures</a> — collection of images drawn by
SageMath.</li>
<li><a href="https://wiki.sagemath.org/interact">Interact</a> — examples of SageMath's
interactive drawing capabilities.</li>
</ul>
<div class="center">
<a href="https://wiki.sagemath.org/art"><img src="./pix/sage-made-graphics/hypotrochoid.gif" /></a>
</div>
</div>
<div style="height:auto;min-height:50px;"> </div>
<div id="footer" class="center">
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