Wolfram Mathematica: Modern Technical Computing

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<span class="hero-text hide__900">Available on <a href="/mathematica/pricing/">desktop</a>,<br><a href="/mathematica/pricing/">cloud</a> & <a href="/cloud-app/">mobile</a></span> <img src="img/overview/header-hero.png" alt="" width="951" height="346" class="fill-and-center"> </div> </div> </div>  <div id="_product-anchor"></div> <header id="_product-header"> <div id="_product-grid"> <div id="_product-name"> <h1 data-url="/mathematica/">Mathematica</h1> <nav id="_product-mobile" class="hide display-ib__600"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 12 8" width="12" height="8"><path fill="currentColor" d="M9.568 1L5.999 4.162 2.433 1.001 1 2.569 5.999 7 11 2.567 9.568 1z"></path></svg> <ul> <li><a href="/mathematica/">Overview</a> <li><a href="/mathematica/core-areas/">Core Areas</a> <li><a href="/mathematica/new-in-14/">What's New</a> <li><a href="/customer-stories/">Customer Stories</a> <li><a href="/mathematica/resources/">Resources</a> <li><a 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Mathematica provides a progressively higher-level environment in which as much as possible is automated—so you can work as efficiently as possible.</p> </div> <div> <img src="img/overview/about-3.png" alt="" width="368" height="96"> <h3>Everything Is Industrial Strength</h3> <p>Mathematica is built to provide industrial-strength capabilities—with robust, efficient algorithms across all areas, capable of handling large-scale problems, with parallelism, GPU computing and more.</p> </div> <div> <img src="img/overview/about-4.png" alt="" width="368" height="96"> <h3>Powerful Ease of Use</h3> <p>Mathematica draws on its algorithmic power—as well as the careful design of Wolfram Language—to create a system that's uniquely easy to use, with predictive suggestions, natural language input and more.</p> </div> <div> <h3>Documents as well as Code</h3> <p>Mathematica uses the Wolfram Notebook Interface, which allows you to organize everything you do in rich documents that include text, runnable code, dynamic graphics, user interfaces and more.</p> </div> <div> <h3>The Code Makes Sense</h3> <p>With its intuitive English-like function names and coherent design, Wolfram Language is uniquely easy to read, write and learn.</p> </div> <div> <h3>Make Your Results Look Their Best</h3> <p>With sophisticated computational aesthetics and award-winning design, Mathematica presents your results beautifully—instantly creating top-of-the-line interactive visualizations and publication-quality documents.</p> </div> <div> <h3>Instant Real-World Data</h3> <p>Mathematica has access to the vast <a href="/knowledgebase">Wolfram Knowledgebase</a>, which includes up-to-the-minute real-world data across thousands of domains.</p> </div> <div> <img src="img/overview/about-6.png" alt="" width="368" height="96"> <h3>Seamless Cloud Integration</h3> <p>Mathematica is now <a href="/cloud/">seamlessly integrated with the cloud</a>—allowing sharing, cloud computing and more in a unique and powerful hybrid cloud/desktop environment.</p> </div> <div> <img src="img/overview/about-7.png" alt="" width="368" height="96"> <h3>Connected to Everything</h3> <p>Mathematica is built to be connected to everything: file formats (250+), other languages, <a href="https://datadrop.wolframcloud.com/">Wolfram Data Drop</a>, APIs, databases, programs, the <a href="/internet-of-things/">Internet of Things</a>, <a href="http://devices.wolfram.com/">devices</a>—and even distributed instances of itself.</p> </div> <div> <h3>150,000+ Examples</h3> <p>Get started with almost any project with help from 150,000+ examples in the <a href="//reference.wolfram.com/language/">Documentation Center</a>, over 13,000 open-code Demonstrations in the <a href="http://demonstrations.wolfram.com/">Wolfram Demonstrations Project</a>—and a host of other resources.</p> </div> </div> <hr> </section> <section id="coverage" class="page-width"> <h2>Coverage</h2> <p class="p1">Mathematica is based on the breakthrough Wolfram Language.</p> <p class="p2"><a href="//reference.wolfram.com/language/" class="chevron-after">Full Wolfram Language Documentation & Reference</a></p> <div class="gray-box"> <div class="cgrid"> <a href="//reference.wolfram.com/language/guide/LanguageOverview.html"><span>Symbolic Language</span><i></i></a> <a href="//reference.wolfram.com/language/guide/NumericalEvaluationAndPrecision.html"><span>Numerics</span><i></i></a> <a href="//reference.wolfram.com/language/guide/MathematicalFunctions.html"><span>Mathematical Computation</span><i></i></a> <a href="//reference.wolfram.com/language/guide/PolynomialAlgebra.html"><span>Algebraic Manipulation</span><i></i></a> <a href="//reference.wolfram.com/language/guide/NumberTheory.html"><span>Number Theory</span><i></i></a> <a href="//reference.wolfram.com/language/guide/FunctionVisualization.html"><span>Function Visualization</span><i></i></a> <a href="//reference.wolfram.com/language/#DataManipulationAndAnalysis"><span>Data Manipulation & Analysis</span><i></i></a> <a href="//reference.wolfram.com/language/guide/MachineLearning.html"><span>Machine Learning & LLMs</span><i></i></a> <a href="//reference.wolfram.com/language/#VisualizationAndGraphics"><span>Data Visualization & Graphics</span><i></i></a> <a href="//reference.wolfram.com/language/#StringsAndText"><span>Strings & Text</span><i></i></a> <a href="//reference.wolfram.com/language/guide/GraphsAndNetworks.html"><span>Graphs & Networks</span><i></i></a> <a href="//reference.wolfram.com/language/guide/ImageProcessing.html"><span>Images</span><i></i></a> <a href="//reference.wolfram.com/language/#Geometry"><span>Geometry</span><i></i></a> <a href="//reference.wolfram.com/language/#Sound"><span>Sound & Video</span><i></i></a> <a href="//reference.wolfram.com/language/#KnowledgeRepresentationAndNaturalLanguage"><span>Knowledge Representation & Natural Language</span><i></i></a> <a href="//reference.wolfram.com/language/#TimeRelatedComputation"><span>Time-Related Computation</span><i></i></a> <a href="//reference.wolfram.com/language/guide/GeographicData.html"><span>Geographic Data & Computation</span><i></i></a> <a href="//reference.wolfram.com/language/guide/ScientificAndMedicalDataFormats.html"><span>Scientific and Medical Data & Computation</span><i></i></a> <a href="//reference.wolfram.com/language/guide/EngineeringData.html"><span>Engineering Data & Computation</span><i></i></a> <a href="//reference.wolfram.com/language/guide/FinancialAndEconomicData.html"><span>Financial Data & Computation</span><i></i></a> <a href="//reference.wolfram.com/language/#SocialCulturalAndLinguisticData"><span>Social, Cultural & Linguistic Data</span><i></i></a> <a href="//reference.wolfram.com/language/#NotebookDocumentsAndPresentation"><span>Notebook Documents & Presentations</span><i></i></a> <a href="//reference.wolfram.com/language/#UserInterfaceConstruction"><span>User Interface Construction</span><i></i></a> <a href="//reference.wolfram.com/language/#SystemOperationAndSetup"><span>System Operation & Setup</span><i></i></a> <a href="//reference.wolfram.com/language/guide/ExternalLanguageInterfaces.html"><span>External Interfaces & Connections</span><i></i></a> <a href="//reference.wolfram.com/language/guide/CloudFunctionsAndDeployment.html"><span>Cloud & Deployment</span><i></i></a> </div> </div> <hr> </section> <section id="core-areas" class="page-width"> <h2>Highlighted Core Areas</h2> <div class="cgrid"> <a id="visualization" href="/language/core-areas/visualization"><i></i><span>Wolfram <br><strong>Visualization</strong></span></a> <a id="caluclus-algebra" href="/language/core-areas/calculus-algebra"><i></i><span>Wolfram <br><strong>Calculus & Algebra</strong></span></a> <a id="mathematicalFunctions" href="/language/core-areas/mathematical-functions"><i></i><span>Wolfram <br><strong>Mathematical Functions</strong></span></a> <a id="machine-learning" href="/language/core-areas/machine-learning"><i></i><span>Wolfram <br><strong>Machine Learning & LLMs</strong></span></a> <a id="geometry" href="/language/core-areas/geometry"><i></i><span>Wolfram <br><strong>Geometric Computation</strong></span></a> <a id="optimization" href="/language/core-areas/optimization"><i></i><span>Wolfram <br><strong>Optimization</strong></span></a> <a id="finite-element-method" href="/language/core-areas/fem/"><i></i><span>Wolfram <br><strong>FEM</strong></span></a> <a id="geography" href="/language/core-areas/geography"><i></i><span>Wolfram <br><strong>Geography</strong></span></a> <a id="image" href="/language/core-areas/image"><i></i><span>Wolfram <br><strong>Image Computation</strong></span></a> <a id="audio" href="/language/core-areas/audio"><i></i><span>Wolfram <br><strong>Audio Computation</strong></span></a> <a id="video" href="/language/core-areas/video"><i></i><span>Wolfram <br><strong>Video Computation</strong></span></a> <a id="knowledgebase" href="/language/core-areas/knowledgebase"><i></i><span>Wolfram <br><strong>Knowledgebase</strong></span></a> <a id="chemistry" href="/language/core-areas/chemistry"><i></i><span>Wolfram <br><strong>Chemistry</strong></span></a> <a id="controls" href="/language/core-areas/controls/"><i></i><span>Wolfram <br><strong>Control Systems</strong></span></a> <a id="signalprocessing" href="/language/core-areas/signal"><i></i><span>Wolfram <br><strong>Signal Processing</strong></span></a> <a id="user-interfaces" href="/language/core-areas/user-interfaces"><i></i><span>Wolfram <br><strong>User Interfaces</strong></span></a> <a id="aitools" href="/resources/tools-for-AIs/"><i></i><span>Wolfram <br><strong>Tools for AIs</strong></span></a> </div> <hr> </section> <section id="core" class="page-width"> <h2>Core Technologies</h2> <div class="cgrid"> <div> <a href="/language/"> <div><img src="img/overview/core-1.png" alt="" width="86" height="84"></div> <div> <h3>Wolfram Language</h3> <p>The unique knowledge-based symbolic language that grew out of Mathematica, and now powers the Mathematica system.</p> </div> </a> </div> <div> <a href="/algorithmbase/"> <div><img src="img/overview/core-2.png" alt="" width="86" height="84"></div> <div> <h3>Wolfram Algorithmbase</h3> <p>The world's largest integrated web of algorithms, providing broad and deep built-in capabilities for Mathematica.</p> </div> </a> </div> <div> <a href="/technologies/nb/"> <div><img src="img/overview/core-3.png" alt="" width="86" height="59"></div> <div> <h3>Wolfram Notebook Interface</h3> <p>The uniquely flexible document-based interface that lets you mix executable code, richly formatted text, dynamic graphics and interactive interfaces in Mathematica.</p> </div> </a> </div> <div> <a href="/natural-language-understanding/"> <div><img src="img/overview/core-4.png" alt="" width="86" height="52"></div> <div> <h3>Natural Language Understanding</h3> <p>Introduced in Wolfram|Alpha and now fully integrated into the Wolfram technology stack, NLU is a key enabler in a wide range of Wolfram products and services.</p> </div> </a> </div> <div> <a href="/cloud/"> <div><img src="img/overview/core-5.png" alt="" width="86" height="68"></div> <div> <h3>Wolfram Cloud</h3> <p>The infrastructure technology that lets you run Mathematica Online with just a web browser.</p> </div> </a> </div> <div> <a href="/knowledgebase/"> <div><img src="img/overview/core-6.png" alt="" width="86" height="84"></div> <div> <h3>Wolfram Knowledgebase</h3> <p>The uniquely broad, continuously updated knowledgebase that powers Wolfram|Alpha and supplies computable real-world data for use in Wolfram products.</p> </div> </a> </div> </div> <hr> </section> <section id="stats" class="page-width"> <h2><span>The Mathematica Trajectory</span><br>It's Come a Long Way in over Three Decades</h2> <p class="p1">The 500+ functions from Mathematica 1 are still in Mathematica 14—but there are now over 6,000, as well as a huge range of important new ideas that dramatically extend the vision and scope of the system.</p> <div class="chart"> <img src="img/overview/stats-chart.png" alt="" width="1038" height="342" class="fill-and-center hide__600"> <img src="img/overview/stats-chart__600.png" alt="" width="420" height="171" class="fill-and-center hide show__600"> </div> <div class="cgrid"> <div> <h3>The 1988 Revolution</h3> <p>When Mathematica first appeared in 1988, it revolutionized technical computing—and every year since then it's kept going, introducing new functions, new algorithms and new ideas.</p> </div> <div> <h3>Far, Far Beyond Math</h3> <p>Math was Mathematica's first great application area—and building on that success, Mathematica has systematically expanded into a vast range of areas, covering all forms of technical computing and beyond.</p> </div> <div> <h3>The Innovation Gets Even Faster</h3> <p>Mathematica has followed a remarkable trajectory of accelerating innovation for three decades—made possible at every stage by systematically building on its increasingly large capabilities so far.</p> </div> <div> <h3>Serious New Ideas in Every Version</h3> <p>Versions of Mathematica aren't just incremental software updates; each successive one is a serious achievement that extends the paradigm of computation in new directions and introduces important new ideas.</p> </div> <div> <h3>What You Learned in Version 1 Still Works</h3> <p>If you're one of the lucky people who used Mathematica 1, the code you wrote over three decades ago will still work—and you'll recognize the core ideas of Mathematica 1 in the vast system that is Mathematica today.</p> </div> <div> <h3>Always Moving Forward, for Three Decades</h3> <p>Mathematica has always stayed true to its core principles and careful design disciplines, letting it continually move forward and integrate new functionality and methodologies without ever having to backtrack.</p> </div> </div> </section>  <div id="try-buy-upgrade"> <p class="p1">Mathematica</p> <p 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