Mathematica 12.0.0 – Advanced mathematics, visualization, and more


Mathematica is the tool of choice across the technical world for everything from simple calculations to large-scale computations,mathematica11 programming, or presenting. Throughout industry, government, and education, two million people – from students to Nobel Laureates – use Mathematica to achieve more.


Mathematica seamlessly integrates a numeric and symbolic computational engine, graphics system, programming language, documentation system, and advanced connectivity to other applications. It is this range of capabilities – many world-leading in their own right – that makes Mathematica uniquely capable as a ‘one-stop shop’ for you or your organization’s technical work.



Version 12.0.0:

  • Major OS integration updates to Mac and Linux notebook interfaces using the 64-bit Cocoa API and Qt 5, respectively, with the Linux interface no longer requiring a supporting X server
  • Optimization solvers such as LinearOptimization, QuadraticOptimization, SemidefiniteOptimization, etc. for optimizing convex functions over convex constraints, including vector inequalities such as VectorGreater for modeling vector-valued variables
  • Expanded asymptotics functionality, including asymptotic solutions to algebraic and difference equations and asymptotic approximations to sums
  • Added support for generating arbitrary constants in Integrate, Sum and Product
  • Improved elementary functions support for Integrate, support for large structured systems in Solve and Reduce, DSolve support for nonlinear first-order ODEs and extended coverage and support in FunctionDomain
  • Extended numerical PDE-solving capabilities of NDSolve to solve nonlinear PDEs over arbitrary-shaped regions with the finite element method, and automated idealized n-body interactions using NBodySimulation
  • Geometric capabilities have been further enhanced with the addition of general polygons with holes and polyhedra primitives, as well as improved support across the board
  • New framework to visualize Euclidean geometry and its theorems using GeometricScene and GeometricAssertion
  • Access built-in axiomatic theories for use in symbolic proofs with AxiomaticTheory
  • Visualize complex-valued data and functions using ComplexListPlot, plot real and imaginary components of a function using ReImPlot and plot the modulus of a complex function of a real variable colored by its argument using AbsArgPlot
  • Use Around to describe uncertainty in measured values, with built-in support in visualization functions
  • Create, analyze and modify chemical species using the Molecule function, and visualize structures in two and three dimensions with MoleculePlot and MoleculePlot3D
  • Represent geodetic vectors with GeoVector, and visualize geodetic vector fields using GeoVectorPlot and GeoStreamPlot
  • Generate randomly distributed geo positions in any region using RandomGeoPosition, and analyze distance, area and angular distortion of geo projections using GeoGridUnitDistance, GeoGridUnitArea and GeoGridDirectionDifference
  • Updated default appearance for GraphPlot visualizations, as well as new plot themes and updated properties
  • Color-processing functions such as FindMatchingColor, ImageRecolor and ColorDetect, all powered by the new ColorsNear wrapper to represent a color neighborhood
  • High-level recognition functions such as ImageCases, FacialFeatures, AudioIdentify and SpeechRecognize, and performance enhancements to FindFaces, FeatureSpacePlot, AudioMFCC, etc.
  • Performance improvements in audio analysis functions such as AudioIntervals and windowing functions such as HannWindow, and a new AudioAnnotate framework for annotating audio objects
  • Multi-language support for SpeechSynthesize, as well as improved discovery and searching of available voices through VoiceStyleData
  • ShortTimeFourier for computing and storing properties of short-time Fourier transforms, and InverseSpectrogram for approximating a signal from a magnitude spectrogram
  • The neural network framework has been enhanced with additional pre-trained models, new layers, new encoders and decoders, multi-GPU support and automatic early stopping of training to prevent overfitting
  • ClassifierMeasurements can now handle uncertainties and multi-class averaging, and the “NeuralNetwork” method for Classify has been vastly improved using a self-normalizing net
  • Learn a generalized probability distribution from arbitrary data using LearnDistribution, replace missing values in data by generated values using SynthesizeMissingValues and find anomalous examples in data using FindAnomalies
  • Interact with relational databases symbolically using RelationalDatabase, integrating out-of-core and in-memory techniques to access terabyte-scale data and automatically generating SQL code for popular databases
  • Query remote or in-memory RDF graph databases using SPARQL queries, and import/export RDF data from a variety of RDF formats
  • Support for “on-the-fly” properties, filtering and sorting, aggregation, combining types and sampling of classes in the entity framework
  • Expanded and enhanced data for built-in entities across all domains, including geographic, cultural and historic, life science and medical, financial, astronomical, earth science, transportation, engineering, linguistic and mathematical
  • Efficient partial import and other improvements in scientific formats such as “FITS” and “HDF5”, as well as tabular formats such as “CSV” and “XLS”
  • NumericArray for creating the most compact representation of a numeric array
  • Pass arguments to functions in any order or bracket structure with Curry, or map vector functions onto sublists of elements with SubsetMap
  • Information has been greatly extended and modernized to provide information on different object types
  • Initial version of Wolfram Compiler for translating portions of Wolfram Language code into optimized native machine code
  • Improvements to the external evaluation framework, including core performance enhancements, ExternalFunction to directly call external code and WebExecute to control web browsers
  • Create, sign and deploy custom blockchain transactions and interact with computational contracts using BlockchainTransaction, BlockchainTransactionSign, BlockchainTransactionSubmit and BlockchainContractValue
  • New Microcontroller Kit for automating the generation and deployment of code to microcontrollers
  • Bidirectional interface to the Unity game engine
  • Share notebooks to the Wolfram Cloud or via email without leaving the front end
  • Create, store and instantly access functions through the public Wolfram Function Repository and the ResourceFunction system



  • Intel
  • macOS 10.12 or later

ScreenShots :



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