Mathematical & statistical computing

The standard Python DataFrame library for labeled tabular data, time series and I/O to CSV, Excel, SQL, Parquet and more

General-purpose, dynamically typed programming language with a large standard library and the dominant ecosystem for data science and machine learning

Open-source C++ library for quantitative finance covering instruments, term structures, pricing engines and calendars, with Python and other bindings

Python library for estimating statistical and econometric models with R-style formulas, rich result summaries and tests: OLS, GLM, discrete choice, ARIMA, state space, VAR and more

Commercial statistical software from StataCorp widely used in economics and social science, with editions BE/SE/MP, a command language, Mata and comprehensive PDF manuals

Open-source functional programming language and interactive theorem prover with dependent types, the Mathlib mathematics library and VS Code tooling, stewarded by the Lean FRO

Posit's multi-language data-science IDE built on Code OSS, with first-class R and Python consoles, variables and plots panes, under the Elastic License 2.0

BSD-licensed Python machine-learning library for classification, regression, clustering, dimensionality reduction, preprocessing and model selection on NumPy and SciPy

Pure-Python computer algebra system for symbolic algebra, calculus, equation solving, matrices, physics modules, code generation and LaTeX output

Wolfram Research's proprietary technical computing system built on the Wolfram Language, with notebooks, symbolic and numeric computation, visualization, machine learning and curated data

Core open-source Python library for scientific computing on NumPy arrays: optimization, integration, interpolation, linear algebra, sparse matrices, statistics, signal processing

Open-source deep-learning framework with eager tensors, autograd, torch.compile and distributed training, governed by the PyTorch Foundation and the base of most LLM tooling

Language and environment for statistical computing and graphics, with the CRAN package archive and a strong base in academic statistics and econometrics

Posit's open-source integrated development environment for R, with console, editor, plots, environment panes, Quarto/R Markdown authoring and Python via reticulate

Python library for NumPy-style array computing with composable transformations (jit, grad, vmap, shard_map) compiled through XLA to CPU, GPU and TPU

Dynamically typed, JIT-compiled language for numerical and scientific computing that aims to combine high-level syntax with compiled-code speed

MathWorks' commercial numeric computing environment and language for engineers and scientists, with toolboxes, Simulink integration, apps and MATLAB Online

Commercial Windows econometrics package for time-series estimation, forecasting and macro modelling, sold as single-user, volume, University and free Student Lite editions

Foundational Python library for n-dimensional arrays, vectorized math, linear algebra, random numbers and the array API used by the scientific stack

Free, GPL-licensed cross-platform econometrics program with a GUI, the hansl scripting language and estimators for time series, panels and limited dependent variables