Open Source Mathematics Software - Page 6
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Fractal Zoomer
A Fractal Zoomer with various functions.
An application that lets you render some of the most known fractal functions, like the Mandelbrot set and many more! It comes with alot of options to further enhance your fractal experience! Its easy to use and does not require installation. A java version higher than 1.8 is required to be installed. -
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FourierFlows.jl
Tools for building fast, hackable, pseudospectral equation solvers
This software provides tools for partial differential equations on periodic domains using Fourier-based pseudospectral methods. A central intent of the software's design is also to provide a framework for writing new, fast solvers for new physical problems. The code is written in Julia. -
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Hecke.jl
Computational algebraic number theory
Hecke is a software package for algebraic number theory maintained by Claus Fieker, Tommy Hofmann and Carlo Sircana. It is written in julia and is based on the computer algebra packages Nemo and AbstractAlgebra. Hecke is part of the OSCAR project and the development is supported by the Deutsche Forschungsgemeinschaft DFG within the Collaborative Research Center TRR 195. -
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KrylovKit.jl
Krylov methods for linear problems, eigenvalues, and singular values
A Julia package collecting a number of Krylov-based algorithms for linear problems, singular value and eigenvalue problems and the application of functions of linear maps or operators to vectors. -
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Manim Python
Animation engine for explanatory math videos
Manim is a Python library and animation engine designed for creating precise, programmatic mathematical visuals—famously used by 3Blue1Brown. It enables developers and educators to script animations using code and produce high-quality explanatory math videos. -
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Mathematics Dataset
This dataset code generates mathematical question and answer pairs
The Mathematics Dataset, developed by Google DeepMind, is a synthetic dataset designed to evaluate and train machine learning models on mathematical reasoning and symbolic manipulation. It generates question-and-answer pairs across a wide range of mathematical topics typically found in school-level curricula, testing a model’s ability to reason about algebra, arithmetic, calculus, probability, and more. Each question is programmatically generated with structured templates to ensure clear logic and reproducibility. The dataset enables models to learn mathematical problem-solving through examples that involve both numeric and symbolic reasoning. Version 1.0 includes over 2 million examples per category, with training splits labeled as “easy,” “medium,” and “hard,” supporting curriculum-based learning strategies. The data can be accessed via PyPI or generated locally using provided Python scripts, with outputs formatted for direct use in training or evaluation pipelines. -
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Napkin
An Infinitely Large Napkin
Napkin (also titled “An Infinitely Large Napkin”) is a lightweight, semi-formal introduction to higher mathematics, aimed at giving readers a bird’s-eye view over various mathematical fields. It is not a polished textbook full of full proofs; rather it offers clean definitions, theorem statements, intuitive motivations, and informal sketches of why things work, with the goal of building conceptual understanding. The coverage spans undergraduate and early graduate topics, designed to show how different areas of math fit together—linear algebra, analysis, topology, number theory, and more—without going deeply into every subtopic. Because it is written in LaTeX (with supporting Asymptote or other tools), readers can compile their own version, and the repository integrates diagrams, flowcharts, and supplementary files. -
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bignumber.js
A JavaScript library for arbitrary-precision decimal arithmetic
bignumber.js is a JavaScript library for arbitrary-precision decimal and non-decimal arithmetic. Faster, smaller, and perhaps easier to use than JavaScript versions of Java's BigDecimal. Replicates the toExponential, toFixed, toPrecision and toString methods of JavaScript's Number type. Includes a toFraction and a correctly-rounded squareRoot method. Supports cryptographically secure pseudo-random number generation. Wide platform compatibility, uses JavaScript 1.5 (ECMAScript 3) features only. If a smaller and simpler library is required see big.js. It's less than half the size but only works with decimal numbers and only has half the methods. It also has fewer configuration options than this library, and does not allow NaN or Infinity. See also decimal.js, which among other things adds support for non-integer powers, and performs all operations to a specified number of significant digits. -
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broom
Convert statistical analysis objects from R into tidy format
broom is part of the tidymodels ecosystem that converts statistical model outputs (e.g. from lm, glm, t.test, lme4, etc.) into tidy tibbles — standardized data frames — using functions tidy(), glance(), and augment(). These are easier to manipulate, visualize, and report programmatically. -
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pgfplots - A TeX package to draw normal and/or logarithmic plots directly in TeX in two and three dimensions with a user-friendly interface and pgfplotstable - a TeX package to round and format numerical tables. Examples in manuals and/or on web site. ATTENTION: As of February 2020, the development has been moved to https://github.com/pgf-tikz/pgfplots ! Please refer to the new page for downloads and change requests! This page is kept in read-only mode.
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Continuation Core and Toolboxes (COCO)
Toolboxes for parameter continuation and bifurcation analysis.
Development platform and toolboxes for parameter continuation, e.g., bifurcation analysis of dynamical systems and constrained design optimization. This material is based upon work partially supported by the National Science Foundation under Grant No. 1016467 and the Danish research council (FTP) under the project number 0602-00753B. Any opinions, findings, and conclusions or recommendations expressed on this site are those of the authors and do not necessarily reflect the views of the National Science Foundation or other funding sources. Documentation and tutorials are available for the following toolboxes: * ep : continuation and bifurcations of equilibrium points * coll : continuation of constrained collections of trajectory segments, including multi-segment boundary-value problems * po : continuation and bifurcations of periodic orbits in smooth and hybrid systems * recipes : collection of examples from the book Recipes for Continuation -
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RPy is a very simple, yet robust, Python interface to the R Programming Language. It can manage all kinds of R objects and can execute arbitrary R functions (including the graphic functions). RPy has been superseded by the RPy2 project: https://rpy2.github.io/
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EVAlgebra - Clifford algebra calculator
A simple Clifford algebra calculator
EVAlgebra , symbolic Clifford algebra calculator (geometric algebra) , is an Eigenmath adaptation. EVAlgebra support space dimension from 1 to 4 with arbitrry signature. It is fully documented at evalgebra.org. You may write your own scripts to resolve specific problem. -
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A HP41CV simulator for the Android platform. This version is the second beta release and includes nearly all functionality of the HP41CV including running programmes. Programmes can be imported / exported on csv format. A simple programme editor incl
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EquΔ est un projet amateur, c'est une application (pour l'instant en console, GUI pour bientôt) permettant de résoudre une équation du second dégrée de type ax² + bx + c = 0. Le programme devrait se munir de nouvelles fonctionnalités au fil du te
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PhEq_bootstrap
FDA's f2 computation with bootstrap technique
This program was developed as a help in establishing pharmaceutical equivalence by use of FDA f2 coefficient. It was designed to help with f2 computation in cases when intra- and inter-batch variability is large, namely RSD>10%. The use of statistical bootstrap technique allows to implement confidence interval (CI) into the f2 coefficients resulting in overcoming of their major drawback in the original metrics. The algorithm provides possible “worst case scenario” of f2 values, thus supporting claim about pharmaceutical equivalence. The target users are researchers from industry and academia dealing with pharmaceutical equivalence problem. The software is Open Source. It was developed in Lazarus environment, therefore source code is available in ObjectPascal. -
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Statistics101 - Resampling Statistics
Use simulation to perform statistical analyses.
Statistics101 is an Integrated Development Environment (IDE) that uses a simple, powerful language called “Resampling Stats” to develop Monte Carlo programs to analyze and solve statistical problems. The original Resampling Stats language and computer program were developed by Dr. Julian Simon (https://www.juliansimon.com/) and Peter Bruce (https://www.scientificamerican.com/author/peter-bruce/) as a new way to teach Statistics to social science students. Of course, social science students aren't the only ones who can benefit. Anyone who wants to learn statistics will find that the resampling approach helps in understanding statistical concepts from the simplest to the most difficult. In addition, professionals who want to use resampling, bootstrapping, or Monte Carlo simulations will find Statistics101 helpful. More information at https://statistics101.sourceforge.io/ -
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libnova
Celestial Mechanics Engine
libnova is a general purpose, double precision, celestial mechanics, astrometry and astrodynamics library. -
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JTransforms is the first, open source, multithreaded FFT library written in pure Java. Benchmark results show better performance than FFTW. The latest version is available at http://github.com/wendykierp/JTransforms.
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Organization for Free Software in Education and Teaching. Our goal is to develop free software for education with knowledge sharing as our main concern. We already have developed software as DrGeo, GCompris, DrGenius and the live CD freeduc.
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DDE-BIFTOOL
Bifurcation analysis for delay-differential equations
DDE-BIFTOOL is a set of routines for performing numerical bifurcation analysis of delay-differential equations, running in Matlab or Octave[2]. It was originally created by Koen Engelborghs at KU Leuven (Belgium). [1] Tutorial demo <http://ddebiftool.sourceforge.net/demos/neuron/html/demo1_simple.html> shows the output of an illustrative demo. <http://ddebiftool.sourceforge.net> links to documentation, a list of contributors and current maintainers. The original DDE-BIFTOOL webpage at KU Leuven [1] stores versions up to 3.0 and their documentation. [1] <http://twr.cs.kuleuven.be/research/software/delay/ddebiftool.shtml> [2] <https://www.gnu.org/software/octave> Further tutorials (by M Bosschaert) at <https://sites.google.com/a/uhasselt.be/maikel-bosschaert/home> (pdf files). -
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Simple Calculator
A simple calculator.
This is a simple calculator written in C++ with the Qt framework, without any extra features. A program for minimalists. -
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ClooWrapperVBA
COM-wrapper of Cloo to execute OpenCL code from Excel.
The wrapper allows to execute OpenCL code on CPU and GPU devices from VBA. Sources are available under https://github.com/Excel-lent/ClooWrapperVBA -
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Emu48 for Mac OS X is an emulator for HP calculators. It is a port of Emu48 for Windows and uses the same ROM images and interface skins. Currently it can emulate the HP49/48/40/39/38 series calculators. More info: http://emu48mac.sourceforge.net/
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GeomSpace
Interactive geometry software for Euclidean and non-Euclidean spaces
GeomSpace is interactive geometry software for different geometric spaces. You can build your own universe of any dimension and with any geometry. You can choose Euclidean, elliptic, hyperbolic, Galilean, Minkowskii, de Sitter among other spaces.
