Open Source Lisp Mathematics Software

Maxima is a computer algebra system comparable to commercial systems like Mathematica and Maple. It emphasizes symbolic mathematical computation: algebra, trigonometry, calculus, and much more. For example, Maxima solves x^2-r*x-s^2-r*s=0, giving the symbolic results [x=r+s, x=-s]. It can also calculate with exact integers and fractions, native floating-point, and high-precision big floats. Maxima has user-friendly front-ends, an online manual, plotting commands, and numerical libraries. It features its own programming language, and many users have contributed useful packages in various areas over the decades. It is GPL-licensed and largely written in Common Lisp. Executables can be downloaded for Windows, Mac, Linux, and Android; source code is also available. An active community maintains and extends the system. Website: https://maxima.sourceforge.io Additional add-on packages for Maxima can be found at: https://github.com/maxima-project-on-github/maxima-packages

CLISP is a portable ANSI Common Lisp implementation and development environment by Bruno Haible. Interpreter, compiler, debugger, CLOS, MOP, FFI, Unicode, sockets, CLX. UI in English, German, French, Spanish, Dutch, Russian, and Danish.

wxMaxima is a cross-platform graphical front-end for the computer algebra system Maxima based on wxWidgets. It provides nice display of mathematical output and easy access to Maxima functions through menus and dialogs. This project has moved to github and can be reached at http://wxmaxima-developers.github.io/wxmaxima/

REDUCE is an interactive system for general algebraic computations of interest to mathematicians, scientists and engineers. It can be used interactively for simple calculations but also provides a flexible and expressive user programming language. The development of the REDUCE computer algebra system was started in the 1960s by Anthony C. Hearn. Since then, many scientists from all over the world have contributed to its development. REDUCE has a long and distinguished place in the history of computer algebra systems. Other systems that address some of the same issues but sometimes with rather different emphasis are Axiom, Derive, Macsyma (Maxima), Maple, Mathematica and MuPAD. REDUCE primarily runs on either Portable Standard Lisp (PSL) or Codemist Standard Lisp (CSL), both of which are included in the SourceForge distribution. By modern standards, REDUCE is a surprisingly small and compact application, which runs well on all major operating systems.

Little b is a Lisp-based language which allows scientists to build shareable, reusable mathematical models of complex systems based on shared parts. The initial focus is molecular and multicellular networks. Project web page: http://www.littleb.org

Computational modelling is a interdisciplinary field spanning many techniques and programming languages. AgenTools is a project dedicated to establishing increased modularity in scientific computing packages and a portal linking to other existing project

Axiom is a computer algebra system. It consists of an interpreter, a compiler and a library of algorithms. Axiom is an excellent research platform as well as a useful tool for scientific programming.

Knowledge-based Agent with capabilities to reason, learn and become an expert in Mathematics.

Charlemagne is a versatile genetic programming application which includes a command-line client and an interactive console mode. It features built in input-output mapping support, and is user-extensible for complex fitness evaluation in Python and Lisp

FrAid(FRactal AID) is an interface to Java, allowing it to proc. math. data(functions/equations). A compl. standalone system utilizing the FrAid prog. lang. is available(no need to be Java programmer to use it!). Use instead of Matlab. High res. graphics

Matlab alternative. Scilab alternative. GNU Octave alternative. Mathematics software for numerical computation. Ordinary differential equations solver and finite elements solver. It has a console script interpreter, as well as a graphical interface script interpreter, for entering equations and statements, and a line plot display.

MATHOOL is an online and offline javascript application powered by REDUCE computer algebra system, JSXGraph and other open source javascript programs devoted to scientific calculations and graphic visualization.

mupacs is a lisp mode for editing MuPAD code (automatic indentation, fontification, ...), as well as running MuPAD in a subshell, with support for debugger and online documentation

NLISP is an extension to Common Lisp that provides an interactive numerical computation environment, similar to packages like Matlab and IDL. NLISP has array syntax, scientific plotting and a numerical library. It currently runs under CMUCL & SBCL Lisp.

Run Maxima programs via the web in batch mode. Maxima is a Computer Algebra System written in Lisp.

Hosting home-made software which is mathematically proven to be correct. We make use of tools like HOL, PVS, ...

kin is a set of libraries and tools supporting meta-programming for engineering and technical computing applications. This JVM version of kin has been superseded by the stand-alone version being developed at http://purl.org/net/kin.

MatLisp is a package for Common Lisp for handling matrices with real-valued or complex-valued elements. BLAS is used for elementary matrix operations and LAPACK is used for linear algebra routines.