World Library  
Flag as Inappropriate
Email this Article

Euler (software)

Article Id: WHEBN0004476773
Reproduction Date:

Title: Euler (software)  
Author: World Heritage Encyclopedia
Language: English
Subject: Comparison of numerical analysis software, Vortexje, FreeFem++, Free statistical software, ADMB
Publisher: World Heritage Encyclopedia

Euler (software)

Euler (now Euler Mathematical Toolbox or EuMathT) is a free and open-source numerical software package. It contains a matrix language, a graphical notebook style interface, and a plot window. Euler is designed for higher level math such as calculus, optimization, and statistics.

The software can handle real, complex and interval numbers, vectors and matrices, it can produce 2D/3D plots, and uses Maxima for symbolic operations. The software is compilable with Windows. The Unix and Linux versions do not contain a computer algebra subsystem.


Euler Math Toolbox originated in 1988 as a program for Atari ST. At that time, the title of the program was simply Euler, but it turned out to be too unspecific for the Internet. The main aim of the program was to create a tool for testing numerical algorithms, to visualize results, and to demonstrate mathematical content in the classroom. Euler Math Toolbox uses a matrix language similar to Matlab, a system, which started at about the same time. Then and now the main developer of Euler is René Grothmann, a mathematician at the Catholic University of Eichstätt-Ingolstadt, Germany. In 2007, Euler was married with the Maxima computer algebra system. Symbolic expressions and other functions were added to communicate with Maxima, and to reach a good degree of integration into the numerical Euler core.


The Euler core is a numerical system written in C/C++. It handles real, complex, and interval values, and matrices of these types. Other available data types are sparse, compressed matrices, a long accumulator for an exact scalar product, and strings. Strings are used for expressions, file names etc. Based on this core, additional functions are implemented in the Euler matrix language, which is an interpreted programming language in the style of an advanced Basic dialect. Euler contains libraries for statistics, exact numerical computations with interval inclusions, differential equations and stiff equations, astronomical functions, geometry, and more.

The clean interface consists of a text window, and a graphics window. The text window contains fully editable notebooks, and the graphics window the graphics output. Graphics can be added to the notebook window too, or can be exported in various formats (PNG, SVG, WMF, Clipboard). Graphic types include line, bar or point plots in 2D and 3D, including anaglyph plots of 3D surfaces and other 3D plots. Euler has an API to use the open raytracer Povray.

Euler handles symbolic computations via Maxima, which is loaded as a separate process, communicating with Euler through pipes. The two programs can exchange variables and values. Indeed, Maxima is used in various Euler functions (e.g. the Newton method) to assist in the computation of derivatives, Taylor expansions and integrals. Moreover, Maxima can be called at definition time of an Euler function.

Latex can be used from within Euler to display Formulas. For export of formulas to HTML, either the generated Latex images or MathJax can be used. A special export option exports all graphics to SVG.

Euler also includes the Tiny C Compiler, which allows subroutines in C to be compiled, and included via a Windows DLL.

Euler has a lot of similarity to Matlab and its free clones (GNU Octave), but it is not compatible.

See also

External links

  • Official website
  • Old GTK+ version of Euler for Unix/Linux
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.

Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.