# Math tools

Tuesday, 19 September 2006 21:42

Project Euler - just cause.## Math Packages

OctaveMadagascar - package for multidimensional data analysis and reproducible computational experiments.

ASCEND - ASCEND can solve systems of non-linear equations, linear and nonlinear optimisation problems, and dynamic systems expressed in the form of differential/algebraic equations.

## Visualization

Lately I've been trying to communicate complicated geometric problems with co-workers who are remote workers. If we worked together in a normal office enviroment, we would simply use a white board...GeoGebra - an open source

CABRI3D - Cabri 3D is a 3-dimensional commercial interactive geometry software

The Geometer's Sketchpad

Dynamic Geometry - Home - Silverlight 2 and C# 3.0 computer model of plane geometry that allows you to create interactive ruler and compass constructions and experiment with them.

Antiprism - Polyhedron Modelling Software - Create, transform, analyse, and visualize polyhedra.

Hilbert II - a program suite that enables a mathematician to put theorems and proofs into that knowledge base.

Tac - A generic and adaptable interactive theorem prover

Sage: Open Source Mathematics Software

graph.tk - graph.tk/about, which aantthony/graph.tk apparently is being superseded by aantthony/javascript-cas.

JSXGraph | Dynamic Mathematics with JavaScript - interactive geometry, function plotting, charting, and data visualization in a web browser.

sketchometry - built using JSXGraph

Main Page - JSXGraph Wiki

## Latex || LaTeX || TeX (rhymes with blechhhhh)

mathematical typesettingyou might have noticed, I'm a MathJax fan, since it is randomly displayed on my site. here is some info on MathJax, and some example usage...

1 . $a^2 + b^2 = c^2$ 2 . $ax^2 + bx + c = 0$ 3 . $x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ 4 . $m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{\Delta y}{\Delta x}$ 5 . $f'(x) = \lim\limits_{\Delta x \to 0} \dfrac{f(x+\Delta x)-f(x)}{\Delta x}$ 6 . $\dfrac{d}{dx} \left [[x^n \right ] = nx^{n - 1}$ 7 . $\int_a^b f(x)~dx = \left [[F(x) \right ]_a^b = F(b) - F(a)$ 8 . $\int_a^b f(x)~dx = f(c)(b - a)$ 9 . $\text{average value} = \dfrac{1}{(b-a)} \int_a^b f(x)~dx$ 10 . $\dfrac{d}{dx} \left [[\int_a^x f(t)~dt \right ] = f(x)$

MathJax - MathJax is an open source JavaScript display engine for mathematics that works in all browsers.

Wiki MathJax Syntax - the above samples come from this page, you'll want to note the use of ?config=TeX-AMS-MML_HTMLorMML on the MathJax.js request. this loads TeX/AMSmath.js defining /dfrac, resolving your "undefined control sequence \dfrac" error. It also brings in AMSsymbols.js and some other javascript relating to error handling.

Martin's MathJax Guide - Introduction

TeX Commands available in MathJax - very large example page

MathB.in - Math pastebin with LaTeX and Markdown support - TeX Samples - MathB.in Getting started - MathB.in(uses MathJax internally)

LaTeX/Mathematics - Wikibooks, open books for an open world

MathLex - Demo

Detexify LaTeX handwritten symbol recognition - draw the symbol you are looking for into the square area above and look what happens!

## Wolfram Alpha

Last Lights On - Mandelbrot fractal zoom to 6.066 e228 (2^760) on VimeoWolfram Alpha Opens API, More Features on the Way

## R Programming (Statistics)

The R Project for Statistical ComputingDownload R Now | inside-R: A Community Site for R

Revolutions - News about R, statistics and the world of open source from the staff of Revolution Analytics

## Programming Libraries

Main Page - Eigen - Eigen is a C++ template library for linear algebra: vectors, matrices, and related algorithms.Math.NET Project

Ceres Solver - non-linear least squares solver - QR,Cholesky, specialized Schur

ceres-solver - A Nonlinear Least Squares Minimizer - Google Project Hosting - C++ deps: cmake,Eigen3,google-glog,gflags,SuiteSparse,CXSparse,BLAS,LAPACK

Perl Data Language - compactly store and speedily manipulate the large N-dimensional data arrays - Perl Data Language (PDL) Scientific computing with Perl

The PDL Book (PDF)

## Fourier

Twisted Documentation: Waves and Harmonics - The book "Who is Fourier, a Mathematical Adventure" is a cool book...An Interactive Guide To The Fourier Transform | BetterExplained

## Math viz

Toys - Jason Davies - Mathematical Visualisations The majority are written in JavaScript and require a modern browser with support for SVG or canvas. Enjoy! (neat!)MuZuu - Spiralsymmetry (in a very small and discrete world)

## quasicrystals

We Alone on Earth: quasicrystal - Visual Analogue of a Shepard Tonemain is usually a function: Quasicrystals as sums of waves in the plane

kmcallister/propane · GitHub - Propane is a system for functional synthesis of images and animations. (Haskell) In spirit of Pan, Propane uses the Repa array library. This means that Propane automatically uses multiple CPU cores for rendering, provided the program is compiled and run with threads enabled. That said, the implementation has not yet been optimized for speed.

The Pan Home Page - Pan is an experimental embedded language and compiler for image synthesis and manipulation, based on principles from functional programming. (Haskell)

## fractals

We Alone on Earth: Jython and Feedback Fractals in 42 LinesThe beauty of the Mandelbrot set - Last Lights On - Mandelbrot fractal zoom to 6.066 e228 (2^760) on Vimeo

Mandelbrot Set Renderer using JavaScript and the Canvas API - Geoff's Mandelbrot Renderer.

bugman123.com - Paul Nylander’s Web Site

An Introduction to the fascinating patterns of Visual Math

Dimensions Home - Mathematical vertigo guaranteed!

Mathematical imagery by Jos Leys.

Mac App Store - Scale: Beautiful Fractals Michael Fogleman

Newton fractal - Wikipedia The fancy header image | Almost looks like work

Git fractals - Sierpi?ski triangles using Git. Cayley graph of F2

## Sequences and Series

The On-Line Encyclopedia of Integer Sequences® (OEIS®)## Lindenmayer System || L-System

L-system - Wikipedia, the free encyclopedia## Other sites with lists of math tools

Free and Open Source Math Programs - IMHOOpen-source mathematics | wdjoyner.org

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Last Updated on Tuesday, 16 September 2014 23:33