Algebrite
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Algebrite
Algebrite is a library for symbolic mathematics keeping the code as simple as possible in order to be comprehensible and easily extensible.

Gödel's incompleteness theorems
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Gödel's incompleteness theorems - Wikipedia, the free encyclopedia
The first incompleteness theorem states that no consistent system of axioms whose theorems can be listed by an "effective procedure" (e.g., a computer program, but it could be any sort of algorithm) is capable of proving all truths about the relations of the natural numbers (arithmetic). For any such system, there will always be statements about the natural numbers that are true, but that are unprovable within the system. The second incompleteness theorem, a corollary of the first, shows that such a system cannot demonstrate its own consistency.

Jenn 3d
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Jenn 3d
Jenn is a toy for playing with various quotients of Cayley graphs of finite Coxeter groups on four generators. Jenn builds the graphs using the Todd-Coxeter algorithm, embeds them into the 3-sphere, and stereographically projects them onto euclidean 3-space. (The models really live in the hypersphere so they looked curved in our flat space.) Jenn has some basic motion models governing the six degrees of freedom of rotation of the hypersphere.

Algebraic Surfaces Gallery
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Algebraic Surfaces Gallery
A gallery of beautiful algebraic surfaces
Math for Artists: Exponents and Radicals
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Math for Artists: Exponents and Radicals
Math for Artists - These are the laws of exponents and radicals in bright, cheerful, easy to memorize colors. These college algebra graphics are now on posters, t-shirts, and other gift items in my shop. See my educational posters, t-shirts, and other gift items.

An Introduction to Dynamical Systems and Chaos
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An Introduction to Dynamical Systems and Chaos
This tutorial will develop the basic ingredients necessary for modeling and understanding simple (and not so simple) non-linear dynamical systems. The goal of these exercises are to demonstrate you that you can develop significant insight into the behavior of complicated non-linear systems with just a little math, a little art and a little modeling software. By themselves, these tools can lead to frustration. However, when combined in the right ways they can give you surprising powers of understanding. The purpose of this tutorial is to give you practice and guidance into the basic tricks of the trade so that when you are done you will be able to

Lockharts Lament
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Lockharts Lament
Sadly, our present system of mathematics education is precisely this kind of nightmare. In fact, if I had to design a mechanism for the express purpose of destroying a child’s natural curiosity and love of pattern-making, I couldn’t possibly do as good a job as is currently being done— I simply wouldn’t have the imagination to come up with the kind of senseless, soul-crushing ideas that constitute contemporary mathematics education.
arbor.js
arbor.js » introduction
Arbor is a graph visualization library built with web workers and jQuery. Rather than trying to be an all-encompassing framework, arbor provides an efficient, force-directed layout algorithm plus abstractions for graph organization and screen refresh handling.

MathJax | Beautiful math in all browsers
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MathJax | Beautiful math in all browsers
MathJax is an open source JavaScript display engine for mathematics that works in all modern browsers

No, really, pi is wrong
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No, really, pi is wrong: The Tau Manifesto by Michael Hartl
Welcome to the Tau Manifesto. This manifesto is dedicated to one of the most important numbers in mathematics, perhaps the most important: the circle constant relating the circumference of a circle to its linear dimension. For millennia, the circle has been considered the most perfect of shapes, and the circle constant captures the geometry of the circle in a single number. Of course, the traditional choice of circle constant is pi—but, as mathematician Bob Palais notes in his delightful article “pi Is Wrong!”,1 pi is wrong. It’s time to set things right.