This java applet demonstrates Fourier series, which is a method of expressing an arbitrary periodic function as a sum of cosine terms. In other words, Fourier series can be used to express a function in terms of the frequencies (harmonics) it is composed of.

is an extensive suite of free programs that deal with Algebra & Functions, Geometry & Trigonometry, and Statistics & Probability. Released last month, these Java-based cross-platform tools were developed through an NSF project directed by Christian Hirsch (Western Michigan) and Brin Keller (Michigan State). Support for the tools includes sample lessons, data sets, and extensive help.

Sage is a different approach to mathematics software.
With the Sage Notebook anyone can create, collaborate on, and publish interactive worksheets. In a worksheet, one can write code using Sage, Python, and other software included in Sage.

The Wolfram Atlas of Simple Programs charts the computational world introduced in Stephen Wolfram's A New Kind of Science. Much like the atlases of another age of exploration, the Atlas both documents what has been uncovered, and defines entryways into the unknown

Mathematics for the Digital Age and Programming in PythonSecond Edition: with Python 3

I design and build Mathematical Sculptures, attempting to reveal hidden geometric beauty in office supplies and other modest materials. See these sculpture pages for pictures and mathematical descriptions of this work.

The Tau 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 for the circle constant is π—but, as mathematician Bob Palais notes in his delightful article “π Is Wrong!”1, π is wrong. It’s time to set things right.

rofessor Marcus du Sautoy argues that mathematics is the driving force behind modern science. Ten fifteen minute podcasts that reveal the personalities behind the calculations from Newton to the present day. How do these masters of abstraction find a role in the real world?

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

The word "graph" has (at least) two meanings in mathematics.

In elementary mathematics, "graph" refers to a function graph or "graph of a function," i.e., a plot.

In a mathematician's terminology, a graph is a collection of points and lines connecting some (possibly empty) subset of them.

Teaching & Learning Mathematics with Technology using Numerical Methods,
Computer Algebra Systems & Linux Clusters!

Game of Life on a Hexapent

A website dedicated to the puzzling world of mathematics and programming

Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Although mathematics will help you arrive at elegant and efficient methods, the use of a computer and programming skills will be required to solve most problems.

J is a modern, high-level, general-purpose, high-performance programming language. J is portable and runs on Windows, Unix, Mac, and PocketPC handhelds, both as a GUI and in a console. True 64-bit J systems are available for XP64 or Linux64, on AMD64 or Intel EM64T platforms. J systems can be installed and distributed for free.

Why J?

J is particularly strong in the mathematical, statistical, and logical analysis of data. It is a powerful tool in building new and better solutions to old problems and even better at finding solutions where the problem is not already well understood.

spyderlib
Spyder is the Scientific PYthon Development EnviRonment

ref. wanching li

There are a number of important types of plots that are used in descriptive statistics. A common plot that is frequently used in newspapers and magazines is the histogram, a sequence of vertical bars, where the height of each bar represents a count of the data values falling in a "bin." The "count", "bins", and "bars" will be explained in the images that follow.

SciPy (pronounced "Sigh Pie") is open-source software for mathematics, science, and engineering. It is also the name of a very popular conference on scientific programming with Python. The SciPy library depends on NumPy, which provides convenient and fast N-dimensional array manipulation. The SciPy library is built to work with NumPy arrays, and provides many user-friendly and efficient numerical routines such as routines for numerical integration and optimization.

"A Mathematical Canvas?

Stimulating the brain with a very low electric current can enhance a person's maths ability for up to six months, British neuroscientists said on Thursday.

The Khan Academy is a not-for-profit 501(c)(3) with the mission of providing a world-class education to anyone, anywhere. Despite being the work of one man, Salman Khan, this 1600+ video library is the most-used educational video resource as measured by YouTube video views per day and unique users per month. We are complementing this ever-growing library with user-paced exercises--developed as an open source project--allowing the Khan Academy to become the free classroom for the World

ted2011; "In 2004, Salman Khan, a hedge fund analyst, began posting math tutorials on YouTube. Six years later, he has posted more than 2.000 tutorials, which are viewed nearly 100,000 times around the world each day"

Cookbook formulae for audio EQ biquad filter coefficients
by Robert Bristow-Johnson

Bridges Pécs 2010 - European Capital of Culture
World Conference
Mathematics, Music, Art, Architecture, Culture
2010 JULY 24-28, HUNGARY
A collaborative effort by Bridges Organization
www.BridgesMathArt.org & Pécs Cultural Centre's Pécs - Ars GEometrica Project
www.pecsikult.hu/en/bridges2010

The International annual conference of Bridges: Mathematical Connections in Art, Music, and Science was created in 1998 and is conducted annually. It has provided a remarkable model of how seemingly unrelated and even antipodal disciplines, such as mathematics and art, can be crossed. During the conference, practicing mathematicians, scientists, artists, educators, musicians, writers, computer scientists, sculptures, dancers, weavers, and model builders have come together in a lively and highly charged atmosphere of mutual exchange and encouragement.

Structure Synth is a cross-platform application for generating 3D structures by specifying a design grammar. Even simple systems may generate surprising and complex structures.

A Multidimensional dataflow processing library for PureData, designed for interactive multimedia

This website provides entire small prime numbers list. You can browse all small prime numbers(small than 10,000,000,000) here. There's totally 455042511 prime numbers.

The best free cultural & educational media on the web

Mathematicians will tell you that the only way to learn math is to do math. Lots of it. The same is true in music and sports. While with math you quickly find out whether you’re right or wrong at a very atomic level with each problem you try to solve, with music a student listens to a song many times before she tries to emulate it — and then gets feedback on a note-by-note basis