JAME is an application for creating fractals and other graphics artifacts. JAME is written in Java language, with some native code to accelerate encoding of videos and images. JAME has a real-time, multi-threaded graphics engine with layers, filters, effects, a lot of formulas, and parameters. JAME supports operations such as continuous zoom of Mandelbrot and Julia sets, rotation and color shifting. JAME has also advanced features such as networked computation and scripting. You can take photos of your fractals or record movies from your exploration paths. Photos and movies are stored in a database to be rendered in high resolution and exported to a file. JAME can be extended by plug-ins which provide fractals, formulas, filters, effects and more. JAME is free software licensed under GPL.

Armadillo is an open-source C++ linear algebra library (matrix maths) aiming towards a good balance between speed and ease of use. Integer, floating point and complex numbers are supported, as well as a subset of trigonometric and statistics functions.

To our best knowledge, there are no problem books on cosmology yet, that would include its spectacular recent achievements. We believe there is a strong need for such now, when cosmology is swiftly becoming a strict and vast science, and the book would be extremely useful for the youth pouring in this area of research. Indeed, the only way to rise over the popular level in any science is to master its alphabet, that is, to learn to solve problems.
Of course, most of modern textbooks on cosmology include problems. However, a reader, exhausted by high theory, may often be thwarted by the lack of time and strength to solve them. Might it be worth sometimes to change the tactics and just throw those who wish to learn to swim into the water?
The proposed problems constitute our contribution to this cause. There are over 1000 problems, divided into 14 chapters, covering topics from the dynamics of the expanding Universe and CMB to cosmology beyond the Lambda-CDM model and holography. We intend to publish their solutions in later editions. The reader, however, is encouraged to look for answers independently, even though - or especially so because - the problems range from easy to not quite and from elements of scientific folklore already to those with answers not quite settled.

GNU Data Language (GDL) is a free/libre/open source incremental compiler compatible with IDL and to some extent with PV-WAVE. Together with its library routines it serves as a tool for data analysis and visualization in such disciplines as astronomy, geosciences and medical imaging. GDL is free software licensed under the GPL. GDL is developed by an international team of volunteers led by Marc Schellens - the project's founder

The Endeavour
The blog of John D. Cook

This is a special collection of problems that were given to select applicants during oral entrance exams to the math department of Moscow State University. These problems were designed to prevent Jews and other undesirables from getting a passing grade. Among problems that were used by the department to blackball unwanted candidate students, these problems are distinguished by having a simple solution that is difficult to find. Using problems with a simple solution protected the administration from extra complaints and appeals. This collection therefore has mathematical as well as historical value.

In the late 1960s British mathematician John Conway invented a virtual mathematical machine that operates on a two-dimensional array of square cell. Each cell takes two states, live and dead. The cells’ states are updated simultaneously and in discrete time. A dead cell comes to life if it has exactly three live neighbours. A live cell remains alive if two or three of its neighbours are alive, otherwise the cell dies. The Conway’s Game of Life became the most programmed solitary game and the most known cellular automaton. The book brings together results of forty years of study into computational, mathematical, physical and engineering aspects of the Game of Life cellular automata. Selected topics include phenomenology and statistical behaviour; space-time dynamics on Penrose tilling and hyperbolic spaces; generation of music; algebraic properties; modelling of financial markets; semi-quantum extensions; predicting emergence; dual-graph based analysis; fuzzy, limit behaviour and ...

Narcissistic numbers are numbers that are 'in love with themselves'. Madachy (1966) defines them as numbers that "are representable, in some way, by mathematically manipulating the digits of the numbers themselves".

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

Naïve upsampling of pixel art images leads to unsatisfactory results. Our algorithm extracts a smooth, resolution-independent vector representation from the image which is suitable for high-resolution display devices

Anyone who works with LaTeX knows how time-consuming it can be to find a symbol in symbols-a4.pdf that you just can't memorize. Detexify is an attempt to simplify this search.

Welcome to Visual6502.org! Here we'll slowly but surely present our small team's effort to preserve, study, and document historic computers. We aim to present our work in a visual, intuitive manner for education and inspiration, and to serve as a solid verifiable reference for classic computer systems. See our slides for an introduction and some fun images.

Nature 427, 388-389 (29 January 2004) | doi:10.1038/427388a (restricted)

A reclusive Russian claims to have solved a century-old mathematical problem — but his enigmatic personality is adding a fresh dimension to the proof-checking process. Emily Singer reports.

Quantum mechanics describes strange phenomena far beyond the realm of everyday experience. Computer visualization is sometimes the only method to observe what cannot be seen by any other means.

This is a collection of movie clips in which Mathematics appears. I'm collecting DVDs and VHS tapes of such movies. This is a working document to be extended over time. I started this page during spring break 2006. See also the page "Begin of lectures in college teaching" and "End of lectures in college teaching" and "Examples of good talks". To see the movies larger, to see it on the iphone or include it ina presentation, chose the quicktime ipod version, which are files with .m4v extension. (Media RSS link).

Electronic journal

Published by Mathematical Institute, Belgrade

Editor: Slavik Jablan

ISSN 1821-1437 (online)

"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics.

Ekee produces images interactively from LaTeX expressions. Drag and drop in several common formats (PNG, SVG, PDF, EPS) to other applications is supported. Ekee can reopen the equations it has created in PNG format. It is free software, released under the GPL.

Wer als Schüler, Student, Ingenieur oder Wissenschaftler Datenreihen und mathematischen Funktionen darstellen will und über elementare Python-Kenntnisse verfügt, der sollte sich diesen Artikel einmal genauer ansehen.

:: twisted pencil ::

Ruskeepaa gives a general introduction to the most recent versions of Mathematica, the symbolic computation software from Wolfram. The book emphasizes graphics, methods of applied mathematics and statistics, and programming. Mathematica Navigator can be used both as a tutorial and as a handbook. While no previous experience with Mathematica is required, most chapters also include advanced material, so that the book will be a valuable resource for both beginners and experienced users.

How do you spark off an interest in maths when the curriculum seems dreary? It's all about mystery, big stories and journeys to infinity and beyond, says Marcus du Sautoy

In a paper [1] on quantum theory, the Autor had to find a general formula for the surfaces of spheres in n-dimensional complex spaces. Since the focus was then strictly physical, the math has been reduced to a bare minimum.

This Note is the first one of a series exploring the mathematical aspects of the topic in more detail and in a step-by-step manner. It focuses on the evaluation of integrals of products of powers of Cartesian vector components over the volumes of n-dimensional spheres and ellipsoids in real, n-dimensional Euclidean spaces. The integrals tackled here are expressed by means explicit formulae which merit attention on their own.

The OSP Collection provides curriculum resources that engage students in physics, computation, and computer modeling. Computational physics and computer modeling provide students with new ways to understand, describe, explain, and predict physical phenomena.

... a black belt in mathematics LOL

Russische Seite mit haufenweise "kopierter" Fachliteratur... Hat gerade meinen Tag gerettet, das die Bibliotheken über das verlängerte WE geschlossen sind :-)

texdrive is an emacs minor-mode for adding mathematical equations to html-pages

The Mandelbrot Set is one of my hobbies, and I have collected a large amount of information about it. To organize that information I have created Mu-Ency, a large collection of text files linked to each other.

The fourteen chapters of this book cover the central ideas and concepts of chaos and fractals as well as many related topics including: the Mandelbrot set, Julia sets, cellular automata, L-systems, percolation and strange attractors. This new edition has been thoroughly revised throughout. The appendices of the original edition were taken out since more recent publications cover this material in more depth. Instead of the focussed computer programs in BASIC, the authors provide 10 interactive JAVA-applets for this second edition.

This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3-j, 6-j, and 9-j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.

The Math behind Numb3rs

nützlich für Nachilfe

The Online Encyclopaedia of Mathematics is the most up-to-date and comprehensive English-language graduate-level reference work in the field of mathematics today. This online edition comprises more than 8,000 entries and illuminates nearly 50,000 notions