GNU Octave is a high-level interpreted language, primarily intended for numerical computations. It provides capabilities for the numerical solution of linear and nonlinear problems, and for performing other numerical experiments. It also provides extensive graphics capabilities for data visualization and manipulation. Octave is normally used through its interactive command line interface, but it can also be used to write non-interactive programs. The Octave language is quite similar to Matlab so that most programs are easily portable.

A manifold is an abstract mathematical space in which every point has a neighborhood which resembles Euclidean space, but in which the global structure may be more complicated.

GNU Octave is a high-level language, primarily intended for numerical computations.

This is an undergraduate course on differential calculus in one and several dimensions.

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product as spaces. Eigenvalues and eigenvectors; linear transformations.

A Python distribution that comes with even more useful capabilities already installed and ready for use.

R provides a wide variety of statistical (linear and nonlinear modelling, classical statistical tests, time-series analysis, classification, clustering, ...) and graphical techniques, and is highly extensible.

RPy is a very simple, yet robust, Python interface to the R statistical programming language.

SciPy includes modules for graphics and plotting, optimization, integration, special functions, signal and image processing, genetic algorithms, ODE solvers, and others.

Using numarray, it is possible to write many efficient numerical data processing applications directly in Python without using any C, C++ or Fortran code.

Pareto efficiency, or Pareto optimality, is a central theory in economics with broad applications in game theory, engineering and the social sciences.

For someone like me, a programmer interested in creating better user interfaces, this is a really good book...

These grammars are sets of non-deterministic rules to produce images. The images are surprisingly beautiful

David Foster Wallace could easily have come as close as anyone could to achieving the aim of this book - to give an understanding of the mathematical concept of infinity to the educated layman...

Rudy Rucker, son of a cleric and mathematics whiz kid, produced this book on `Infinity and the Mind' years ago, but reading and re-reading it, I continue to get insights and the chance to wrap my mind around strange concepts...

...this book is one of most informative and legible books on wavelt theories and applications...

matplotlib is a python 2D plotting library which produces publication quality figures in a variety of hardcopy formats and interactive GUI environments across platforms.

A general-purpose MAX/MSP tool for the production of data sonifications and other applications in which reading multi-column spreadsheet data is necessary.

A bezier patch is specified by a number of points (control points) and a tessellation factor to determine smoothness (higher factor equals smoother surfaces).

This article is intended for Flash developer and to anyone interested in bezier curves.

In a three-dimensional space, a hyperplane is the usual plane. In a two-dimensional space, a hyperplane is a line. In a one-dimensional space, a hyperplane is a point.

A dictionary of algorithms, algorithmic techniques, data structures, archetypical problems, and related definitions.

A wide range of mathematical routines such as random number generators, special functions and least-squares fitting.