At this page you find some selected links ordered by topic, where we have laid emphasis on interactive learning material which needs no download or additional software, although some spreadsheets (requiring Microsoft Excel to run on your computer) and other media have been included.

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Links ordered by topic

Numbers
Prime number generator (applet) Generates a list of prime numbers.
The Prime Machine (applets) Generates prime numbers by means of the Sieve of Eratosthenes and illustrates theorems and conjectures about prime numbers. Also see Notes and Literature on Prime Numbers and The 1000 smallest prime numbers.
The Prime Pages. What you always wanted to know about prime numbers. Comprehensive collection of information and links.
GIMPS finds 2^3021377-1 is prime. The largest known prime, found in January 1998 (Status of July 1998).
The Pi Page and The Uselessless of Pi and its irrational friends offer information and links concerning the number p as well as other number theoretic issues. Also see The p Pages. You can look at the first hundred thousand decimal digits of p. Also see Archimedes and the Computation of Pi (applet).
Table of Mathematical Constants. A long list, of course containing p und e, ordered by size, with additional links. Alternatively: ordered by mathematical topic.
Inverse Symbolic Calculator is a collection of programs and tables about mathematical constants.
Vernier (applet) Very nice illustration of the Nonius principle.
Resources on number theory of the Math Forum. Here you find numerous offers on the topic.
Frequently Asked Questions in Mathematics (Table of contents) of the University of New Brunswick (Canada) contains many interesting issues on number theory and fundamental questions, although by extensive use of the mathematical formalism.

Elementary geometry
Pythagorean Theorem (applet) Two versions of the proof, realized in a marvellous way. The steps of the proof can be done by the user him/herself
The Theorem of Pythagoras (applet) The proof in a version where the user just watches.
Pythagorean Theorem. 29 proofs of the theorem and further links.
TheKnotPlot Site offers material and visualization on mathematical knots.
3d visualizer of mathematical figures (applet) From the tetrahedron and the Möbius strip to the teapot.

Linear algebra
Java Script Linear Algebra (JavaScript) Some pages about how to manipulate 3 × 3 matrices (multiply, invert,...) and systems of linear equations in 3 variables. A particularly useful tool is the Java Script Linear Algebra Calculator. On page III systems of equations may be solved numerically. The same author also offers a Matrix Calculator Applet capable of dealing with n × n matrices, and a short outline of the mathematics behind (also see his maths pages).
Linear Equation Solver (applet) Numerical Solution of systems of linear equations in 3 variables.

Vectors
Vector Arithmetic (some applets) Elementary operations with vectors, e.g. a nice 3D visualization of the significance of vector components.
The Vector Cross Product (applet) 3D visualization

Curves
Famous Curves (graphics and applets) More than sixty famous plane curves or families of curves are discussed and represented graphically. In the applet versions their parameters may be changed interactively. See also the Famous Curves Applet Index. (School of Mathematical and Computational Sciences, University of St Andrews, Scotland).

Probability and statistics
StatApplet (applet) A simple statistics program and a short outline of the mathematics behind.
WebStat (Applet) Statistics package, offering numerical and graphical standard methods.
Virtual Laboratories in Probability and Statistics (Text, Applets) Extensive online tutorial on probability and statistics.
Collelation Visualized (spreadsheet) See a data set with a given correlation coefficient, and change the correlation by moving a slider.
Financing Retirement Payments in the Future in Austria: Some Scenarios (spreadsheet)
Demographical models for Austria, USA, and Japan (spreadsheet)
VassarStats Web Site for Statistical Computation (several JavaScripts) Online programs on topics like statistical tests, simulation, correlation and regression. However be cautious: Feeding them with numerical values in forbidden ranges may cause a browser crash!

Numerical methods
Bisection Method Tutorial (applet) Illustates the bisection method to numerically solve equations of the form f(x)=0 for some selected functions f.
Numerical Integration Tutorial (applet) Some methods for numerical integration are applied to a number of selected functions and illustrated graphically in a nice way.

Fractals
Mandelbrot Explorer. Stepwise zoom into the mandelbrot set! (Easy to handle: choose a zoom factor and click at an arbitrary point).
Julia and Mandelbrot Set Explorer. Zoom program. The author's Pix Gallery provides further material and visualizations on fractal and chaos issues.
The Mandelbrot Set (applet) Very nice Mandelbrot images. The loading times are long, but it is worth waiting.
Fractals in Science (some applets) A number of visualizations on fractals, random walk and applications in molecular dynamics, provided by the Center for Polymer Studies (Boston University). Image gallery and fractal related software on download. Particularly helpful for beginners: Fractal Coastlines and the Monte Carlo Estimation of Pi.
The Fractal Microscope provides some web pages with images and diverse information about fractals and their visualization on modern supercomputers.
Fractal pictures and animations. Archive of images and (downloadable) videos on fractals.
Mandelbrot Exhibition. Links to websites on fractals and chaos.
Sprott's Gateway. Unter the heading "Fractals" you find some links leading to material about fractals. In particular see Carlson's Fractal Gallery.
The School of the Web by M. Casco provides rich material and online animations on chaos theory and fractals.
Ulli's Fractal Home is a rich site offering material on fractals (interactive applets, graphics, texts and download).

Fourier analysis
Realtime Fourier sound synthesis (spreadsheet) Sound generator: Determine the intensities of overtones by means of a scroll bar and listen to the according sound. (Even without sound utility, the graphical side of this spreadsheet is a nice illustration of the Fourier series).

History of mathematics
Math History of the Math Forum Internet Resource Collection. Numerous links.
Biographies of Women Mathematicians. Also offers related resources on the web.
MacTutor History of Mathematics archive (in particular see the History Topics Index).

And...
Cornell University Library Math Book Collection - more than 570 math books were scanned form the originals and may be read online.
Unsolved Mathematical Problems. A long list.
 
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