IntroductionA fully functional trial version of Mathgrapher has just been released. You are invited to download it. Install Mathgrapher, start the Demonstrations and see what Mathgrapher can do for you. Purchasing will be possible in a few weeks. Functions in 2D and 3D MathGrapher is a graphical calculator for functions of the form F(x) and F(x,y) containing up to 20 subfunctions and 150 numerical and 100 named constants. Cartesian as well as polar coordinates can be chosen and functions can be represented in patametrized form (2D). F(x,y) can be represented in 2D and 3D by Shaded surfaces, Contour plots and Cross-sections through Contourplots. In the 3D viewer you may rapidly vary the viewing angle, distance and shading of the 3D surface using your mouse. Data in 2D and 3D Edit and draw graphs of your 2D or 3D Data. 3D surfaces can be previewed in the 3D viewer (OpenGL). Shaded surfaces, Contour plots and Cross-sections through Contour plots can be drawn in same way as 3D Functions. Curve fitting (linear and non-linear) A number of least squares curve fitting methods can be selected: e.g. linear regression, polynomials, trigonometric polynomials and cubic splines. An important feature of this program is that you can use the general and powerfull (non-linear) Levenberg-Marquardt method to fit your data to any continuous function you define. Iterations Calculate algebraic series or study iterative multi-dimensional maps. Several mathematical tools are available to analyse the results (zie ODE's below). Look at the examples to see how you may use Mathgrapher to study the route to chaos via period doublings in the simple logistic mapOrdinary Differential Equations (ODE's) The evolution of dynamical systems in physics, chemistry, electronics, economics and population dynamics can often be described with a set of coupled ODE's. Mathgrapher uses an accurate Adams-Bashforth variable order, variable step predictor-corrector algorithm to integrate systems of up to 20 coupled ODE's. Several tools are available to analyse the results of the integrations (and iterations) such as: Graph of the time evolution, Projections in 2 or 3 dimensions, Surfaces of Section and Power spectrum analysis.

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MathGrapher

The mathematical graphing tool for students, scientists and engineers. Draw and analyse Functions and Data in 2D and 3D. Draw surface graphs, contour plots and cross-sections through contour plots. Includes nonlinear curve fitting and integration of coupled ordinary differential equations. Study chaos in dynamical systems.