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.
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.
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.
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 map
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.
Functions of the form F(x) and F(x,y) containing up to 20 subfunctions, 30 special functions, 150 numerical and 100 named constants.
Functions of the form F(x) can be integrated, differentiated or searched for zeroes and extrema. Cartesian as well as Polar coordinates can be chosen and functions can be represented in parametrizised form (i.e. y(t) versus x(t)).
F(x,y) can be represented by Shaded surfaces, Contourplots and Cross-sections through Contourplots. The 3D viewer provides a quick view of the shaded surface from different viewing angles and distances. Rotate the surface, zoom in/out or change the position of the light source by moving the mouse
A graph of F1 = x in polar coordinates (implying F1 = r = (x2+y2)1/2 or transformation of F1 = Y => F1*sin(x) and X => x*cos(x)
F1 = sin(3x) in polar coordinates
