Version 6.0 represented a major step forward in visualization and graphics, with many new and original concepts. Among them was full integration of Mathematica symbolic ...

Quotient[m, n] gives the integer quotient of m and n. Quotient[m, n, d] uses an offset d.

Mathematica uses the powerful idea of building up all 2D and 3D graphics from symbolic primitives—which can be manipulated using all standard Mathematica functions and ...

AstronomicalData["name", " property"] gives the value of the specified property of the astronomical object with the specified name.AstronomicalData["name", {"property", ...

You can use the Mathematica function DSolve to find symbolic solutions to ordinary and partial differential equations. Solving a differential equation consists essentially in ...

Mathematica has a wide coverage of named functions defined by sums and recurrence relations. Often using original algorithms developed at Wolfram Research, Mathematica ...

FindFit[data, expr, pars, vars] finds numerical values of the parameters pars that make expr give a best fit to data as a function of vars. The data can have the form {{x_1, ...

FirstIntegrals[f, x[t], t] returns a list of first integrals corresponding to the coordinate x[t] and independent variable t of the integrand f.FirstIntegrals[f, {x[t], y[t], ...

These "How tos" give step-by-step instructions for common tasks related to calculus in Mathematica .

The general first-order nonlinear PDE for an unknown function u(x,y) is given by Here F is a function of uu(x,y), p ( ∂u(x,y) ) / ( ∂x ) , and q ( ∂u(x,y) ) / ( ∂y ) . The ...