One of the most powerful aspects of graphics in Mathematica is the availability of three-dimensional as well as two-dimensional graphics primitives. By combining ...

Basic 3D plotting function. This makes a three-dimensional plot of the function sin(xy). Three-dimensional graphics can be rotated in place by dragging the mouse inside of ...

Total differentiation operations. When you find the derivative of some expression f with respect to x, you are effectively finding out how fast f changes as you vary x. Often ...

The standard way in which Mathematica works is to take any expression you give as input, evaluate the expression completely, and then return the result. When you are trying ...

TraditionalForm differs from StandardForm, the default format for input and output. It is important to understand that TraditionalForm expressions cannot always be provided ...

Applying Transformation Rules Manipulating Sets of Transformation Rules Making Definitions

"Values for Symbols" discussed how you can use transformation rules of the form x->value to replace symbols by values. The notion of transformation rules in Mathematica is, ...

There are often many different ways to write the same algebraic expression. As one example, the expression (1+x)^2 can be written as 1+2x+x^2. Mathematica provides a large ...

TreePlot lays out the vertices of a graph in a tree of successive layers, or a collection of trees. If the graph g is not a tree, TreePlot lays out its vertices on the basis ...

Functions for manipulating trigonometric expressions. This expands out a trigonometric expression. This factors the expression.