The differential equations that arise in practice are of two types. Here is an example of the first type. Here is an example of the second type. This equation has a symbolic ...

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...

The Developer Utilities Package includes functions that directly access specific internal algorithms and capabilities of Mathematica that are normally used only as part of ...

Using a host of original algorithms developed at Wolfram Research, Mathematica provides powerful functions that automate the process of creating cognitively and aesthetically ...

Mathematica provides hundreds of options to control every aspect of the construction and styling of graphics. The options are carefully designed to be both flexible and ...

A "How to" describes how to carry out particular tasks with Mathematica, giving step-by-step instructions for common cases.

Mathematica 8 adds a number of new areas for visualization, including statistical, financial, wavelet, and control-related visualizations. These areas all provide a high ...

 

Mathematica ' s differential equation solving functions can be applied to many different classes of differential equations, automatically selecting the appropriate algorithms ...

Some basic matrix operations. Transposing a matrix interchanges the rows and columns in the matrix. If you transpose an m×n matrix, you get an n×m matrix as the result. ...