When you define a complicated function, you will often want to let some of the arguments of the function be "optional". If you do not give those arguments explicitly, you ...

Simplify[expr] performs a sequence of algebraic and other transformations on expr, and returns the simplest form it finds. Simplify[expr, assum] does simplification using ...

Introduction ODE Integration Methods Partial Differential Equations

Some common operations on special functions. Most special functions have simpler forms when given certain specific arguments. Mathematica will automatically simplify special ...

Inverse[m] gives the inverse of a square matrix m.

Mathematica provides built-in support for both programmatic and interactive image processing, fully integrated with Mathematica's powerful mathematical and algorithmic ...

Module and With allow you to give a specific list of symbols whose names you want to treat as local. In some situations, however, you want to automatically treat certain ...

ShannonWavelet[] represents the Shannon wavelet evaluated on the equally spaced interval {-10, 10}. ShannonWavelet[lim] represents the Shannon wavelet evaluated on the ...

Mathematica 8 adds major new areas, including probability and statistics, graphs and networks, computational finance, control systems, wavelet analysis, and group theory. ...

Building on Mathematica's unique base of visualization and graphics capabilities, Mathematica 7 adds several important new areas. Emphasizing integration and automation, ...