Functions in Mathematica are carefully set up so that you normally do not have to know how they work inside. But particularly for numerical functions that use iterative ...

Mathematica by default interprets any sequence of letters or letter-like forms as the name of a symbol. All these are treated by Mathematica as symbols. Symbols with built-in ...

When you enter a piece of input such as 2+2, Mathematica first recognizes the + as an operator and constructs the expression Plus[2,2], then uses the built-in rules for Plus ...

Many aspects of the Mathematica front end such as the styles of cells, the appearance of notebooks, or the parameters used in typesetting are controlled by options. For ...

The fundamental operation that Mathematica performs is evaluation. Whenever you enter an expression, Mathematica evaluates the expression, then returns the result. Evaluation ...

Functions like Read and Find are most often used for processing text and data from external files. In some cases, however, you may find it convenient to use these same ...

For ordinary polynomials, Factor and Expand give the most important forms. For rational expressions, there are many different forms that can be useful. Different kinds of ...

"Sound" describes how you can take functions and lists of data and produce sounds from them. Here we discuss how sounds are represented in Mathematica. Mathematica treats ...

Mathematica is one of the more complex software systems ever constructed. It is built from several million lines of source code, written in C/C++, Java and Mathematica. The C ...

Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting ...