Non-Standard Evaluation (Mathematica Tutorial)

While most built-in Mathematica functions follow the standard evaluation procedure, some important ones do not. For example, most of the Mathematica functions associated with ...

Numerical Integration (Mathematica Tutorial)

Numerical integration functions. This finds a numerical approximation to the integral ∫_(0)^∞ e^-x^3 x. Here is the numerical value of the double integral ∫_(-1)^1 dx ...

Quantifiers (Mathematica Tutorial)

In a statement like x^4+x^2>0, Mathematica treats the variable x as having a definite, though unspecified, value. Sometimes, however, it is useful to be able to make ...

Sparse Arrays: Manipulating Lists (Mathematica Tutorial)

Lists are normally specified in Mathematica just by giving explicit lists of their elements. But particularly in working with large arrays, it is often useful instead to be ...

Three-Dimensional Surface Plots (Mathematica Tutorial)

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 ...

Using Assumptions (Mathematica Tutorial)

Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...

Creating Tables with Raw SQL (DatabaseLink Tutorial)

The raw SQL command CREATE TABLE creates tables in a database. An alternative is to use the Mathematica command SQLCreateTable, described in "Creating Tables". If you find ...

Notation, Symbolize and InfixNotation (Notation Package Tutorial)

Syntax of notation declarations. Notation takes both an external representation and an internal representation as arguments. Mathematica translates any input matching the ...

Algebraic Operations on Polynomials (Mathematica Tutorial)

For many kinds of practical calculations, the only operations you will need to perform on polynomials are essentially structural ones. If you do more advanced algebra with ...

Components and Data Structures (Mathematica Tutorial)

NDSolve is broken up into several basic steps. For advanced usage, it can sometimes be advantageous to access components to carry out each of these steps separately. NDSolve ...