You can do arithmetic with Mathematica just as you would on an electronic calculator. This is the sum of two numbers. Here the / stands for division, and the ^ stands for ...

Mathematica usually pays no attention to whether variables like x stand for real or complex numbers. Sometimes, however, you may want to make transformations which are ...

There are four kinds of bracketing used in Mathematica. Each kind of bracketing has a very different meaning. It is important that you remember all of them. The four kinds of ...

The Structure of Graphics Two-Dimensional Graphics Elements Graphics Directives and Options

Functions for grouping together elements of lists. Here is a list. This groups the elements of the list in pairs, throwing away the single element left at the end.

Finding the structure of polynomials written in expanded form. Here is a polynomial in two variables. This is the polynomial in expanded form.

In general, a system of ordinary differential equations (ODEs) can be expressed in the normal form, The derivatives of the dependent variables x are expressed explicitly in ...

There are four major areas in the study of ordinary differential equations that are of interest in pure and applied science. Of these four areas, the study of exact solutions ...

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