Important points to remember in Mathematica. If you have used other computer systems before, you will probably notice some similarities and some differences. Often you will ...

The Mathematica function Integrate[f,x] gives you the indefinite integral ∫f dx. You can think of the operation of indefinite integration as being an inverse of ...

Different kinds of vector and matrix multiplication. This multiplies each element of the vector by the scalar k. The "dot" operator gives the scalar product of two vectors.

Consider the matrix differential equation where the initial value y_0 y(0)∈^m×p is given. Assume that y_0^Ty_0I, that the solution has the property of preserving ...

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 ...

"Basic Plotting" describes how to plot curves in Mathematica in which you give the y coordinate of each point as a function of the x coordinate. You can also use Mathematica ...

Since lists are just a particular kind of expression, it will come as no surprise that you can refer to parts of any expression much as you refer to parts of a list. This ...

You can give Solve a list of simultaneous equations to solve. Solve can find explicit solutions for a large class of simultaneous polynomial equations. Here is a simple ...

As discussed in "The Structure of Graphics and Sound", Mathematica includes a full graphics programming language. In this language, you can set up many different kinds of ...

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 ...