Whenever Mathematica draws a three-dimensional object, it always effectively puts a cuboidal box around the object. With the default option setting Boxed->True, Mathematica ...

Partial differentiation operations. This gives ( ∂ ) / ( ∂x ) x^n. This gives the third derivative.

The main equations that Solve and related Mathematica functions deal with are polynomial equations. It is easy to solve a linear equation in  x. One can also solve quadratic ...

The built-in Mathematica iteration functions such as Table and Sum evaluate their arguments in a slightly special way. When evaluating an expression like Table[f,{i,i_max}], ...

Mathematica notebooks provide the basic technology that you need to be able to create a very wide range of sophisticated interactive documents. But to get the best out of ...

Here is one way to enter a particular expression. Here is another way to enter the same expression. With a notebook front end, you can also enter the expression directly in ...

Steps in the operation of Mathematica. When you type something like x^2 what Mathematica at first sees is just the string of characters x, ^, 2. But with the usual way that ...

One of the most common uses of MathLink is to allow you to call functions in an external program from within Mathematica. Once the external program has been set up, all you ...

Numerical solution of differential equations. This generates a numerical solution to the equation y^′(x)y(x) with 0<x<2. The result is given in terms of an ...

Numerical sums and products. This gives a numerical approximation to ∑_(i=1)^∞((1)/(i^3+i!)). There is no exact result for this sum, so Mathematica leaves it in a symbolic ...