Often, when we're working with sets in mathematics, we tend to have sets with things like numbers in them. So we'll typically see statements like this one, which is more mathematical in …

Definition Empty set, denoted by φ, is a set with no elements. Definition Two sets are called disjoint if, and only if, they have no elements in common. Problems Let A = {1, 3, 5} and B = …

Think of a set as a box which contains (perhaps no) things. There is no repetition in a set, meaning each element must be unique. You could, for example, have variations on an …

Those who have taken vacations exactly two times of the year would be the triangular pieces that are the intersection of only two of the sets, this is all of the triangular pieces except the white …

The real numbers, natural numbers, rational numbers, and integers have special notation which is understood to stand for these sets of numbers. Corresponding bold face letters are also a …

If A and B are sets, we can create a new set named A B (spoken as “A minus B”) by starting with the set A and removing all of the objects from A that are also contained in the set B.

In this section we will define functions and extend much of our ability to work with sets to infinite sets. There are a number of different types of functions and so this section contains a great …