Tag Archives: set

2 Real numbers and Field axioms concept

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2 videos on the concept of Real numbers and sets around it.  In the first video we will learn what do we mean by a set of numbers, certain notations related to sets, the set of no element that is phi. Then we will specify all the subsets of the set of Real numbers i.e Natural numbers, rational numbers, irrational numbers and integers and a comparison of all.
In the second video we will talk about the algebraic properties related to R. These include the field properties, the order properties, completeness. These axioms show that R is an ordered Field. Continue reading →

5 concepts related to relation on a set

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The videos on this post will make you understand the concept behind the various types of relation on a set. Relation is a topic in discrete mathematics that we must understand before trying to learn about mathematical functions. First, we will define what is a relation and then we will try to look at different type of relations.

In the following videos we will try to learn about void, universal and identity relations. We will also try to compare identity relation with the reflexivity property of certain relations. These concepts will help us understand the notion behind mathematical functions more clearly. Continue reading →