You're probably familiar with what a function is: it's a formula or rule that describes a relationship between one number and another. For example, the function $f(x) = |x| + 1$ describes the relationship between a number and its absolute value plus …
An important way of thinking about a set is seeing how the elements are related to each other. For example, some elements of a set might be less than others, some might be equal, and some might belong together because they are even. For example, …
This blog post caps off our series on mathematical induction by discussing another type of induction: proof by strong induction. This is a type of induction that we need to use it doesn't make sense to start from our base case. Instead, we have to …
In the previous blog post, we talked about how to prove statements using mathematical induction. In this post, we'll continue exploring mathematical induction, this time concentrating on statements expressed as summation formulae. What are summation …
I'm currently studying abstract mathematics for my maths degree, which involves learning how to prove all sorts of statements. One type of proof I really struggled with initially was proof by mathematical induction. However, after being recommended …
