A Friendly Introduction to Abstract Algebra II

An In depth study into what makes an Algebraic Structure a group

Having gone through the definition of a group along with a few examples in the previous article, we shall now explore, in more detail, what makes an Algebraic Structure (G,*) a group. (Yes I know cornered brackets were used in the previous article, but due to <G> already being the…

A Friendly Introduction To Abstract Algebra

It is safe to say most people are familiar with Algebra from High School which involves solving and manipulating equations where operation(s) is/are defined. In Abstract Algebra ,however, we set out to find the hidden rules or assumptions we make when solving equations. …

Using D-Operators As Objects To Solve An ODE .

Now that we’ve climbed the Olympus of abstractness when we explored what Objects and Operators are, I believe you are ready to put what you know to good use as we now focus our attention on the D-Operator method, an algorithm for getting the particular solution of an Ordinary Differential…

Understanding mathematical objects is paramount to problem solving because if you don't even know the players involved you can't understand what the problem is in the first place. In my last post we saw what mathematics objects are and we dealt with two…

Last time we explored the importance of thinking about questions by virtue of two examples; one basic and the other requiring a bit more work. Now in this article we focus on understanding the key players in a mathematical problem. Objects and the operators that act on them.

Objects

What is… 