What is Abstract Algebra?
<p>Abstract algebra is one of the foundational fields of modern mathematics. It contains a wide variety of subfields and has an immense number of applications. More specifically, abstract algebra is the study of <strong>algebraic structures</strong>, which are all sorts of things like <em>groups</em>, <em>rings</em>, <em>fields</em>, <em>modules</em>, <em>magmas</em>, and many more! In this article, I am going to discuss the history of abstract algebra, introduce you to some of its basic concepts, and provide some links to learn more about this fascinating area of mathematics.</p>
<h1>The History</h1>
<p>Algebra traces its roots in the study of polynomials. We can see the first evidence of polynomials dating all the way back to ancient Babylon around 1800 B.C. It is incredible how old this area of study is! There is a clay tablet from this time period called the <a href="https://en.wikipedia.org/wiki/Plimpton_322" rel="noopener ugc nofollow" target="_blank">Plimpton 322</a> which contains a list of Pythagorean triples!</p>
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