Luckily, such a formula exists, and there are lots of ways to find it. In this post, we’ll find it using power series. Read on, brave bunny farmer… A Golden Formal Power Series Courtney Gibbons Hamilton College Some days, I feel a lot like the angel in Dürer’s Melencolia IRead More →
Either math makes no sense at all, or integration by substitution is much deeper and more profound than we've given it credit for. I hope to convince you of the latter… Elliptic Functions, Doughnuts, and a Secret Integration Technique Anil Venkatesh Adelphi University Introduction Let's start with some pictures. What'sRead More →
In 1915, the paper “Note on an Operation of the Third Grade” by Albert A. Bennett appeared in the Annals of Mathematics. A terse two-page note, it was largely neglected until the early 2000s… Hyperoperations, Distributivity, and the Unreasonable Effectiveness of Multiplication Anil Venkatesh Adelphi University Iterated Operations Everyone knowsRead More →
Alan Turing and the Countability of Computable Numbers Turing's methodology was unique: he imagined hypothetical machines that could perform complicated mathematical tasks in a deterministic manner, in the way computers do today. In this way, he inadvertently kickstarted the entire field of modern computer science... Adam A. Smith University ofRead More →