Tuesday, January 5, 2010. Simple Math Yields Intricate Visual Patterns. Polynomials, the meat and potatoes of high-school algebra, are foundational to many aspects of quantitative science. But it would take a particularly enthusiastic math teacher to think of these trusty workhorses as beautiful. As with so many phenomena, however, what is simple and straightforward in a single serving becomes intricately detailed—beautiful, even—in the collective. Posted by Laurel, Christine, Caeli, Sunny Rose.
The Beauty of Roots | Azimuth
The Beauty of Roots. I feel like talking about some pure math, just for fun on a Sunday afternooon. Back in 2006, Dan Christensen did something rather simple and got a surprisingly complex and interesting result. He took a whole bunch of polynomials with integer coefficients and drew their roots as points on the complex plane. The patterns were astounding! Polynomials, and about 24 × 2. Roots—or about 400 million roots! Here’s a closeup of the hole at 1:. Note the line along the real axis! But the feathe...
Steven Landsburg | The Big Questions: Tackling the Problems of Philosophy with Ideas from Mathematics, Economics, and Physics
August 13, 2016. For several years, TheBigQuestions.com has been hosted by Bluehost, and I’ve been very happy with their service. So: It’s time to move, I think. Those of you with relevant experience: Who do you recommend? To comment or read others’ comments. William Faulkner Foresees the Internet. August 10, 2016. 8212;The Town (Volume 2 of the Snopes Trilogy). To comment or read others’ comments. August 10, 2016. Will no one rid me of this meddlesome priest? 8211;Henry II, 1170. 8211;Donald Trump, 2016.
People and Places
Links to Personal Homepages. University of Sheffield Links. Department of Pure Mathematics Homepage. School of Mathematics and Statistics Homepage. University of Sheffield Homepage.
precalculus problems online: Causality First
Tuesday, August 31, 2010. As discussed in my last post. A very nice paper. Actually lecture notes) by Rafael Sorkin. Was helpful in summarizing causal set theory and its application to spacetime (hat tip: Dan Christensen. 8217;s page of quantum gravity links. According to Sorkin: “The causal set idea is, in essence, nothing more than an attempt to combine the twin ideas of discreteness and order to! Produce a structure on which a theory of quantum gravity can! Be based .”. Next, he discusses routes towar...