Last month, I wrote about the -Base, a website that serves a similar function to the book Counterexamples in Topology. I'm teaching a topology class this semester, and it's been fun to revisit some good counterexamples.
Can strings be the ultimate constituents of the universe–more fundamental than matter or energy, and even than space or time? If they’re not made of matter or energy, what are they, then?
On Monday, the Onion reported that the “Nation’s math teachers introduce 27 new trig functions.” It’s a funny read.
A year ago today, I published my first post on this blog! A lot has happened in that year, and I have had tons of fun with Roots of Unity. My favorite number is six, so here are my six most popular posts of the past year.
Daniel Tammet has memorized Pi to the 22,514th digit. He speaks ten different languages, including one of his own invention, and he can multiply enormous sums in his head within a matter of seconds.
Unless you’re holding a baby or a scalpel, drop everything and read this blog post about hypocycloids by John Baez. (And if you’re holding a scalpel, please put away whatever device you’re reading this on and pay attention to your surgery!) In addition to a lovely exposition by Baez, the post features some gorgeous animations [...]
I recently finished the excellent book Math on Trial by Leila Schneps and Coralie Colmez. In it, the authors collect examples where statistical errors have possibly altered the outcome of trials.
I gave my first midterm last week. I’m teaching a roughly junior level class for math majors, one of their first classes that is mostly focused on proofs rather than computations or algorithms.
This is a guest post from Lillian Pierce, who has been doing an interview series for the Association for Women in Mathematics. Her series has focused on women who are balancing motherhood with their mathematical careers.
Last week, life took me through Princeton, and I seized the opportunity to drop in to see resident English mathematician John Horton Conway.
This year for Math Poetry month, I read Proportions of the Heart: Poems that Play with Mathematics, a collection of poems by Emily Grosholz.
From her earliest memories, Catherine Good was good at math. By second grade she was performing at the fourth grade level, sometimes even helping the teacher grade other students’ work.
On Wednesday, four mathematicians will receive the prestigious Fields Medal at the International Congress of Mathematicians (ICM) in Seoul.
In 1879, Charles Dodgson, better known as Lewis Carroll, published an odd little book called Euclid and his Modern Rivals (available for free at the Internet Archive).
My last column outlined points I made in a February 18 debate at my school, Stevens Institute of Technology, about whether religion and science are compatible.
For Halloween, I wrote about a very scary topic: higher homotopy groups. Homotopy is an idea in topology, the field of math concerned with properties of shapes that stay the same no matter how you squish or stretch them, as long as you don’t tear them or glue things together.
A few months ago I wrote about some mystifying mathematical and geographic tiles I encountered at the National Tile Museum in Lisbon, Portugal.
Later this month, people will be gathering at museums and schools around the world to build giant Menger sponges as part of a global fractal extravaganza called MegaMenger.
Today is Ada Lovelace Day, an international celebration of women in science, technology, engineering, and math. If you’d like to read about women in math for the occasion, you're in serious danger of coming across an article about Hypatia, Emmy Noether, Sophie Germain, or Sofia Kovalevskaya.
I spent about a month in the UK earlier this summer, and that meant I took a lot of train trips. I love riding trains: the feeling of endless possibility I get when I look at the departure boards, the countryside rolling by, the fantastic people-watching, the two-hour delay between Edinburgh and Manchester because a [...]