Blogs about Mathematics

How fascination with a knight’s tour puzzle eventually led June Huh to a Fields Medal (\(\mathbb{M}\)). Why natural logarithms are abbreviated ln and not nl (\(\mathbb{M}\)). I found an early example of this notation in …

Welcome to "The Physicists’ Library": an expertly curated compilation of the best 33 physics books that every enthusiast, student, and professional physicist should consider exploring.

I bought a kayak a couple of weeks ago. It’s one of those fold-up jobs by Oru, and I got it instead of a more traditional kayak because it’s very light and can easily fit …

In a recent preprint, Siddharth Bhandari and Abhishek Khetan have improved the decades old upper bound on the trifference problem by using a clever combinatorial argument involving extremal graph theory. As discussed in my previous …

Continuing from the previous post, we have a website for the conference now, and you can now register for the conference. We are planning to have two poster sessions, and we might be able to …

This is the first in a series about the YouTube channel Numberphile. We are revisting each year and personally annotating our favorite videos.

In dual-frame sampling you take two samples from overlapping sampling frames and you need to downweight people who could have been chosen in either frame so the overlap of the two frames isn’t counted twice. …

Mark, a long-time reader of the blog, and fellow blogger, put up an interesting post about his experiences using Waze (link). He describes a gradual realization that when Waze sends him down some strange, indirect …

Roll up, roll up, roll up. Come hither come all to the Carnival of Mathematics. This is the 224th Edition of the longest running Maths Carnival. For those of you who are unaware, a “blog …

$\newcommand\R{\mathbb{R}}\newcommand\C{\mathbb{C}}\newcommand\Z{\mathbb{Z}}$ Chain Rule for Map between Open Subsets of Euclidean Space Let $M$ be an open subset of $\R^m$, $N$ be an open subset of $\R^n$, and $O$ be an open subset of $\R^p$. Let …

Let me share an announcement of a zoom lecture by Sheila Sundaram. The lecture (tomorrow, Sunday) is about the paper Koszulity, supersolvability, and Stirling representations, by Ayah Almousa, Victor Reiner, and Sheila Sundaram. _____________ Bar-Ilan …

Bill and Darling are watching Jeopardy.DARLING: Bill, one of the categories is MATH TALK. You will kick butt!BILL: Not clear. I doubt they will have the least number n such that R(n) is not known. …

. I continue my selective 5-year review of some of the posts revolving around the statistical significance test controversy from 2019. This post was first published on the blog on November 14, 2019. I feared …

I am, once again, in a bit of a mood. And the only thing that will fix my mood is a good martini and a Laplace approximation. And I’m all out of martinis. To be …

We all have some problem we are trying to solve. First off, if you can convert the problem to text, or increasingly pdfs, images, video, etc., then you might be able to use AI for …

The electronic version of the latest issue of the Girls’ Angle Bulletin is now available on our website. Can you figure out why the cover image is entitled Complete Domination? We open with the conclusion …

Joseph Cheriyan is on the faculty in the Combinatorics & Optimization Department of the University of Waterloo—see here. He is also an organizer of the conference celebrating the 100th anniversary of Ray Fulkerson’s birthday (August …

By and large, math journals treat the authors like a pesky annoyance, sort of the way a local electric company treats its customers. As in — yes, serving you is our business, but if you …

This will be a graduate course at the University of Notre Dame. Course title: Gödel incompleteness Course description. We shall explore at length all aspects of the Gödel incompleteness phenomenon, covering Turing’s solution of the …

The well-known Weierstrass approximation theorem says that polynomials are dense in C [0, 1]. That is, given any continuous function f on the unit interval, and any ε > 0, you can find a polynomial …