Christian Goldbach (1690-1764) was a Prussian mathematician and contemporary of Euler. One of the most famous unproven conjectures in number theory is known as Goldbach’s Conjecture, which states that every even number greater than...

Part 1> import Data.CharA Statement of the ProblemThe problem I ultimately want to solve, and its solution, is described in the paper Target Enumeration via Euler Characteristic Integrals. My goal here is to show how to implement th...

Using LaTeX was so much easier than HTML that I'm doing it again. The PDF is here and the literate Haskell source is here.AbstractThe problem I ultimately want to solve, and its solution, is described in the paper Target Enumeration...

If you like to program math puzzles, you probably know about Project Euler; in fact, it was that site that inspired Programming Praxis. We don’t usually do math puzzles here, because Project Euler does them better, but the occasion...

Now that we know a little more about characteristic functions, let’s see how they can be used to understand the inclusion-exclusion principle. Our first pass was through a very categorified lens, which was a neat tie-in to Euler ch...

(For those who missed them, the first day was about π, and the the second day was about ζ(2); what will the third day reveal… read on!). According to Hadamard’s factorization for the “completed” zeta function (which is an entire fu...

If you like solving mathematical problems using Scala, i would suggest that you sign up at Project Euler (Thanks to my good friend Chi Hung for getting me hooked!) and use your favourite programming language or languages to solve it...

This diagram (actually an Euler diagram {wiki}) sorts out professional baseball team names. Even more interesting is the accompanying list of links and explanations for every team name included. Link -via Jason Kottke

Having stumbled upon Project Euler sometime ago and solving the first problem, this disco dancer from the Age of Aquarius thought it was time to tackle problem two, which states: Each new term in the Fibonacci sequence is generate...

I recently stumbled across Project Euler, which is a hip website containing quite a few different math challenges. The idea being that people can attempt to solve any particular challenge which ever way they can (that is, in any la...

When I first talked about complex numbers there was one perspective I put off, and now need to come back to. It makes deep use of Euler’s formula, which ties exponentials and trigonometric functions together in the relation where ...

The Mertens formula is the name given to the asymptotic determination of the behavior of the partial products of the Euler product for ζ(s) at s=1, where the zeta function has a pole: precisely, it is the statement that as x tends ...

“Every sum is a trace” is a well-known folklore saying in certain automorphic circles (echoed by a no less convincing “Every sum is an expectation” around probabilists); in this spirit, let’s have a look at one of the most famous su...

Michel Euler/Associated Press The runway at the fall 2009 Chanel show. Raining this morning. Umbrellas up at the entrance to the Grand Palais. Gift bags of "Dragon" red nail lacquer and lip gloss, but smaller this season. A scuffle ...

It’s of course a coincidence, but it’s nice to learn that the first reference concerning the well-beloved Gamma function is in a paper from 1729. It’s by Euler, of course, and a copy of the original latin paper can be found here, a...

Samuel Arbesman talks how to get something named after yourself. Of course, he names something after himself -- the "Arbesman limit", which is the number of things that one person can have named after themselves. (Gauss, Euler, et...

This blogpost is inspired to a large part by comments made by Rob Ghrist, in connection to his talks on using the Euler characteristic integration theory to count targets detected by sensor networks. He pointed out that the underlyi...

Pending changes to the way large credit insurers like Atradeius Credit Insurance, CoFace USA, and Euler Hermes ACI are doing business in 2009 have lessons to be learned by all businesses that carry accounts receivable, as well as th...

Soaked in bad news, GM and Ford received yet another dousing when their three big European credit insurers dropped them this week. Euler Hermes, Atradius, and Coface have all refused to write policies for suppliers trading with bot...

Exercise your mind with the challenging problem sets at Project Euler. Designed to provide a fun way to introduce new concepts , the frequently asked questions section of Project Euler has this to say about the nature of the projec...