Category Archives: infinity

Carnival of Mathematics #23: Haiku Edition

Posted on December 28, 2007 by

Welcome to the 23rd Carnival of Mathematics: Haiku Edition! First, I must apologize for the delay: I usually have very little trouble with my hosting provider, but of course it went down just when the CoM was supposed to be … Continue reading →

Posted in algebra, books, calculus, challenges, counting, fractals, geometry, infinity, links, meta, number theory, pascal's triangle, pattern, people, sequences, trig, video | 17 Comments

Recounting the Rationals, part I

Posted on December 27, 2007 by

This is the first in a series of posts I’m planning to write on the paper “Recounting the Rationals“, by Neil Calkin and Herbert Wilf, mathematicians at Clemson University and the University of Pennsylvania, respectively. I’m really excited about it, … Continue reading →

Posted in counting, infinity, number theory, pattern, sequences | 19 Comments

Open problems: Twin prime conjecture

Posted on April 10, 2007 by

Oops, so much for posting once a week! My excuse is that I’ve been hard at work on my book. Well, nothing to do but get right back at it. I promise* I will be better** about posting regularly*** from … Continue reading →

Posted in challenges, famous numbers, infinity, primes | 3 Comments

New bookshelf entry: The Book of Numbers

Posted on September 20, 2006 by

After seeing John H. Conway and Richard Guy‘s The Book of Numbers cited in yet another interesting article/book/whatever, I finally decided that I clearly had to read it. (It seems to get cited a lot in certain circles.) I wasn’t … Continue reading →

Posted in books, famous numbers, geometry, golden ratio, infinity, links, primes | 3 Comments

The Mandelbrot Set

Posted on May 8, 2006 by

For those of you already familiar with the Mandelbrot Set, I suppose this will be like visiting with an old friend. For those of you who aren’t — you’re in for a treat! Okay, you say, that looks pretty cool … Continue reading →

Posted in convergence, fractals, infinity, iteration | 1 Comment

Convergence

Posted on March 20, 2006 by

Let’s dig a little deeper behind the solutions to Challenges #1 and #2. What on earth does it mean for an infinite expression to have a “value”? Well, as noted in the solution to Challenge #1, what we’re really talking … Continue reading →

Posted in convergence, infinity | 3 Comments

Challenge #2 Solution

Posted on March 19, 2006 by

And here are the solutions to Challenge #2…

Posted in infinity, solutions | 4 Comments