I have been getting into the puzzles section at the tail end of The Guardian newspaper which I get each week. Last week it asked you to prove that there are infinitely many different pairs of numbers (a,b) for which a+b=ab.
This is easy to prove but I admit I had to work at it […]
Someone asked me the other day where the word “google” came from and I responded that I thought it was a corrupted version of the word “googol” which Stephen Krasner in his book “Mathematics and the Imagination” attributed to his (then) 9-year old nephew. A googol is 10 raised to the 100th power. Krasner’s nephew […]
From time-to-time I use the Mathematica software mainly for much lower level types of applications than it is designed for. This is quite expensive software – around $1400 – and involves a substantive learning effort to use. It is a grand hassle to install and upgrade as I have grizzled about in the past and […]
Can an omnipotent being create a rock so heavy that he cannot lift it? I got through the elementary parts of this post by Terry Tao but some of the applications were hard. ‘Strategy stealing arguments’ in game theory are a subset of this class of results. Note the amazing subsequent discussion.
Professor Terry Tao (born 1975) is an Australian mathematician now working in the US. Tao was a child prodigy who taught himself arithmetic at age 2. He received his PhD at age 20, was appointed a full professor at UCLA at age 24 and won the Field’s Medal in mathematics at age 31. This award […]
I have always enjoyed maths and used to try to solve elementary maths problems as a school kid. I can remember with joy finally solving a simple-to-state problem after hours of thinking about it. Often the solution popped out of my head almost involuntarily after I had spent a lot of time thinking about it* […]