Tuesday, October 23, 2007

Putnam - 2

Well as promised here is my next Putnam problem post. Luckily I had the dilemma of choosing between two questions. Both questions came from the 1988 exam, A2 and A6. In the end I decided to post problem A6 with a solution and post problem A2 and with proof for another day.

Wednesday, October 17, 2007

Putnam - 1

Well I have been spending between half an hour and one hour every day solving Putnam problems. Actually I should say attempting to solve Putnam problems, but it is the same concept I suppose.

Here is the most recent problem I have been able to solve on my own.

Overall I would say that it took me a little over an hour to come up with this solution. I have looked at other solutions and have yet to find one like mine which kind of makes me feel proud. It should be noted that in the following proof I leave out showing that the sum does in fact converge absolutely, something I would have done if under actually testing conditions.

Well the next time I manage to actually solve a problem that I think is worth posting I shall do so. Hopefully that won't be too far away.