Friday, January 15, 2010

Reading List

I received a few new books over the Christmas holidays. They total somewhere in the neighbourhood of 3,500 pages, so I should be finished reading them all roughly around the end of time. Here they are briefly, and hopefully I'll post some comments as I finish each of them. Don't hold your breath, though.

The Princeton Companion to Mathematics
This is a wonderful thousand-page book that would seem to have an incredibly narrow appeal. It's essentially a survey of current thinking across all mathematical disciplines, written to be as accessible as possible. The original goal for the book was that it could be handled by anyone with high school-level math, but the authors weren't able to meet this for all sections. I find this incredibly interesting, and pretty much everyone else I know would not find it interesting at all :).

Under the Dome, Stephen King
I'm a reasonably big fan of King, although I haven't read some of his more recent stuff. This one has been getting reviews in the range of good to great, and drawing comparisons to The Stand, which is a favourite of mine.

The Book of Basketball, Bill Simmons
Bill Simmons writes for ESPN; he's also known as The Sports Guy. This book is essentially just all of his opinions about basketball, including a few hundred pages ranking the best players of all time.

The Dark Tower: The Gunslinger Born
Stephen King wrote a seven-novel series called The Dark Tower over a period of about 30 years. Recently, Marvel has been publishing comics in the Dark Tower universe. This book is a collection of the first few issues.

A Mathematical Nature Walk, John Adam
I hadn't heard of this one prior to receiving it for Christmas, but it looks to be the kind of thing I like.

Thursday, January 7, 2010

Close But No Cigar

A friend of mine, who cheers for the Pittsburgh Steelers, has been talking about how close their losses have been this year. The Steelers finished 9-7, but the 7 losses were by a total of only 28 points, so a couple plays one way or the other could have produced a very different result. I'm quite familiar with this line of thinking, since my team is the Chargers, and last year they lost 8 games by a total of only 34 points (including a 1-point loss on a terrible blown call in a game I drove 1000 miles to see. But I digress.) I have my trusty database, so I thought I'd take a look at how these two seasons stack up historically. The following items all consider the years from 1978 through 2008.
  • Among all teams that finished at 9-7, the 2009 Steelers' total margin of defeat (28) was the lowest. The next closest were the 1993 Broncos (30) and the 2002 Saints (35).
  • The 2009 Steelers' average margin of defeat (4.0) is the lowest among all teams that lost 7 or more games.
  • Among all teams that finished at 8-8, the 2008 Chargers' total margin of defeat (34) is tied for the lowest with the 1999 Raiders.
  • The 2008 Chargers' average margin of defeat (4.25) is the lowest among all teams that lost 8 or more games. The 2009 Steelers are the only team with 7 losses to have a lower average margin of defeat.
It looks like these two seasons were in fact quite unusual. Here are a few other interesting facts I came across while tabulating these results.
  • The 16-0 2007 Patriots are a bit of a special case, but you might say that they hold the record for smallest average margin of defeat, at zero.
  • The 1983 Redskins finished 14-2, and their two losses were by one point each.
  • The next best average margin of defeat (2.33) was by the 2000 Titans, who finished 13-3 and whose losses were by a total of 7 points.
  • The team with the worst average margin of defeat (24.7) was the 1989 Steelers. They actually made the playoffs at 9-7 (unlike this year's Steelers), but had several huge losses, including a 51-0 game against Cleveland. In the playoffs, the Steelers won their first game, and then lost to the Broncos... by 1.