The Murdered Mathematician

One of my interests is mathematicians in fiction - fictitious mathematicians tell us something about how the extra-mathematical world views us (of course there have been great novels by mathematicians too).  There is crime fiction in which mathematicians are murderers or detectives. I particularly like Hector Hawton's Murder by Mathematics (HT John Sharp who told me about it), in which the Head of the Mathematics Department in a London university gets murdered, and it turns out (implausibly, I hope) that everybody in his professional and personal life wanted him dead.

Perhaps the strangest such novel is Harry Stephen Keeler's The Murdered Mathematician.  Keeler (1890 - 1967) was an eccentric novelist many of whose (decidedly unusual) works are, wonderfully, available from Ramble House Press (http://www.ramblehouse.com/) whose service is excellent.  There is an entertaining Wikipedia article.

In The Murdered Mathematician the victim is an eccentric professor, "Radical Luke" (whose radicalness is exemplified by his refusal to use Greek letters in doing mathematics).  The murder is solved by Quiribus Brown, who is 7 foot 6 tall, and has been taught higher mathematics by his father. The book contains an exam paper of Radical Luke's, and Brown uses some fairly sophisticated mathematics to identify the murderer.  It is certainly unlike any other book I have ever read!  I'm now reading the further adventures of Quiribus Brown in The Case of the Flying Hands.

Maths and Tennis (Again)

I wrote about mathematics and tennis at this time of year four years ago: specifically on the decisions about reviews and about the curious fact that, against a stronger opponent, you are more likely to break serve from 30-15 down than from love all.  I had completely forgotten about that post, but was stimulated to return to the topic by a comment on the BBC web coverage of yesterday's semifinal between Raonic and Federer.  Raonic was 40-love up on his service, and according to the report, rather than follow the standard tactic of playing a safe second service that is almost certain to avoid a double fault, Raonic chose to attempt to serve aces on first and second serves, backing himself to be successful in one of his six opportunities.

So is this a good strategy when you are 40-love up on your service?  How much better than your second serve does your first serve have to be to make this tactic optimal?