yet another crime novel

The Big Over Easy by Jaspar Fforde.

It's hilarious.

Detective Inspector Jack Spratt of the Nursery Crime Division is the central character. He's just lost a big case when the three little pigs were acquitted of the murder of the wolf. Management wants to close his department to save money. He needs a big case to get management off his back.
Enter Humperdink (aka Humpty) Jehosaphat Alyosious Styvesant van Dumpty. He's been found dead, smashed to pieces at the base of his favourite wall. First assumptions are that it's suicide - apparently he always got very depressed at Easter. But it turns out he's been shot.

The investigation continues......

Silly names, lots of puns, crazy twists on a whole array of nursery rhymes, etc.
Very funny.