I own at least 8 books on stand-up comedy, and I only bought this one because I just arrived in London and considered doing Logan Murray's course.
Well, after only reading some random parts of the book I knew that this is by far the best and most helpful book on stand-up comedy I have ever read. It covers lots of areas other established books don't even touch; there is golden advice on every page, and unlike with many of the other books you know after reading only a few lines that here is somebody who has actually done stand-up successfully instead of just writing about it.
For anybody who thinks about trying their hand at stand-up: buy this book!
Having said that, I don't want to slag all off the other books, but too many of them tell you too many things you already know or that are simply about 20 years out of date. If you would like to complement this book with others, I'd recommend Jay Sankey's "Zen and the art of stand-up comedy" for a very interesting look at the performance side of stand-up, and Greg Dean's "Step by Step to Stand-up Comedy" mainly for its interesting and helpful approach to the dreadfully tricky topic of rehearsing for stand-up comedy. And since Greg Dean covers the important (though in some ways dated) set-up/punchline stuff (that everybody who's ever told a joke probably knows, to be honest) you probably don't need any of the others, either.
But for me, Logan Murray's book is absolute top dog among these three and I will definitely do his course even though I've been on stage before.
Ah yeah, none of the books will of course save you from actually going on stage over and over and over again and dying on your arse every now and then.