Also in the Jazz Masters series, Martin Williams' "Jazz Masters of New Orleans" and Richard Hadlock's "Jazz Masters of the Twenties." For all its virtues, there are some significant problems with Gunther's "The Swing Era." For one thing, he doesn't get Tatum. For another, too often he pretends to an omniscience that he doesn't possess. Yes, no one does when dealing with that much material, but Gunther either doesn't know or won't admit that he doesn't know some things. And don't forget Martin Williams' "The Jazz Tradition," Brian Priestley's "Mingus," John Litweiler's heroic "The Freedom Principle," and "The Otis Ferguson Reader" (if you can find a copy). About Kelley's Monk book, it was conscientious about factual detail, but I seldom if ever had the feeling that Kelley had much sense of what made Monk's music special. A witty and wise autobiography for anyone who is interested in British jazz is Bruce Turner's "Hot Air, Cool Music."
Also excellent on British jazz (with lots of American connections) is: