The first 140 or so pages of Blackett's War is devoted to a brief outline of British science and politics in the law 19th and early 20thC, and brief biographies of some of the important players, like James Rutherford, Karl Doenitz, and of course Blackett. The last third is devoted to the war years and does mention things like operations research, the various German radio direction finding systems and how they were defeated, the Leigh Light, and so forth, but none of it much detail. (Somewhat surprisingly, there's no mention at all of the "Hedgehog" spigot mortar- not only the most successful antisubmarine weapon of the Second World War, but of the next several decades as well.)
The focus is primarily on the people, personalities, and organizational debates and infighting that interfered with the deployment of these systems. There's a lot of interesting information to be found on that topic, some of it new, much of it covered in earlier books. Those looking for detailed understanding of how science and scientists worked with the military to defeat Doenitz' U-Boat fleet may want to look elsewhere, however.
There are a tremendous number of books available covering the role of technology in World War II, and the submarine war in particular, going back to James R Newman's 1956 The World of Mathematics, which contains chapters on operations research and submarine hunting. R. V. Jones' 1978 Wizard War is an excellent history of the role of technology in air defense and submarine warfare in depth as well as the roles of many of those mentioned in Blackett's War, and has the advantage of being written by someone who was actually part of the research. Between those two books there is a tremendous amount of information on the actual science and technology of the antisubmarine war.
I looked forward to reading Blackett's War based on the reviews and publisher's description, but I was somewhat disappointed, as I was looking for a moreup to date description of the actual science and technology than can be found in R. V. Jone's earlier book . Those looking for more of social history of the scientists who contributed to the antisubmarine effort should find this book to their liking.