Summary: a description of the role of math in science, including waves, flight, and ballistics. Very much emphasizes the math - the book is full of formulae, partial derivatives, and the like.
Comments: First off, this book reads like a textbook. Some parts of it are very dense and it has a habit of leaving out steps in the process of transforming one equation into another. Specifically, it would be a college-level textbook, because a number of the concepts are things I didn't learn until upper level college math (and they're also things I may have forgotten - be prepared to go searching through textbooks or wikipedia in order to figure out what they're talking about or else resign yourself to not quite understanding things).
Another thing that detracted from my reading of certain parts of the book (meteorology, and maybe ballistics) is that fact that version I'm reading is the 2nd edition, from 1966, back when "computer" meant a person who computes. It would be interesting to know how much has changed since then, especially in meteorology.
In spite of all my complaints, I did somewhat enjoy parts of the book. The section on statistics was particularly enlightening. I wouldn't recommend it to most people, but if someone made it through the summary and thought it sounded intriguing, I probably would tentatively recommend it to them (tentative because parts of it are almost certainly out of date - if you're interested in meteorology, this book is probably not very helpful). I think knowing what I was getting myself into probably would have helped with my opinion of the book, though maybe not the textbook complaint.