This book is indeed not much more than a very elegant re-exposition of Boolean algebra and the propositional calculus.
Furthermore, the essence of Brown's mathematical innovations were discovered by C S Peirce as early as 1885 (but published only after LoF was published). Nevertheless, LoF is no mean feat.
It radically simplifies sentential logic, switching circuit calculations, syllogisms. I use this book to solve logic problems arising in the computer programs I write.
Outside of electrical engineering, only a few mathematicians and logicians work with logic and Boolean algebra, which should be as commonly known as calculus and linear algebra.
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