Yesterday I got a review copy of The Power of Networks. There’s some math inside, but not much, and what’s there is elementary.
I’d say it’s not a book about networks per se but a collection of topics associated with networks: cell phone protocols, search engines, auctions, recommendation engines, etc. It would be a good introduction for non-technical people who are curious about how these things work. More technically inclined folks probably already know much of what’s here.