Sorry, but I think I can safely say that there is no one tutorial that makes you an expert just like that. Unless you're really smart, it takes a fair amount of work to be able to think in the language you're programming in (and C++ is one of the harder ones, albeit more rewarding).
EDIT: The included tutorial covers most of not all of the major concepts of C++. I do recommend it.
I really suggest you start small, finish the tutorial in this site before you tackle big books. From my experience, big books(expert mode) usually assume you already know C++. And books that start from scratch usually taking too many pages to explain things. (like the reader is a complete moron)
After all the huge amount of reading, the hardest part is to implement what you've learn, solve problems and gain experience (takes time)
I'm a witness of the well written tutorial here. I first studied C++ on my own mid December of 2009 then move to other books. (of course do some coding)
Through the whole year (on and off) with C++, I don't feel to be an expert but I do feel I'm a lot better today. All those frustrating months, lazy days, overwhelming learning, etc.. I feel more humble, happy and satisfied to what I achieved.
Well I hope my experience would inspire you or at least have a clue on what's ahead the road.