Question: I look for a book/resource which display the general idea of the proof of Fermat last theorem in a simple manner for the public.

I mean, books which is not for mathematicians but for the general public. Books like:

> 
> *Gödel's Theorem: An Incomplete Guide to Its Use and Abuse* by Torkel Franzén
> 
> 
> 

Do anyone now any books of this kind? Also, articles or any resources are good.

Answer: 
[Fearless symmetry](http://press.princeton.edu/titles/8755.html) by Avner Ash and Robert Gross is not specifically about Fermat's theorem, but goes through some theory behind the proof. It's quite involved for being a pop science book and I applaud the authors for even trying to present topics such as quadratic reciprocity, elliptic curve theory and Frobenius groups to a broad audience.
The Epilogue in Ribenboim's book *Fermat's Last Theorem for Amateurs* is about the closest you'll get, I think. Of course, it still requires some mathematical skill just to hang with the "overview" — but, as Prometheus pointed out, you can't talk about FLT without using "real math".

For the record, the whole Ribenboim is a great book.