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:

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> *Gödel's Theorem: An Incomplete Guide to Its Use and Abuse* by Torkel Franzén
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> 
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Do anyone now any books of this kind? Also, articles or any resources are good.

Answer: 
Simon Singh's book, creatively titled "Fermat's Last Theorem" ("Fermat's Enigma" in the US), was a very fun read for a 15 year-old me many years ago :) It gives a lot of the history, as well as a rough outline of the proof (at the "using-lines-of-dominoes-to-explain-proof-by-induction" level).
[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.