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
> 
> 
> 

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).
The upcoming book [Summing It Up](https://www.amazon.co.uk/Summing-Up-Modern-Number-Theory/dp/0691170193/) by Robert Gross and Avner Ash seems to be the type of book that you want. I believe the third section of the book will go into the topics relevant to understanding Fermat's Last Theorem, according to the description on the linked page.