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

Answer: 
Perhaps the closest thing is this article:

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> ["A marvelous proof"](http://www.jstor.org/stable/2975598), by Fernando Gouvêa,  
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> *The American Mathematical Monthly*, 101 (3), March 1994, pp. 203–222. 
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This article got the MAA Lester R. Ford Award in 1995.

This and other papers (with various degrees of difficulty) can be found at [Bluff your way in Fermat's Last Theorem](http://math.stanford.edu/~lekheng/flt/).
Two books which *might* be what you're looking for (haven't read them myself) are [*Invitation to the Mathematics of Fermat-Wiles*](http://books.google.de/books/about/Invitation_to_the_Mathematics_of_Fermat.html?id=W1Nso5E6G3YC&redir_esc=y) by Yves Hellegouarch and the 3rd edition of [*Algebraic Number Theory and Fermat's Last Theorem*](http://books.google.de/books/about/Algebraic_Number_Theory_and_Fermat_s_Las.html?id=PIibasv45boC&redir_esc=y) by Ian Stewart and David Tall.