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What Is Mathematics, Really? is good a good book for a 17y/o interested in math?

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After reading the description it sounds more like a philosophical book than a real math book.  If that's good for the intended audience depends on the audience.  

If the intended audience is interested in math because it describes the world around them and let's you do things in it then I would say no.  On the other hand if the audience is big into math as some sort of aesthetic or deep philosophical question then they would probably enjoy it.  
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Check out Birth of a theorem.

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