Gift recommendations for extremely motivated 5th grader.

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My niece is 10 years old and taking algebra 1 this year in school. She's very gifted and driven to pursue math. I want to give her a book that is going to introduce her to higher math concepts like sets and basic proofs, but I don't know what kind of book would be appropriate for her. She doesn't have much of a problem digesting Tolkien, so I doubt there will be a language barrier to higher level maths. Any ideas?

~Photon
 

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jtbell
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When I was about that age, long ago, I got a lot of pleasure out of this four-volume survey of mathematics:

https://www.amazon.com/dp/0486432688/?tag=pfamazon01-20

It's not a textbook, but a collection of essays and excerpts of larger works, on many mathematical topics. See the table of contents. It's more of an inspirational choice rather than a didactic choice, but you might want to consider it anyway.
 
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