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Recommended books to read if wanting to apply to Mathematics BSc

Hi,

I am looking to apply to do Mathematics at uni, but need to read some good books to discuss in my personal statement! Does anyone know of any good ones that are interesting?
Here is Cambridge's recommended reading list for Maths applicants - if they like these books then I'm sure other unis do too! http://www.maths.cam.ac.uk/undergrad/admissions/readinglist.pdf

(As to interesting, my brother owns Calculus for the Ambitious and loves it from this list, abd I've heard good things about Fermat's Last Theorem)

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