A lot of books listed here can be used to scare anyone away from maths. Too dry for starters.
I would say you must start with Rozsa Peter's Playing with Infinity http://a.co/6MMCE5g to quote an Amazon review
> This book is a gem. I read it as a highschool student, and it
played an important role in enticing me to become a
mathematician. Its emphasis is not on practical applications
or on solving funny problems: instead, it is an inspiring
introduction to some of the great
intellectual challenges in the history of mathematics.
I would say you must start with Rozsa Peter's Playing with Infinity http://a.co/6MMCE5g to quote an Amazon review
> This book is a gem. I read it as a highschool student, and it played an important role in enticing me to become a mathematician. Its emphasis is not on practical applications or on solving funny problems: instead, it is an inspiring introduction to some of the great intellectual challenges in the history of mathematics.
Another in a similar vein https://en.wikipedia.org/wiki/One_Two_Three..._Infinity
You can go and study the textbooks after.