motivating a kid into analysis

Hello

I'd like some hints from the experienced mathematicians on how I can
motivate my 14-year-old son into Analysis. I'm an engineer and like
Math, especially Analysis, and whenever I can I try to study in on my
own. My boy loves math, but he's into number theory. He loves those
problems like proving an integer number is prime, for example. He likes
to deal with things like congruences, Fermat's Little Theorem and
groups (according to his age, of course).
I tried to introduce him to Analysis, but I noticed he had some
difficulty to understand the epsilon-delta definitions of limit and
continuity. He also showed some difficulty with the concepts of infimum
and supremum.

I'm not sure, but I think people who specializes in Number Theory are
not into Analysis that much and vice versa. I've noticed that
mathematicians that post about Analysis usually don't post about number
theory, and the converse seems to be true.

Amanda

.

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