3
$\begingroup$

I am looking for some self-contained (i.e., providing all necessary background information) rigorous introductions to topics perceived as "cool" to propose to (really) advanced high school students specializing in math. For example, I am thinking about Invitation to Dynamical Systems by Scheinerman. Do you have any other ideas?

$\endgroup$
  • 2
    $\begingroup$ If they are really advanced, why do you have to make it "cool"? I would have thought the really advanced people didn't need the "maths can be cool" stuff. $\endgroup$ – Suzu Hirose Dec 26 '14 at 0:00
  • 1
    $\begingroup$ @SuzuHirose I'm not the one making the requirements for the topics in this particular occasion. Besides, everyone needs to be reminded that math is cool sometimes ;). $\endgroup$ – Dal Dec 26 '14 at 0:27
  • $\begingroup$ @SuzuHirose Also, I mean advanced compared to regular high-schooler. So, you might as well consider 1st or 2nd year of university level. $\endgroup$ – Dal Dec 26 '14 at 0:41
0
$\begingroup$

An Introduction to Mathematical Cryptography (Hoffstein, Pipher, Silverman) could fit the bill.

$\endgroup$
0
$\begingroup$

The Knot Book, by Colin C Adams is a good one.

$\endgroup$
0
$\begingroup$

Sets for Mathematics by Lawvere and Rosebrugh is a serious introduction to category theory, intended for high school students.

$\endgroup$
0
$\begingroup$

An Introduction to Abstract Algebra (Pinter) is rigorous but should be accessible to bright high school students who can handle proofs.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.