I'm looking for some good books including mathematics articles which are appropriate for talented high school students. I'm NOT looking for puzzle or Olympiad problem books. Here are some of my findings, which may serve as examples:
- Strange Curves, Counting Rabbits, & Other Mathematical Explorations.
- How to Guard an Art Gallery and Other Discrete Mathematical Adventures.
- Kvant Selecta: Combinatorics.
- Kvant Selecta: Algebra and Analysis, 1.
- Kvant Selecta: Algebra and Analysis, 2.
Do you have any other suggestion?
Thanks.
There is a rather large list available here.
I would add to it (for really strong students)
This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.