Recent content by rummgamon

Well, being a high school teacher puts them in a position to personally nurture the interest and abilities of high school students. While someone in another job- say a research physicist might write books or publish articles that spark that interest, ultimately, one still requires an able...

because they like teaching and inspiring high school students?

there's also DA||BC

Your description of "basic knowledge of number theory" is a little bit vague. It would be easier to recommend books/sites if we know more about your background. This probably isn't what you're after but here's a link to some "cute" stuff in Number Theory http://www.mathpages.com/home/inumber.htm

First off, congratulations! As for your question, that would depend on what you hope to achieve? Do you want to be able to solve competition problems or understand deep mathematical results? Bear in mind that high school maths, competition math and university maths demand different things of an...

Think about what a "root" of a polynomial means and from there use the roots that you are given to deduce what you need.

Try thinking of a set that's "everywhere" on the real line and compute the interiors of any such set you can think of. There is a more formal definition for this "everywhere"-ness that I'm alluding to. However, using that term directly would be handing you the answer. e.g. [0,1] is certainly not...