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Good books to choose good problemss

                                                                                       There are many good math book originally published in Russia.

Perhaps the best topic of high school math research is combinatorial game theory. It seems that our group is the first to do research on combinatorial game as a group of high school students, but there are going to appear some high school group of students in the U.S. are beginning to do research on combinatorial game under the guidance of some mathemticians.  

                                                                           

 

If you really want to discover new things, it is better not to choose very famous problmes such as Rieman conjecture, 3m+1 problem, etc. It is also not good to study very popolar theme such as Fibonacci sequences. These famous problems and these popular themes have been studied by many mathematicians, and it is very difficult to discover new things.