The resolution of mathematical problems

My research project is a compilation of certain maths problems. Some of them where picked from the IMO (International MAthematical Olympiad) or others from other places like the Lowel Putnam or the Bachillerat Olympiad. 

In orther to solve them, the study of theorems and new formulaes  were required. The first part of the project is a compilation or glossary that gathers all the formulaes and theorems used.

The second part shows all the problems solved step by step. Each one has a reference to the formulaes used to the formulaes used to understand which one was used in each problem.