"Perhaps the best way to describe my engagement with Mathematics is to compare it to the experience of entering a dark mansion. You enter the first dark, completely dark room. You stumble around and bump into the furniture. Gradually, you learn where each piece of furniture is. And finally, after about six months, you find the switch and turn on the light. Suddenly, everything is illuminated and you can see where you were. Then, you enter the next dark room...".

This is how Professor Andrew Wiles described his seven-year quest to solve Fermat's Last Theorem, the "Holy Grail" of Mathematics.

With this book, we aim to safely guide the student through the "dark rooms" of Mathematics and help them to be able to approach all the problems they may encounter during the school year, as well as in the Panhellenic Exams, and to tackle them successfully.