[...] In the second grade of Gymnasium, we will get to know some of the most brilliant pages of this human epic called the search for knowledge. We will see how humans "conjured" the unknown by giving them names and incorporating them into equations, as well as the way in which they developed technical means to solve them. We will learn how, through perhaps the most well-known theorem in the world, the Pythagorean theorem, they realized that integers and their fractions were not enough to measure nature, and how they were led to irrational numbers. We will also learn about functions and the great contribution of Descartes to science: the "bridge" between arithmetic and geometry through graphical representations.

Finally, we will be guided through the thinking of perhaps the greatest sage of all time, Archimedes, by knowing how he studied the circle and how he measured geometric solids. [...]

(from the book's prologue)