Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics. They are widely known and have been used in me- chanics, physics and other exact sciences for many, many decades. But more than this, asymptotic ideas are found in all branches of human knowledge, indeed in all areas of life. In this broader context they have not and perhaps cannot be fully formalized. However, they are mar- velous, they leave room for fantasy, guesses...