Ion trapping was first accomplished in Europe more than 50 years ago. Since then, research and development have increased steadily, and the last decades have seen a remarkable growth in applications, mainly due to the improvement of laser-based techniques for spectroscopy, cooling and the manipulation of ions. Nowadays ion trapping plays a crucial role in a wide range of disciplines, including atomic and plasma physics, chemistry, high precision measurement, high energy physics and the emerging field of quantum technologies. This book presents lectures and reports from the Enrico Fermi School Ion Traps for Tomorrows