Euclid is an ESA-led medium class space mission selected in October 2011, with launch planned for 2022. The Euclid mission aims at understanding why the expansion of the Universe is accelerating and what is the nature of the source - commonly called dark energy - responsible for this acceleration. Dark energy represents around 75% of the energy content of the Universe today, and together with dark matter it dominates the Universe's matter-energy content. Understanding dark energy is one of the key goals of physics over the next decade. The imprints of dark energy and gravity will be tracked by Euclid using two complementary cosmological probes to capture signatures of the expansion rate of the Universe and the growth of cosmic structures: w...