The articles in this volume provide a detailed review of all aspects of the main magnetic field of the Earth produced within the Earth’s core: its past history, its long and short term changes, the way it is generated. The book contains the combined knowledge of geomagnetism coming from paleomagnetic and archeomagnetic data, centuries of terrestrial observations and from the past few decades of intensive space observations. There is considerable emphasis on the phenomenology and the physical processes of the evolution of the geomagnetic field on different timescales. The book reports fully on our understanding of the present state of the magnetic field and its expected evolution in the future.