This textbook will prepare researchers and educators for this fast-growing soft matter field. Starting from physical underpinnings and the background foundations of both liquid crystals and colloids, this book will provide a comprehensive introduction to this fundamentally and technologically important soft condensed matter system. When introducing some of the new developments in the field, such as the role that topology and geometry play in pre-determining self-assembly of particles in liquid crystals, the background introduction to relevant mathematical theorems from geometry and topology will be provided as well, as well as, similarly organic and inorganic chemistry information