This review discusses the physical properties of nematic, cholesteric, and smectic liquid crystals. Molecular theories of the liquid crystal phases are discussed and the molecular field theories of the phase transitions between the various liquid crystal phases are presented. The elastic theory
and hydrodynamics of liquid crystals is developed. A wide variety of phenomena in liquid crystals,
including elastic distortions, disclinations, flow properties, fluctuations, light scattering, wave
propagation, nuclear magnetic resonance, effects of magnetic and electric fields, electrohydrodynamics, and optical properties, is discussed.