Trap Operation Theory -- The Paul Trap -- The Penning Trap -- Other Traps -- Trap Techniques -- Loading of Traps -- Trapped Charged Particle Detection -- Nonclassical States of Trapped Ions -- Quantum States of Motion -- Coherent States for Dynamical Groups -- State Engineering and Reconstruction -- Cooling of Trapped Charged Particles -- Trapped Ion Temperature -- Radiative Cooling -- Buffer Gas Cooling -- Resistive Cooling -- Laser Cooling -- Adiabatic Cooling -- Trapped Ions as Nonneutral Plasma -- Plasma Properties -- Plasma Oscillations -- Plasma Crystallization -- Sympathetic Crystallization.This book provides an introduction and guide to modern advances in charged particle (and antiparticle) confinement by electromagnetic fields. Confinement in different trap geometries, the influence of trap imperfections, classical and quantum mechanical description of the trapped particle motion, different methods of ion cooling to low temperatures, and non-neutral plasma properties (including Coulomb crystals) are the main subjects. They form the basis of such applications of charged particle traps as high-resolution optical and microwave spectroscopy, mass spectrometry, atomic clocks, and, potentially, quantum computing.