The book presents a comprehensive yet concise introduction to the physics of two-dimensional electron systems in the quantum Hall regime, as well as an up-to-date overview of the current fields of research concerning the integer and fractional quantum Hall effect. The physics of two-dimensional electron systems at low temperatures and high magnetic fields are governed by the formation of discrete energy levels referred to as Landau levels. These narrow energy bands not only form the basis of the well-known quantum Hall effect but also promote strong interactions between the electrons, giving rise to some of the finest manifestations of many-body physics in solid state science. Examples include skyrmionic spin textures, ferromagnetic spin transitions, stripe and bubble phases, as well as fractional quantum Hall states with potential non-abelian exchange statistics.

Introduction.- The Two-Dimensional Electron System.- Electron-Nuclear Spin Interaction in the Quantum Hall Regime.- Spin Polarization of the 5/2 State.- Probing the Microscopic Structure of the Stripe Phase at v = 5/2.- Surface Acoustic Wave Study of Density Modulated Phases.- Summary.- Appendix A Sample Parameters.- Appendix B: Low-Temperature Sample Holder.