Transformation electromagnetics is a systematic design technique for optical and electromagnetic devices that enables novel wave-material interaction properties. The associated metamaterials technology for designing and realizing optical and electromagnetic devices can control the behavior of light and electromagnetic waves in ways that have not been conventionally possible. The technique is credited with numerous novel device designs, most notably the invisibility cloaks, perfect lenses and other remarkable devices. This book presents a comprehensive treatment of the rapidly growing area of transformation electromagnetics and related metamaterial technology by leading experts from around the world. The following theoretical questions are addressed: Where does transformation electromagnetics come from?, What are the general material properties for different classes of coordinate transformations?, What are the limitations and challenges of device realizations?, and What theoretical tools are available to make the coordinate transformation-based designs more amenable to fabrication using available techniques? Theoretical treatment is complemented by device designs and/or realizations in various frequency regimes and applications including acoustic, radio frequency, terahertz, infrared, and the visible spectrum. Applications include invisibility cloaks, gradient-index lenses in microwave and optical regimes, negative-index superlenses for sub-wavelength resolution focusing, flat lenses that produce highly collimated beams from an embedded antenna or optical source, beam concentrators, polarization rotators and splitters, perfect electromagnetic absorbers, and others. This book serves as a reference for students and researchers for transformation electromagnetics/optics, its application to the design of revolutionary new devices, and associated metamaterial realizations.