Until now there has been no single introductory book available for students or newcomers to transformation optics and metasurfaces to systematically study the basic ideas and concepts of this exciting interdisciplinary field. Including practical guidance, this book will allow those new to the subject, in particular for those interested in using inhomogeneous metamaterials for designing optical components, to immediately commence working in this exciting research area. In order to carry out the numerous examples in the book, it comes with full-wave simulation code.