The book contains presentations of recent and ongoingresearch on inverse problems and its application toengineering and physical sciences. The articles arestructured around three closely related topics: Inversescattering problems, inverse boundary value problems, andinverse spectral problems. The applications range fromquantum and electromagnetic scattering to medical imaging,geophysical sounding of the Earth, and non-destructivematerial evaluation. The book gives an up-to-datepresentation of the most recent developments in theserapidlychanging and evolving fields of applied research.The contributors of the volume give extra emphysis to thepedagogical aspects of their presentation to make thiscollection eysily accessible to graduate students as well asto people working on nearby fields of research.