These notes are intended to describe the basic concepts of solving inverse problems in a stable way. Since almost all in verse problems are ill-posed in its original formulation the discussion of methods to overcome difficulties which result from this fact is the main subject of this book. Over the past fifteen years, the number of publications on inverse problems has grown rapidly. Therefore, these notes can be neither a comprehensive introduction nor a complete mono graph on the topics considered; it is designed to provide the main ideas and methods. Throughout, we have not striven for the...

The body of mathematics developed in the last forty years or so which can be put under the heading Singularity Theory is quite large. And the excellent introductions to this vast sub ject which are already available (for instance AGVJ, BGJ, GiJ, GGJ, LmJ, Mr], WsJ or the more advanced Ln]) cover necessarily only apart of even the most basic topics. The aim of the present book is to introduce the reader to a few important topics from ZoaaZ Singularity Theory. Some of these topics have already been treated in other introductory books (e.g. right and contact finite determinacy of...