The aim of this book is to give a unified presentation of the local stereological methods developed within the last ten years. "Local Stereology" is a collection of local integral geometric formulae which can be used in the non-parametric estimation of local spatial characteristics. The main applications are in particle analysis and in the study of the spatial arrangement of structures. Only very weak assumptions are needed for the structures under study. For instance, specific particle shape assumptions are not necessary.

The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor valuations.