Stoyan, Dietrich; Stoyan, Helga Fractals - forms - point fields. Methods of geometry-statistics. (Fraktale - Formen - Punktfelder. Methoden der Geometrie-Statistik.) (German) Zbl 0763.60005 Berlin: Akademie-Verlag. 394 S. (1992). The book is designed mainly for non-mathematicians, in particular for biologists and geologists. This strongly affects the style of the book: the authors explain the intuitions behind all the introduced notions and avoid more complicated reasoning. They give a rich list of references concerning basic knowledge and most recent results, as well as applications in biology, geology, environment, and so on.The book is divided into three parts. Part I: Fractals and methods of calculating Hausdorff dimension. The authors introduce the Hausdorff measure and dimension and discuss related notions, as local Hausdorff dimension, fractal dimensions. They consider deterministic and random fractals and present methods of calculating fractal dimensions. Part II: The shape statistics. It consists of five chapters: 1. Preliminaries, 2. Describing contours, 3. Set-theoretical approach to shape, 4. Describing points, 5. Examples. (The title of Chapter 3 is misleading, because that chapter concerns also topological notions (e.g. compactness) and metric notions (e.g. convexity, volume)). Part III: Statistics of point fields. The lists of references do not contain the book by I. Saxl, Stereology of objects with internal structure (Academia Prague, 1989 (co- published with Elsevier Science Publishers)), which I would strongly recommend. Reviewer: M.Moszyńska (Warszawa) Cited in 3 Documents MSC: 60D05 Geometric probability and stochastic geometry 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 60-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory 28A78 Hausdorff and packing measures 28A80 Fractals Keywords:stochastic geometry; applications in biology; geology; environment; Hausdorff dimension; Hausdorff measure PDFBibTeX XMLCite \textit{D. Stoyan} and \textit{H. Stoyan}, Fraktale - Formen - Punktfelder. Methoden der Geometrie-Statistik. Berlin: Akademie-Verlag (1992; Zbl 0763.60005)