Stochastic Geometry

Jan Rataj

ISBN 10: 1402081022 / ISBN 13: 9781402081026

Verlag: Springer US, Springer US Jul 2004, 2004

Beschreibung

Neuware -Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc. In combination with spatial statistics it is used for the solution of practical problems such as the description of spatial arrangements and the estimation of object characteristics. A related field is stereology, which makes possible inference on the structures, based on lower-dimensional observations. Unfolding problems for particle systems and extremes of particle characteristics are studied. The reader can learn about current developments in stochastic geometry with mathematical rigor on one hand and find applications to real microstructure analysis in natural and material sciences on the other hand.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 244 pp. Englisch.

Bestandsnummer des Verkäufers 9781402081026

Bibliografische Details

• Titel: Stochastic Geometry
• Verlag: Springer US, Springer US Jul 2004
• Veröffentlichungsdatum: 2004
• Sprache: Englisch
• ISBN-10: 1402081022
• ISBN-13: 9781402081026
• Bindung: Buch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc. In combination with spatial statistics it is used for the solution of practical problems such as the description of spatial arrangements and the estimation of object characteristics. A related field is stereology, which makes possible inference on the structures, based on lower-dimensional observations. Unfolding problems for particle systems and extremes of particle characteristics are studied. The reader can learn about current developments in stochastic geometry with mathematical rigor on one hand and find applications to real microstructure analysis in natural and material sciences on the other hand.

Críticas

From the reviews:

"To write a text on stochastic geometry and its applications requires that an author successfully address a number of issues involving material and audience. ... Viktor Beneš and Jan Rataj have produced an interesting text which successfully addresses the challenges involved in writing such a book. ... The text will be a valuable addition to the library of those who have an interest in applications ... . the authors provide interesting examples. Each chapter of the text contains a number of exercises ... ." (Patrick T. McDonald, Mathematical Reviews, 2005g)