Stochastic Geometry : Selected Topics

Viktor Benes

ISBN 10: 1475779399 / ISBN 13: 9781475779394

Published by Springer, Copernicus, 2013

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9781475779394

Bibliographic Details

• Title: Stochastic Geometry : Selected Topics
• Publisher: Springer, Copernicus
• Publication Date: 2013
• Language: English
• ISBN 10: 1475779399
• ISBN 13: 9781475779394
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 13D millimeters 235 millimeters width by 155 millimeters height by 13 millimeters depth
• Weight: 365 grams

About this title

Synopsis

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.

Review

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)