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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Rolf Schneider; Wolfgang Weil |

ISBN: | 9783540788584 3540788581 9783540788591 354078859X 3642097669 9783642097669 |

OCLC Number: | 227033883 |

Description: | xi, 693 pages ; 25 cm. |

Contents: | Foundations of Stochastic Geometry.- Prolog.- Random Closed Sets.- Point Processes.- Geometric Models.- Integral Geometry.- Averaging with Invariant Measures.- Extended Concepts of Integral Geometry.- Integral Geometric Transformations.- Selected Topics from Stochastic Geometry.- Some Geometric Probability Problems.- Mean Values for Random Sets.- Random Mosaics.- Non-stationary Models.- Facts from General Topology.- Invariant Measures.- Facts from Convex Geometry. |

Series Title: | Probability and its applications (Springer-Verlag) |

Responsibility: | Rolf Schneider, Wolfgang Weil. |

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## Reviews

*Editorial reviews*

Publisher Synopsis

From the reviews:"In `Stochastic and Integral Geometry,' R. Schneider and W. Weil give priority to the basic concepts in stochastic geometry ... while keeping from integral geometry only what is relevant for applications in stochastic geometry. ... Each chapter section is concluded by notes in which the main references are cited and numerous possible extensions are discussed. ... Stochastic and Integral Geometry is a profound work by two eminent specialists which is essential reading for those willing to learn deep theory." (Pierre Calka, Mathematical Geosciences, Vol. 45, 2013)"This book ... provides the systematic and exhaustive account of mathematical foundations of stochastic geometry with particular emphasis on tools from convex geometry. ... The thorough and up-to-date presentation in this text makes it an invaluable source for researchers pursuing studies not only in stochastic geometry, but also in convex geometry and various applications ... . an absolutely indispensable part of all mathematical libraries. ... also beneficial for personal collections of all mathematicians who ever deal with probability measures on spaces of geometric objects." (Ilya S. Molchanov, Zentralblatt MATH, Vol. 1175, 2010)"The book presents a number of results that are otherwise scattered among an immense number of research papers and mostly provides full proofs for them. ... The most remarkable aspect of the book is the reader-friendly structure and the style in which it has been written. The book is also worth owning not only for those working in stochastic geometry and immediately related fields of theoretical and applied probability and spatial statistics. ... This book ... will be an essential part of every mathematical library." (V. K. Oganyan, Mathematical Reviews, Issue 2010 g) Read more...

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