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Book synopsis

This unique book develops the classical subjects of geometric probability and integral geometry, and the more modern one of stochastic geometry, in rather a novel way to provide a unifying framework in which they can be studied. The author focuses on factorisation properties of measures and probabilities implied by the assumption of their invariance with respect to a group, in order to investigate non-trivial factors. The study of these properties is the central theme of the book. Basic facts about integral geometry and random point process theory are developed in a simple geometric way, so that the whole approach is suitable for a non-specialist audience. Even in the later chapters, where the factorisation principles are applied to geometrical processes, the prerequisites are only standard courses on probability and analysis. The main ideas presented here have application to such areas as stereology and tomography, geometrical statistics, pattern and texture analysis. This book will be well suited as a starting point for individuals working in those areas to learn about the mathematical framework. It will also prove valuable as an introduction to geometric probability theory and integral geometry based on modern ideas.

Book details

Book category Books in English Mathematics & science Mathematics Probability & statistics

• Full title: Factorization Calculus and Geometric Probability
• Author: R. V. Ambartzumian
• Language: English
• Binding: Paperback
• Number of pages: 300
• EAN: 9780521089784
• ISBN: 0521089786
• ID: 02020924
• Publisher: Cambridge University Press
• Weight: 420 g
• Dimensions: 234 × 156 × 16 mm
• Date of publishing: 06. November 2008

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