Factorization Calculus and Geometric Probability

Name: Factorization Calculus and Geometric Probability
Brand: Cambridge University Press
SKU: 9780521345354
Price: 823.48 RON
Availability: InStock

Autor: R. V. Ambartzumian

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Legare: Copertă tare

Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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823.48 lei

This unique book develops the classical subjects of geometric probability and integral geometry, and...

Informații despre carte

Autor

R. V. Ambartzumian

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1990

Pagini

300

EAN

9780521345354

ISBN

0521345359

Enbook ID

02028075

Editura

Cambridge University Press

Greutate

612

Dimensiuni

241 x 166 x 23

Descriere completă

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.

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