Integral Geometry and Geometric Probability
Integral Geometry and Geometric Probability by Luis A. Santaló is a comprehensive exploration of the theory and applications of integral geometry, published by Cambridge University Press on October 28, 2004. This 404-page edition is presented in English and delves into the origins of integral geometry, which began with geometrical probability and convex bodies, and highlights its relevance across various fields, including pure mathematics and technical disciplines.
Readers will find a systematic exposition of the main results in integral geometry, making it suitable for those looking to complement their studies in differential geometry, Lie groups, or probability. The book serves as both a reference and an introduction for individuals interested in the mathematical analysis of geometry and probability, providing insights into its applications in areas such as pattern recognition and stereology.
Official synopsis Publisher
Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used to complement courses on differential geometry, Lie groups, or probability or differential geometry. It is ideal both as a reference and for those wishing to enter the field.
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