Integral geometry originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved to be useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). This book is a systematic exposition of the theory and a compilation of the main results in the field. The volume can be used for a one-semester undergraduate course in probability and differential geometry or as a complement to classical courses on differential geometry, Lie groups, or probability.
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The standard reference in the field, now available in the Cambridge Mathematical Library. Developments in integral geometry have proved to be useful in several fields ranging from pure mathematics to technical and applied disciplines. This book is a systematic exposition of the theory and a compilation of the main results in the field. It 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.
' ... the author handled his material with great dexterity and ease. The book should serve as an excellent text for a graduate course on integral ' Bulletin of the American Mathematical Society
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