The authors explain the main ideas of integral geometry through the context of simple examples, believing them to be more useful than general results. Examples include the classical Radon transform, one of its generalizations, hyperbolic versions, and a horospherical transform. The English translation adds a chapter devoted to integral geometry on quadrics (or a conformally invariant version of the Radon transform). Translated from the Russian work Izbrannye zadachi integral'noi geometrii (2000). Annotation (c) Book News, Inc., Portland, OR (booknews.com)
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