It takes the average reader 2 hours and 19 minutes to read Selected Topics in Integral Geometry by Izrailʹ Moiseevich Gelʹfand
Assuming a reading speed of 250 words per minute. Learn more
The miracle of integral geometry is that it is often possible to recover a function on a manifold just from the knowledge of its integrals over certain submanifolds. The founding example is the Radon transform, introduced at the beginning of the 20th century. Since then, many other transforms were found, and the general theory was developed. Moreover, many important practical applications were discovered. The best known, but by no means the only one, being to medical tomography. This book is a general introduction to integral geometry, the first from this point of view for almost four decades. The authors, all leading experts in the field, represent one of the most influential schools in integral geometry. The book presents in detail basic examples of integral geometry problems, such as the Radon transform on the plane and in space, the John transform, the Minkowski-Funk transform, integral geometry on the hyperbolic plane and in the hyperbolic space, the horospherical transform and its relation to representations of $SL(2,\mathbb C)$, integral geometry on quadrics, etc. The study of these examples allows the authors to explain important general topics of integral geometry, such as the Cavalieri conditions, local and nonlocal inversion formulas, and overdetermined problems in integral geometry. Many of the results in the book were obtained by the authors in the course of their career-long work in integral geometry. This book is suitable for graduate students and researchers working in integral geometry and its applications.
Selected Topics in Integral Geometry by Izrailʹ Moiseevich Gelʹfand is 136 pages long, and a total of 34,816 words.
This makes it 46% the length of the average book. It also has 43% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 10 minutes to read Selected Topics in Integral Geometry aloud.
Selected Topics in Integral Geometry is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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