Items related to Selected Topics in Integral Geometry (220) (Translations...
Synopsis
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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Selected Topics in Integral Geometry (Translations of Mathematical Monographs)
Published by
Amer Mathematical Society, 2003
ISBN 10: 0821829327
ISBN 13: 9780821829325
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Condition: New. Presents 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 $SL(2,\mathbb C)$ and integral geometry on quadrics. Series: Translations of Mathematical Monographs. Num Pages: 170 pages, illustrations. BIC Classification: PBM. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 260 x 171 x 13. Weight in Grams: 533. . 2003. Hardcover. . . . . Seller Inventory # V9780821829325
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Selected Topics in Integral Geometry (Translations of Mathematical Monographs)
Published by
American Mathematical Society, 2003
ISBN 10: 0821829327
ISBN 13: 9780821829325
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hardcover. Condition: Sehr gut. 170 Seiten; 9780821829325.2 Gewicht in Gramm: 1. Seller Inventory # 1340726
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Selected Topics in Integral Geometry
Published by
American Mathematical Society, US, 2003
ISBN 10: 0821829327
ISBN 13: 9780821829325
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Seller: Rarewaves.com USA, London, LONDO, United Kingdom
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Hardback. Condition: New. 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. Seller Inventory # LU-9780821829325
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Selected Topics in Integral Geometry: Vol 220
Published by
Amer Mathematical Society, 2003
ISBN 10: 0821829327
ISBN 13: 9780821829325
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Hardcover. Condition: Brand New. illustrated edition. 170 pages. 10.25x6.75x0.50 inches. In Stock. Seller Inventory # __0821829327
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Selected Topics in Integral Geometry (Translations of Mathematical Monographs)
Published by
Amer Mathematical Society, 2003
ISBN 10: 0821829327
ISBN 13: 9780821829325
New
Hardcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Presents 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 $SL(2,\mathbb C)$ and integral geometry on quadrics. Series: Translations of Mathematical Monographs. Num Pages: 170 pages, illustrations. BIC Classification: PBM. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 260 x 171 x 13. Weight in Grams: 533. . 2003. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821829325
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Selected Topics in Integral Geometry
Published by
American Mathematical Society, US, 2003
ISBN 10: 0821829327
ISBN 13: 9780821829325
New
Hardcover
Seller: Rarewaves.com UK, London, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. 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. Seller Inventory # LU-9780821829325
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Selected Topics in Integral Geometry (Translations of Mathematical Monographs)
Published by
Amer Mathematical Society, 2003
ISBN 10: 0821829327
ISBN 13: 9780821829325
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