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lgli/G:\!upload\are\books\Selected Topics in Integral Geometry (Translations of Mathematical Monographs) (I. M. Gelfand, et al) 0821829327.djvu
Selected Topics in Integral Geometry: 220 Izrailʹ Moiseevich Gelʹfand; Semen Grigorʹevich Gindikin; Mark Iosifovich Graev Oxford University Press, Translations of Mathematical Monographs, illustrated edition, 2003
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.
Read more…
English [en] · DJVU · 10.0MB · 2003 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save
base score: 11055.0, final score: 167479.92
lgli/M_Mathematics/MD_Geometry and topology/Gelfand I.M., Gindikin S.G., Graev M.I. Selected topics in integral geometry (TMM220, AMS, 2003)(ISBN 0821829327)(T)(S)(184s)_MD_.djvu
Selected Topics in Integral Geometry (Translations of Mathematical Monographs) Gelfand, I. M., Gindikin, S. G., Graev, M. I. American Mathematical Society, Translations of mathematical monographs, v. 220, Providence, R.I, ©2003
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.
Read more…
English [en] · DJVU · 1.4MB · 2003 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save
base score: 11055.0, final score: 167479.38
nexusstc/Selected Topics in Integral Geometry/44d89fed9c68c22916328304a6d9fe08.pdf
Selected Topics in Integral Geometry (Translations of Mathematical Monographs) Izrailʹ Moiseevich Gelʹfand; Semen Grigorʹevich Gindikin; Mark Iosifovich Graev American Mathematical Society, Translations of Mathematical Monographs, Translations of Mathematical Monographs, 2003
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.
Read more…
English [en] · PDF · 6.0MB · 2003 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save
base score: 11065.0, final score: 167478.95
upload/newsarch_ebooks/2018/08/22/Selected Topics in Integral Geometry.djvu
Selected Topics in Integral Geometry (Translations of Mathematical Monographs) Izrailʹ Moiseevich Gelʹfand; Semen Grigorʹevich Gindikin; Mark Iosifovich Graev American Mathematical Society, Translations of Mathematical Monographs, Translations of Mathematical Monographs, 2003
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.
Read more…
English [en] · DJVU · 7.9MB · 2003 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/upload/zlib · Save
base score: 11055.0, final score: 167478.12
Your ad here.
lgli/M_Mathematics/MD_Geometry and topology/Gelfand I.M., Gindikin S.G., Graev M.I. Selected topics in integral geometry (TMM220, AMS 2003)(ISBN 0821829327)(T)(182s)_MD_.djvu
Selected Topics in Integral Geometry (Translations of Mathematical Monographs) Izrailʹ Moiseevich Gelʹfand; Semen Grigorʹevich Gindikin; Mark Iosifovich Graev American Mathematical Society, Translations of Mathematical Monographs, Translations of Mathematical Monographs, 2003
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.
Read more…
English [en] · DJVU · 1.3MB · 2003 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save
base score: 11055.0, final score: 167478.06
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