Selected Topics in Integral Geometry

Released on by Izrail_ Moiseevich Gel_fand
preview-18

  • Selected Topics in Integral Geometry Book Detail

  • Author : Izrail_ Moiseevich Gel_fand
  • Release Date : 2003-09-02
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 192
  • ISBN 13 : 9780821898048
  • File Size : 86,86 MB
DOWNLOAD BOOK

Selected Topics in Integral Geometry by Izrail_ Moiseevich Gel_fand PDF Summary

Book Description: 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. The present 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. Many of the results in the book were obtained by the authors in the course of their career-long work in integral geometry.

Disclaimer: www.yourbookbest.com does not own Selected Topics in Integral Geometry books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Selected Topics in Integral Geometry

Selected Topics in Integral Geometry

File Size : 75,75 MB
Total View : 4770 Views
DOWNLOAD

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 submanif

Selected Topics in Integral Geometry

Selected Topics in Integral Geometry

File Size : 23,23 MB
Total View : 4387 Views
DOWNLOAD

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 submanif

Selected Topics in Integral Geometry

Selected Topics in Integral Geometry

File Size : 35,35 MB
Total View : 4980 Views
DOWNLOAD

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 submanif

Harmonic Analysis and Integral Geometry

Harmonic Analysis and Integral Geometry

File Size : 93,93 MB
Total View : 9196 Views
DOWNLOAD

Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer Univer