Integral Geometry of Tensor Fields

V. A. Sharafutdinov

ISBN 10: 9067641650 / ISBN 13: 9789067641654

Published by De Gruyter, 1994

About this Item

Zustand: Gut | Seiten: 276 | Sprache: Englisch | Produktart: Bücher.

Seller Inventory # 12333396/203

Bibliographic Details

• Title: Integral Geometry of Tensor Fields
• Publisher: De Gruyter
• Publication Date: 1994
• Language: English
• ISBN 10: 9067641650
• ISBN 13: 9789067641654
• Binding: Hardcover
• Condition: Gut

About this title

Synopsis

The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.

Synopsis

Integral geometry can be defined as determining some function or a more general quantity, which is defined on a manifold, given its integrals over submanifolds or a prescribed class. In this book, only integral geometry problems are considered for which the submanifolds are one-dimensional. The book deals with integral geometry of symmetric tensor fields. This section of integral geometry can be considered as the mathematical basis for tomography or anisotropic media whose interaction with sounding radiation depends essentially on the direction in which the latter propagates. The main mathematical objects tackled have been give the term "ray transform", which refers mainly to optical and seismic rays rather than to X-rays. This book should be of interest to mathematicians, engineers, computer scientists and physicists who are woking in the fields of light-conductor technology, plasma physics tomography and liquid crystals.