Download E-books Integral Geometry of Tensor Fields (Inverse and Ill-Posed Problems) PDF

Imperative geometry could be outlined as picking a few functionality or a extra common volume, that's outlined on a manifold, given its integrals over submanifolds or a prescribed type. during this publication, basically quintessential geometry difficulties are thought of for which the submanifolds are one-dimensional. The e-book bargains with necessary geometry of symmetric tensor fields. This component of critical geometry should be regarded as the mathematical foundation for tomography or anisotropic media whose interplay with sounding radiation relies primarily at the course during which the latter propagates. the most mathematical gadgets tackled were supply the time period "ray transform", which refers in most cases to optical and seismic rays instead of to X-rays. This e-book might be of curiosity to mathematicians, engineers, laptop scientists and physicists who're woking within the fields of light-conductor expertise, plasma physics tomography and liquid crystals.

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