Analysis

Download E-books The Universality of the Radon Transform (Oxford Mathematical Monographs) PDF

By Leon Ehrenpreis

Written by way of a number one pupil in arithmetic, this monograph discusses the Radon rework, a box that has large ranging purposes to X-ray expertise, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this e-book, Ehrenpreis makes a speciality of contemporary study and highlights the robust dating among high-level natural arithmetic and purposes of the Radon remodel to parts comparable to scientific imaging.

The first a part of the e-book discusses parametric and nonparametric Radon transforms, Harmonic capabilities and Radon remodel on Algebraic kinds, nonlinear Radon and Fourier transforms, Radon rework on teams, and Radon remodel because the interrelation of geometry and research. The later components talk about the extension of ideas of differential equations, sessions of Eisenstein and Poincaré, and a few difficulties of quintessential geometry coming up in tomography. Examples and proofs are provided
throughout the booklet to help the reader's understanding.

This is the newest identify within the Oxford Mathematical Monographs, consisting of texts and monographs protecting many issues of present examine curiosity in natural and utilized arithmetic. different titles contain: Carbone and Semmes: A photograph apology for symmetry and implicitness; Higson and Roe: Analytic K-Homology; Iwaniec and Martin: Geometric functionality idea and Nonlinear research; Lyons and Qian: approach keep watch over and tough Paths. additionally new in paperback Johnson and Lapidus: The Feynman vital and
Feynman's Operational Calculus; Donaldson and Kronheimer: The geometry of four-manifolds.

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