By Leon Ehrenpreis

Written through a number one pupil in arithmetic, this monograph discusses the Radon rework, a box that has vast ranging functions to X-ray know-how, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this booklet, Ehrenpreis makes a speciality of contemporary learn and highlights the powerful dating among high-level natural arithmetic and functions of the Radon remodel to parts akin to clinical imaging.

The first a part of the booklet discusses parametric and nonparametric Radon transforms, Harmonic features and Radon remodel on Algebraic forms, nonlinear Radon and Fourier transforms, Radon rework on teams, and Radon remodel because the interrelation of geometry and research. The later elements speak about the extension of options of differential equations, sessions of Eisenstein and Poincaré, and a few difficulties of necessary geometry bobbing up in tomography. Examples and proofs are provided
throughout the ebook to help the reader's understanding.

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

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The Universality of the Radon Transform (Oxford Mathematical Monographs)

Written via a number one pupil in arithmetic, this monograph discusses the Radon rework, a box that has huge ranging functions to X-ray know-how, partial differential equations, nuclear magnetic resonance scanning, and tomography. during this e-book, Ehrenpreis specializes in fresh study and highlights the robust dating among high-level natural arithmetic and purposes of the Radon remodel to components corresponding to scientific imaging.

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