By Leon Ehrenpreis
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.
Read or Download The Universality of the Radon Transform (Oxford Mathematical Monographs) PDF
Best differential equations books
Incorporating a couple of improvements, answer suggestions for common Partial Differential Equations, moment variation provides one of the most very important and regular tools for fixing partial differential equations (PDEs). The ideas lined contain separation of variables, approach to features, eigenfunction growth, Fourier and Laplace ameliorations, Green’s capabilities, perturbation tools, and asymptotic research.
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.
This monograph is meant to give the basics of the idea of summary parabolic evolution equations and to teach how one can observe to varied nonlinear dif- sion equations and platforms coming up in technology. the idea provides us a uni? ed and s- tematic remedy for concrete nonlinear diffusion types.
Clinical Computing and Differential Equations: An creation to Numerical tools, is a superb supplement to creation to Numerical equipment via Ortega and Poole. The publication emphasizes the significance of fixing differential equations on a working laptop or computer, which includes a wide a part of what has turn out to be known as clinical computing.
- Elliptic Equations: An Introductory Course (Birkhäuser Advanced Texts Basler Lehrbücher)
- Advances in Phase Space Analysis of Partial Differential Equations: In Honor of Ferruccio Colombini's 60th Birthday: 78 (Progress in Nonlinear Differential Equations and Their Applications)
- Progress in Partial Differential Equations: Asymptotic Profiles, Regularity and Well-Posedness (Springer Proceedings in Mathematics & Statistics)
- Stochastic Differential Equations: An Introduction with Applications in Population Dynamics Modeling
Extra resources for The Universality of the Radon Transform (Oxford Mathematical Monographs)