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Transabdominal ultrasound is accepted in clinical practice as a primary imaging procedure in the diagnostic work-up and follow-up of various disorders of the gastrointestinal tract. This book provides a comprehensive overview of ultrasound in the imaging of acute and chronic inflammatory conditions of the gastrointestinal tract as well as of neoplastic and infectious diseases. All authors are considered authorities in their specific fields, and the book includes many high-quality illustrations.
First multi-year cumulation covers six years: 1965-70.
This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a broad readership, from those involved in Convex Geometry, to those focusing on Functional Analysis, Harmonic Analysis, Differential Geometry, or PDEs. The book is a addressed to PhD students and researchers, interested in Convex Geometry and its links to analysis.
In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.
Nonlinear diffusion equations have held a prominent place in the theory of partial differential equations, both for the challenging and deep math ematical questions posed by such equations and the important role they play in many areas of science and technology. Examples of current inter est are biological and chemical pattern formation, semiconductor design, environmental problems such as solute transport in groundwater flow, phase transitions and combustion theory. Central to the theory is the equation Ut = ~cp(U) + f(u). Here ~ denotes the n-dimensional Laplacian, cp and f are given functions and the solution is defined on some domain n x [0, T] in space-time. FUn damental questions concern the existence, uniqueness and regularity of so lutions, the existence of interfaces or free boundaries, the question as to whether or not the solution can be continued for all time, the asymptotic behavior, both in time and space, and the development of singularities, for instance when the solution ceases to exist after finite time, either through extinction or through blow up.
This book collects the lecture notes of the Summer School on Convex Geometry, held in Cetraro, Italy, from August 30th to September 3rd, 2021. Convex geometry is a very active area in mathematics with a solid tradition and a promising future. Its main objects of study are convex bodies, that is, compact and convex subsets of n-dimensional Euclidean space. The so-called Brunn--Minkowski theory currently represents the central part of convex geometry. The Summer School provided an introduction to various aspects of convex geometry: The theory of valuations, including its recent developments concerning valuations on function spaces; geometric and analytic inequalities, including those which com...
divA loving and admiring companion for half a century to literary titan Ezra Pound, concert violinist Olga Rudge was the muse who inspired the poet to complete his epic poem, The Cantos, and the mother of his only daughter, Mary. Strong-minded and defiant of conventions, Rudge knew the best and worst of times with Pound. With him, she coped with the wrenching dislocations brought about by two catastrophic world wars and experienced modernism’s radical transformation of the arts. In this enlightening biography, Anne Conover offers a full portrait of Olga Rudge (1895–1996), drawing for the first time on Rudge’s extensive unpublished personal notebooks and correspondence. Conover explores...
This practical text aims to provide doctors, practitioners and students with a clear guide to patient care in the fields of gastroenterology and hepatology. It includes chapters on gallstones and other diseases of the biliary tract with descriptions of diseases not common to the USA or UK.