Convex Geometry
Cetraro, Italy 2021
Springer
ISBN 978-3-031-37882-9
Standardpreis
Bibliografische Daten
Fachbuch
Buch. Softcover
2023
4 s/w-Abbildungen, 7 Farbabbildungen, Bibliographien.
In englischer Sprache
Umfang: ix, 298 S.
Format (B x L): 15,5 x 23,5 cm
Gewicht: 581
Verlag: Springer
ISBN: 978-3-031-37882-9
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Lecture Notes in Mathematics; 2332 C.I.M.E. Foundation Subseries
Produktbeschreibung
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 come from the Lp Brunn--Minkowski theory; geometric and analytic notions of duality, along with their interplay with mass transportation and concentration phenomena; symmetrizations, which provide one of the main tools to many variational problems(not only in convex geometry). Each of these parts is represented by one of the courses given during the Summer School and corresponds to one of the chapters of the present volume. The initial chapter contains some basic notions in convex geometry, which form a common background for the subsequent chapters.
The material of this book is essentially self-contained and, like the Summer School, is addressed to PhD and post-doctoral students and to all researchers approaching convex geometry for the first time.
Autorinnen und Autoren
Kundeninformationen
Introductory book in Convex Geometry Accessible to non expert in the field Contains an overview on the various branches of the modern Brunn-Minkowski theory of convex bodies
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