9783030501822: Lectures on Convex Geometry
Couverture souple
ISBN 10 : 3030501825 ISBN 13 : 9783030501822
Editeur : Springer, 2021

Synopsis

This book provides a self-contained introduction to convex geometry in Euclidean space.  After covering the basic concepts and results, it develops Brunn–Minkowski  theory, with an exposition of mixed volumes, the Brunn–Minkowski inequality, and some of its consequences, including  the isoperimetric inequality.  Further central topics are then treated, such as surface area measures, projection functions, zonoids, and geometric valuations.  Finally, an introduction to integral-geometric formulas in Euclidean space is provided.  The numerous exercises and the supplementary material at the end of each section form an essential part of the book.

Convexity is an elementary and natural concept. It plays a key role in many mathematical fields, including functional analysis, optimization, probability theory, and stochastic geometry.

Paving the way to the more advanced and specialized literature, the material will be accessible to students in the third year and can be covered in one semester.


Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Prof. Dr. Daniel Hug (1965-) obtained his Ph.D. in Mathematics (1994) and Habilitation (2000) at Univ. Freiburg. He was an assistant Professor at TU Vienna (2000), trained and acted as a High School Teacher (2005-2007), was Professor in Duisburg-Essen (2007), Associate Professor in Karlsruhe (2007-2011), and has been a Professor in Karlsruhe since 2011.

Prof. Dr. Wolfgang Weil (1945-2018) obtained his Ph.D. in Mathematics at Univ. Frankfurt/Main in 1971 and his Habilitation in Freiburg (1976). He was an Assistant Professor in Berlin and Freiburg, Akad. Rat in Freiburg (1978-1980), and was a Professor in Karlsruhe from 1980. He was a Guest Professor in Norman, Oklahoma, USA (1985 and 1990).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2021
Langue
anglais
ISBN 10 
3030501825
ISBN 13 
9783030501822
Reliure
Broché
Nombre de pages
308
Coordonnées du fabricant
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Autres éditions populaires du même titre

9783030501792: Lectures on Convex Geometry

Edition présentée

ISBN 10 :  3030501795 ISBN 13 :  9783030501792
Editeur : Springer Nature Switzerland AG, 2020
Couverture rigide