Lectures on Convex Geometry

Daniel Hug · Wolfgang Weil

ágú. 2020 · Graduate Texts in Mathematics Bók 286 · Springer Nature

Rafbók

287

Síður

Einkunnir og umsagnir eru ekki staðfestar Nánar

Um þessa rafbók

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.

Um höfundinn

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).

Gefa þessari rafbók einkunn.

Segðu okkur hvað þér finnst.

Upplýsingar um lestur

Snjallsímar og spjaldtölvur

Settu upp forritið Google Play Books fyrir Android og iPad/iPhone. Það samstillist sjálfkrafa við reikninginn þinn og gerir þér kleift að lesa með eða án nettengingar hvar sem þú ert.

Fartölvur og tölvur

Hægt er að hlusta á hljóðbækur sem keyptar eru í Google Play í vafranum í tölvunni.

Lesbretti og önnur tæki

Til að lesa af lesbrettum eins og Kobo-lesbrettum þarftu að hlaða niður skrá og flytja hana yfir í tækið þitt. Fylgdu nákvæmum leiðbeiningum hjálparmiðstöðvar til að flytja skrár yfir í studd lesbretti.

Tilkynna ólöglegt efni