Coverart for item
The Resource Lectures on Convex Geometry, by Daniel Hug, Wolfgang Weil, (electronic resource)

Lectures on Convex Geometry, by Daniel Hug, Wolfgang Weil, (electronic resource)

Label
Lectures on Convex Geometry
Title
Lectures on Convex Geometry
Statement of responsibility
by Daniel Hug, Wolfgang Weil
Creator
Contributor
Author
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Hug, Daniel
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Weil, Wolfgang
Series statement
  • Graduate Texts in Mathematics,
  • Springer eBooks.
Series volume
286
http://library.link/vocab/subjectName
  • Convex geometry
  • Discrete geometry
  • Polytopes
  • Measure theory
  • Functional analysis
Label
Lectures on Convex Geometry, by Daniel Hug, Wolfgang Weil, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-50180-8
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Preliminaries and Notation -- 1. Convex Sets -- 2. Convex Functions -- 3. Brunn-Minkowski Theory -- 4. From Area Measures to Valuations -- 5. Integral Geometric Formulas.-6. Solutions of Selected Exercises -- References -- Index
Control code
978-3-030-50180-8
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030501808
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
Label
Lectures on Convex Geometry, by Daniel Hug, Wolfgang Weil, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-50180-8
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Preliminaries and Notation -- 1. Convex Sets -- 2. Convex Functions -- 3. Brunn-Minkowski Theory -- 4. From Area Measures to Valuations -- 5. Integral Geometric Formulas.-6. Solutions of Selected Exercises -- References -- Index
Control code
978-3-030-50180-8
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030501808
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

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