Coverart for item
The Resource Bodies of Constant Width : An Introduction to Convex Geometry with Applications, by Horst Martini, Luis Montejano, Déborah Oliveros, (electronic resource)

Bodies of Constant Width : An Introduction to Convex Geometry with Applications, by Horst Martini, Luis Montejano, Déborah Oliveros, (electronic resource)

Label
Bodies of Constant Width : An Introduction to Convex Geometry with Applications
Title
Bodies of Constant Width
Title remainder
An Introduction to Convex Geometry with Applications
Statement of responsibility
by Horst Martini, Luis Montejano, Déborah Oliveros
Creator
Contributor
Author
Subject
Language
eng
Summary
This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts. An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. The book then delves into a number of related topics, which include Constant width bodies in convexity (sections and projections, complete and reduced sets, mixed volumes, and further partial fields) Sets of constant width in non-Euclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further non-Euclidean spaces) The concept of constant width in analysis (using Fourier series, spherical integration, and other related methods) Sets of constant width in differential geometry (using systems of lines and discussing notions like curvature, evolutes, etc.) Bodies of constant width in topology (hyperspaces, transnormal manifolds, fiber bundles, and related topics) The notion of constant width in discrete geometry (referring to geometric inequalities, packings and coverings, etc.) Technical applications, such as film projectors, the square-hole drill, and rotary engines Bodies of Constant Width: An Introduction to Convex Geometry with Applications will be a valuable resource for graduate and advanced undergraduate students studying convex geometry and related fields. Additionally, it will appeal to any mathematicians with a general interest in geometry.--
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Martini, Horst
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Montejano, Luis
  • Oliveros, Déborah
Series statement
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Discrete groups
  • Global differential geometry
  • Global analysis (Mathematics)
  • Combinatorics
  • Topology
Label
Bodies of Constant Width : An Introduction to Convex Geometry with Applications, by Horst Martini, Luis Montejano, Déborah Oliveros, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-03868-7
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
Introduction -- Convex Geometry -- Basic Properties of Bodies of Constant Width -- Figures of Constant Width -- Systems of Lines in the Plane -- Spindle Convexity -- Complete and Reduced Convex Bodies -- Examples and Constructions -- Sections of Bodies of Constant Width -- Bodies of Constant Width in Mikowski Spaces -- Bodies of Constant Width in Differential Geometry -- Mixed Volumes -- Bodies of Constant Width in Analysis -- Geometric Inequalities -- Bodies of Constant Width in Discrete Geometry -- Bodies of Constant Width in Topology -- Concepts Related to Constant Width -- Bodies of Constant Width in Art, Design, and Engineering
Control code
978-3-030-03868-7
Dimensions
unknown
Extent
1 online resource (XI, 486 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030038687
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
163 illustrations, 32 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1090679164
Label
Bodies of Constant Width : An Introduction to Convex Geometry with Applications, by Horst Martini, Luis Montejano, Déborah Oliveros, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=https://doi.org/10.1007/978-3-030-03868-7
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
Introduction -- Convex Geometry -- Basic Properties of Bodies of Constant Width -- Figures of Constant Width -- Systems of Lines in the Plane -- Spindle Convexity -- Complete and Reduced Convex Bodies -- Examples and Constructions -- Sections of Bodies of Constant Width -- Bodies of Constant Width in Mikowski Spaces -- Bodies of Constant Width in Differential Geometry -- Mixed Volumes -- Bodies of Constant Width in Analysis -- Geometric Inequalities -- Bodies of Constant Width in Discrete Geometry -- Bodies of Constant Width in Topology -- Concepts Related to Constant Width -- Bodies of Constant Width in Art, Design, and Engineering
Control code
978-3-030-03868-7
Dimensions
unknown
Extent
1 online resource (XI, 486 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030038687
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
163 illustrations, 32 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1090679164

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