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)
Resource Information
The item Bodies of Constant Width : An Introduction to Convex Geometry with Applications, by Horst Martini, Luis Montejano, Déborah Oliveros, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Bodies of Constant Width : An Introduction to Convex Geometry with Applications, by Horst Martini, Luis Montejano, Déborah Oliveros, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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 nonEuclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further nonEuclidean 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 squarehole 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.
 Language
 eng
 Extent
 1 online resource (XI, 486 pages)
 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
 Isbn
 9783030038687
 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
 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 nonEuclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further nonEuclidean 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 squarehole 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)
 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
 9783030038687
 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, noncommercial 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)
 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
 9783030038687
 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, noncommercial 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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