Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Card Display
Catalogue Card Display
RAK
Title: Bodies of Constant Width ([EBook]) : An Introduction to Convex Geometry with Applications/ by Horst Martini, Luis Montejano, Déborah Oliveros. Dewey Class: 516.1 Author: Martini, Horst. author. Edition statement: 1st ed. 2019. Added Personal Name: Montejano, Luis. author. Oliveros, Déborah. author. Publication: Cham : Springer International Publishing, 2019. Other name(s): SpringerLink (Online service) Physical Details: XI, 486 pages : 163 illus., 32 illus. in color. : online resource. ISBN: 9783030038687 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). Summary Note: 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.: Contents note: 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. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
Quick Search
Search for