Affine-regular Polygons Inscribed in Plane Convex Sets PDF Download
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Author: B. Grunbaum
Publisher:
ISBN:
Category : Convex sets
Languages : en
Pages : 14
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Book Description
Author: B. Grunbaum
Publisher:
ISBN:
Category : Convex sets
Languages : en
Pages : 14
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Book Description
Author: United States. Air Force. Office of Scientific Research
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 718
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Book Description
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 188
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Book Description
Author: Victor Klee
Publisher: American Mathematical Soc.
ISBN: 0821814079
Category : Mathematics
Languages : en
Pages : 534
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Book Description
Author: Frederick Albert Valentine
Publisher:
ISBN:
Category : Convex sets
Languages : en
Pages : 258
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Book Description
Author: Peter Brass
Publisher: Springer Science & Business Media
ISBN: 0387299297
Category : Mathematics
Languages : en
Pages : 507
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Book Description
This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.
Author: Horst Martini
Publisher: Springer
ISBN: 3030038688
Category : Mathematics
Languages : en
Pages : 486
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 522
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Book Description
Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 590
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Book Description
Author: K. Böröczky
Publisher: Elsevier Science & Technology
ISBN:
Category : Mathematics
Languages : en
Pages : 716
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Book Description
Hardbound. Problems in discrete geometry, convexity and combinatorial geometry are examined in this volume. Some of the topics addressed include crystallography, classical differential geometry and rigidity theory. Other papers discuss the connections of geometry with biology, architecture, arts, and even psychology.
