Bodies of Constant Width
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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.
Luis Montejano had graduate studies at MIT and the University of Utah, and he received his PhD in 1980. As a postdoc, he was member of the Institute for Advanced Studies, Princeton, and in 1990 he obtained a von Humboldt Scholarship in Heidelberg. He is Professor at the National University of Mexico, Campus Querétaro. His main mathematical interests refer to applications of topology to discrete and convex geometry.
Deborah Oliveros studiedmathematics at the National University of Mexico UNAM, and she obtained her PhD in 1997. After that she got a postdoctoral position at the University of Calgary, Canada, where she stayed for several years. She is now Professor at the National University of Mexico, Campus Juriquilla, and her main mathematical interests are convex and abstract polytopes, discrete geometry, and convexity.
- Autoren: Horst Martini , Luis Montejano , Déborah Oliveros
- 2019, 1st ed., 486 Seiten, 29 farbige Abbildungen, 129 Schwarz-Weiß-Abbildungen, Maße: 18,7 x 26,2 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3030038661
- ISBN-13: 9783030038663
- Erscheinungsdatum: 13.04.2019
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Kommentar verfassenStatt 49.99 €
39.99 €
Statt 49.99 €
19.99 €
Statt 29.98 €
24.99 €
Statt 119.99 €
99.99 €
14.99 €
Statt 19.99 €
14.99 €
Statt 36.00 € 5
19.99 € 4
Statt 29.99 €
23.99 €
Statt 49.99 €
39.99 €
Statt 59.90 € 6
24.99 € 10
11.99 €
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