Oliver Gross: Differential Geometry
Differential Geometry
Buch
- From Elastic Curves to Willmore Surfaces
- Springer International Publishing, 02/2024
- Einband: Kartoniert / Broschiert, Paperback
- Sprache: Englisch
- ISBN-13: 9783031398377
- Bestellnummer: 11765977
- Umfang: 216 Seiten
- Auflage: 2024
- Gewicht: 375 g
- Maße: 235 x 155 mm
- Stärke: 12 mm
- Erscheinungstermin: 14.2.2024
- Serie: Compact Textbooks in Mathematics
Achtung: Artikel ist nicht in deutscher Sprache!
Klappentext
This open access book covers the main topics for a course on the differential geometry of curves and surfaces. Unlike the common approach in existing textbooks, there is a strong focus on variational problems, ranging from elastic curves to surfaces that minimize area, or the Willmore functional. Moreover, emphasis is given on topics that are useful for applications in science and computer graphics. Most often these applications are concerned with finding the shape of a curve or a surface that minimizes physically meaningful energy. Manifolds are not introduced as such, but the presented approach provides preparation and motivation for a follow-up course on manifolds, and topics like the Gauss-Bonnet theorem for compact surfaces are covered.Biografie (Oliver Gross)
Oliver Gross teaches at the University of Bielefeld and at the German Sports University in Cologne. For many years he has managed his own Wing-Tsun and Escrima school in Cologne. Oliver Gross
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Differential Geometry
EUR 53,32*