Kniha Differential Geometry Ulrich Pinkall

Differential Geometry

From Elastic Curves to Willmore Surfaces

Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer, Berlin
Dostupnost: Skladem u dodavatele
Odesíláme za 8-11 dnů
1 120
This open access book covers the main topics for a course on the differential geometry of curves and...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2023
Stránek
170
EAN
9783031398377
Enbook ID
43703997
Vydavatel
Hmotnost
362
Rozměry
155 x 235

Kompletní popis

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.

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