Kniha Differential Geometry Ulrich Pinkall

Differential Geometry

From Elastic Curves to Willmore Surfaces

Jazyk: Angličtina
Väzba: Brožovaná
Vydavateľ: Springer, Berlin
Dostupnosť: Skladom u dodávateľa
Odosielame za 8-11 dní
49.00
This open access book covers the main topics for a course on the differential geometry of curves and...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2023
Stránok
170
EAN
9783031398377
Enbook ID
43703997
Vydavateľ
Hmotnosť
362
Rozmery
155 x 235

Kompletný 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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