Carte Differential Geometry Ulrich Pinkall

Differential Geometry

From Elastic Curves to Willmore Surfaces

Limbă: engleză
Legare: Carte broșată
Editura: Springer, Berlin
Disponibilitate: În depozitul extern
Expediem în 8-11 zile
271.68 lei
This open access book covers the main topics for a course on the differential geometry of curves and...

Informații despre carte

Limbă
engleză
Legare
Carte - Carte broșată
Publicat
2023
Pagini
170
EAN
9783031398377
Enbook ID
43703997
Greutate
362
Dimensiuni
155 x 235

Descriere completă

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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