Differential Geometry

Ulrich Pinkall

ISBN 10: 3031398378 / ISBN 13: 9783031398377

Editore: Springer, Berlin, Springer International Publishing, Deutsche Forschungsgemeinschaft, Technische Universität Berlin, Birkhäuser Okt 2023, 2023

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 203 pp. Englisch.

Codice articolo 9783031398377

Dati bibliografici

• Titolo: Differential Geometry
• Editore: Springer, Berlin, Springer International Publishing, Deutsche Forschungsgemeinschaft, Technische Universität Berlin, Birkhäuser Okt 2023
• Data di pubblicazione: 2023
• Lingua: Inglese
• ISBN 10: 3031398378
• ISBN 13: 9783031398377
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 10 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 10 millimetri di profondità
• Peso: 375 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Ulrich Pinkall was born in 1955. In 1979 he graduated in Mathematics and Physics at the University of Freiburg, where in 1981 he also got his PhD in Mathematics. From 1984 to 1986 he worked at the MPI für Mathematik in Bonn. From 1986 to 2023 he taught Mathematics at the Technical University of Berlin. From 1995 to 1996 he was Five College Professor in Amherst. From 1992 to 2002 he was head of the Sonderforschungsbereich Differential Geometry and Quantum Physics.

Oliver Gross received his B.Sc. and M.Sc. in Mathematics at TU Berlin in 2019 and 2020 respectively. Currently he is a researcher in the collaborative research center SFB TRR 109 “Discretization in Geometry and Dynamics" at TU Berlin under the supervision of Prof. Ulrich Pinkall.