Free Delivery Over $100
|
|
|||
|
||||
OverviewThis 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. Full Product DetailsAuthor: Ulrich Pinkall , Oliver GrossPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 1st ed. 2024 Weight: 0.404kg ISBN: 9783031398377ISBN 10: 3031398378 Pages: 203 Publication Date: 14 February 2024 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents- Part I Curves. - 1. Curves in Rn. - 2. Variations of Curves. - 3. Curves in R2. - 4. Parallel Normal Fields. - 5. Curves in R3. - Part II Surfaces. - 6. Surfaces and Riemannian Geometry. - 7. Integration and Stokes’ Theorem. - 8. Curvature. - 9. Levi-Civita Connection. - 10. Total Gaussian Curvature. - 11. Closed Surfaces. - 12. Variations of Surfaces . - 13. Willmore Surfaces.ReviewsAuthor Information"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." Tab Content 6Author Website:Countries AvailableAll regions |
||||
