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.
General
| Imprint: |
Birkhauser Verlag AG
|
| Country of origin: |
Switzerland |
| Series: |
Compact Textbooks in Mathematics |
| Release date: |
October 2023 |
| First published: |
2023 |
| Authors: |
Ulrich Pinkall
• Oliver Gross
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
171 |
| Edition: |
1st ed. 2023 |
| ISBN-13: |
978-3-03-139837-7 |
| Categories: |
Books
|
| LSN: |
3-03-139837-8 |
| Barcode: |
9783031398377 |
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