Minimální plochy a jejich využití
| Thesis title in Czech: | Minimální plochy a jejich využití |
|---|---|
| Thesis title in English: | Minimal surfaces and their applications |
| Key words: | minimální plochy, střední křivost, variační počet, katenoid, helikoid |
| English key words: | minimal surfaces, mean curvature, calculus of variations, catenoid, helicoid |
| Academic year of topic announcement: | 2013/2014 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | doc. RNDr. Zbyněk Šír, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 01.11.2013 |
| Date of assignment: | 01.11.2013 |
| Confirmed by Study dept. on: | 12.11.2013 |
| Date and time of defence: | 25.06.2014 00:00 |
| Date of electronic submission: | 20.05.2014 |
| Date of submission of printed version: | 22.05.2014 |
| Date of proceeded defence: | 25.06.2014 |
| Opponents: | doc. RNDr. Antonín Slavík, Ph.D. |
| Guidelines |
| Student se hlouběji seznámí s vlastnostmi minimálních a příbuzných ploch.
Zejména bude zkoumat vlastnosti těchto ploch vhodné pro praktické využití, např. v architektuře. |
| References |
| - Farin, Hoschek, Kim, HANDBOOK OF COMPUTER AIDED GEOMETRIC DESIGN, Elsevier 2002
- Do Carmo, M. P., Differential geometry of curves and surfaces, New Jersey 1976 - Pressley, A., Elementary differential geometry, Springer 2010 - Pottmann, H. et al., Architectural Geometry, Bentley Institute Press 2007 - Oprea, J, The Mathematics of Soap Films, AMS 2000 |