Deutsch
English
Introduction of complex numbers and their representation in the Gaussian number plane. Description of geometric entities in the Gaussian number plane. Complex functions and differentiability.
Concrete examples:
Möbius transformations, exponential function and Joukowski function.
Applications:
- Discussion of electrical networks
- Construction of airfoils for airplanes
The program
| 09.30 - 09.45 | Welcome Prof. Dr. W. Klotz |
| 09.45 - 10.45 | Complex numbers, complex functions (basic properties) (Prof. Dr. H.- H. Kairies) |
| 10.45 - 11.15 | Coffee break |
| 11.15 - 12.15 | Möbius transformations, exponential function (Prof. Dr. H.- H. Kairies) |
| 12.15 - 13.30 | Lunch break |
| 13.30 - 14.45 | Application of complex numbers in the solution of differential equations for modeling oscillating systems (Prof. Dr. U. Mertins) |
| 14.45 - 15.15 | Coffee break |
| 15.15 - 16.00 | Conformal mappings with application in the design of airfoils (Joukowski function) (Prof. Dr. H.- H. Kairies) |
| 16.00 - 16.30 | Discussion and closing remarks |
Topic
Complex numbers, introduction to function theory
Course B404.237.292
Place
Institute of Mathematics at Clausthal University of Technology
Erzstraße 1
38678 Clausthal-Zellerfeld
Time
September 11, 2002
9:30 a.m. to 4:30 p.m.
Speakers
Prof. Dr. H. - H. Kairies,
Prof. Dr. U. Mertins
Contact
Dr. Henning Behnke
Institute of Mathematics
Erzstraße 1
38678 Clausthal-Zellerfeld, Germany
Phone: +49 5323 72-3183
Fax: +49 5323 72-2304
Email: behnke@math.tu-clausthal.de