Modern concepts of Analysis, including Distributions, Sobolev spaces, Fourier analysis, Inequalities, Banach and Hilbert spaces, spectral theorem, etc.
The various concepts will be illustrated with examples of applications in physics.
Sample literature:
• Lieb-Loss: Analysis. Amer. Math. Soc. 2001.
• Rudin: Real and Complex Analysis. McGraw-Hill 1987.
• Reed-Simon: Functional Analysis. Academic Press 1980.
Target group: first year students in mathematics
Prerequisites: Calculus and undergraduate real analysis (in the US system); equivalently Analysis I—III (German system) and linear algebra.
Evaluation: homework assignments and exam (take home)
Teaching format: Lectures + recitation
ECTS: 6 Year: 2021
Track segment(s):
MAT-ANA Mathematics - Analysis
Teacher(s):
László Erdös Robert Seiringer
Teaching assistant(s):
If you want to enroll to this course, please click: REGISTER
- Teacher: László Erdös
- Teacher: Jan Maas
- Teaching Assistant: Krzysztof MYSLIWY
- Teaching Assistant: Barbara Roos