Université de Fribourg, Suisse
Faculté des sciences et de médecine
Département de mathématiques
Analysis III-IV
2022-2023
Course catalogue SMA.02131 SMA.02132
Vorlesung
Übungen
Patrick Ghanaat
Luca Nalon; Nicola Paddeu
Vector fields and differential equations, 1-forms and line integrals, holomorphic functions, residue theorem, Lebesgue integral in R^n; integration over submanifolds of R^n, vector analysis, harmonic functions and Dirichlet problem, conformal mapping

List of topics: Analysis III Analysis IV

This course will be given using Moodle: Moodle Analysis III Moodle Analysis IV
Literatur - références
Analysis I-III Konrad Königsberger: Analysis 1 und 2, Springer
Vocabulaire allemand-français Königsberger: Band 1 / Band 2
Le cours se fera sans script, mais sera basé sur le livre de Königsberger, qui est vivement recommandé. Königsbergers Buch ist Grundlage der Vorlesungen Analysis I-III und wird anstelle eines Skriptes zur Anschaffung empfohlen.

Otto Forster: Analysis 1,2,3, Vieweg
Wolfgang Fischer, Ingo Lieb: Funktionentheorie, Vieweg
Analysis IV David Gilbarg, Neil S. Trudinger: Elliptic partial differential equations of second order, chapter 2
Walter Rudin: Real and Complex Analysis, McGraw-Hill (translated into several languages)
Serge Lang: Real and Functional Analysis, Springer