Université
de Fribourg, Suisse
Faculté des sciences et de médecine Département de mathématiques |
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Analysis III-IV 2022-2023
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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 |
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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 |