Degrees incorporating this pedagocial element :
Description
- Holomorphic and analytical functions, in particular the equivalence between the two notions, exponential function and logarithm, principle of analytic continuation, principle of isolated zeros, Cauchy formula for the disc
- Elemental properties of holomorphic functions (Cauchy inequalities, sequences and series of holomorphic functions, property of the mean, and principle of the maximum)
- Cauchy theory (existence of primitives, Cauchy theorems)
- Meromorphic functions (classification of isolated singularities, meromorphic functions, residue theorem, Laurent series)
- Riemann conformal representation theorem
Bibliography
- Patrice Tauvel, Analyse complexe pour la Licence 3, Dunod 2006
- Éric Amar, Étienne Matheron, Analyse complexe, Cassini 2003
Courses offered by :
In brief
Period : Semester 7Credits : 6
Number of hours
- Tutorials (TD) : 33h
- Lectures (CM) : 21h
Hing methods : In person
Location(s) : Grenoble
Language(s) : French
Contact(s)
Program director
Vincent Beffara
International students
Open to exchange students