Level
Baccalaureate +4
ECTS
6 credits
Component
UFR IM2AG (informatique, mathématiques et mathématiques appliquées)
Semester
Automne
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
Course parts
- TDTutorials (TD)33h
- CMLectures (CM)21h
Period
Semester 7
Bibliography
- Patrice Tauvel, Analyse complexe pour la Licence 3, Dunod 2006
- Éric Amar, Étienne Matheron, Analyse complexe, Cassini 2003