19212801 Lecture

SoSe 16: Funktionentheorie

Inhalt

Complex analysis is a classical branch of mathematics that studies properties of differentiable functions on the complex plane and has links to algebra, analysis, number theory and geometry. We start by describing the complex plane and by defining the notion of complex differentiability, which is a natural extension of the notion of differentiability of real functions to the complex plane. However, we will discover that complex differentiable functions are very rigid object which have many amazing properties. A key result covered in this course is Cauchy's Integral Theorem, which says that the integral of every complex differentiable function along a loop in the complex plane is zero. We will see many beautiful consequences of this result; for example, the Cauchy Integral formula, the Residue theorem and even a proof of the Fundamental theorem of algebra.

close

Literatur:

E. Freitag and R. Busam 'Complex analysis', (Springer) 2nd Edition 2009 (the original German version is called 'Funktionentheorie')

27 Class schedule

Wed, 2016-08-24 12:00 - 14:00
Nachklausur

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Regular appointments

Mon, 2016-04-18 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-04-25 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-05-02 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-05-09 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-05-23 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-05-30 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-06-06 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-06-13 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-06-20 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-06-27 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-07-04 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-07-11 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Mon, 2016-07-18 12:00 - 14:00

Lecturers:

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-04-20 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-04-27 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-05-04 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-05-11 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-05-18 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-05-25 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-06-01 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-06-08 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-06-15 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-06-22 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-06-29 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-07-06 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-07-13 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)

Wed, 2016-07-20 12:00 - 14:00

Location:
A6/SR 031 Seminarraum (Arnimallee 6)