Complex Function
Theory 1
Paul Biran
Lectures:
- Tuesdays 10:00-12:00, Dach.
- Thursdays 10:00-11:00, Orenstein 103.
Office Hours: Tuesdays, 16:10 - 17:10, Schreiber 208.
Course Assitants: Michael Khanevsky.
Prerequisites:
Linear Algebra, Calculus 2 (hedva 2 or infi 2).
It is very recommended to take "hedva 3" or "infi 3" in parallel.
Homework:
You will normally get a homework assingment once a week
(in the "tirgul" class). Turning homework in is NOT mandatory, however
it is strongly recommended as a necessary condition for succeeding in
the course.
Syllabus:
This is a standard course in complex analysis of one
variable. We will follow the topics
from the "yedion".
Here are couple of books that can be found in the library
and may be of use:
- L. Ahlfors, "Complex analysis".
- B. Palka, "An introduction to complex function
theory".
- E. Hille, "Analytic function theory".
- Markushevich, "Theory of functions of a complex
variable".
- Sh. Agmon, "Analiza classit" (in Hebrew).
- Open University, "Functziot Merukavot", units 1-10
(in Hebrew).
This is just a partial list, there are many other
good
books. I do NOT
recommend any of the Schaum series. From the books above, the
one
by Ahlfors is probably the most renowned one. There are several copies
of it in the library.
Here are my lecture notes scanned (in pdf
format).
Thanks to Daniel Bird for
taking care of the scanning!
The notes below were written for my
personal use, and I am willing to
share them with you. However, these notes are very raw, they may not be
complete and may
contain inaccuracies of all sort of types, which I do not take any
responsability for. Furthermore, the material I teach in class is
usually explained in much more detail than the notes below, and
occasionally I cover topics that do not appear in the notes at all.
Thus, use of these notes is totally
on your responsability, and you
should by no means trust these notes as the only source for studying,
nor replace attendence in
class by reading these notes.
- #1,
#2,
#3-4,
#5,
#6,
#7,
supplements
to 1-7, more
supplements to #7,
- #8,
#9,
#10,
- #11,
#12,
#13,
#14,
#15,
#16,
#17,
#18
- examples of holomorphic functions, homotopies, branched covering theorem
Here is the exam from 17 February 2009. Here is its solution.