Math 6283  Several Complex Variables
http://www.math.okstate.edu/~lebl/scvs14/
Lecture: TR 10:30–11:45am in MSCS 428
Problem session: F 1pm–2pm in MSCS 428
Lecture Notes:
In lieu of a textbook, we will be using my lecture notes, which can be
downloaded below. They will be updated frequently, so probably best to read
them online or print out only the relevant new bits. I will be putting them
together as the semester is going so they will never be complete and new stuff
will be added only as I prepare each lecture. I will probably be fixing typos
and still updating them even after lecturing on a particular material.
View/Download lecture notes
Homework:

(For Jan 31):
Let's look at all exercises in the notes until the complex chain rule for next
week. That is, all exercises up to exercise 1.2.7.

(For Feb 7):
Exercises in the notes until exercise 1.3.2. (Make sure to look at the current pdf, I've just updated it and added a few exercises)

(For Feb 14):
Exercises in the notes until exercise 1.4.8.

(For Feb 21):
Exercises in the notes until exercise 1.6.1.

(For Feb 28):
Exercises in the notes until exercise 1.6.7.

(For Mar 7):
Exercises in the notes until exercise 1.6.12.

(For Mar 28):
Exercises in the notes until exercise 2.4.25 (numbering changed).

(For Apr 4):
Exercises in the notes until exercise 2.5.7.

(For Apr 11):
Exercises in the notes until exercise 3.2.2.

(For Apr 18):
Exercises in the notes until exercise 3.3.5.

(For Apr 25):
Exercises in the notes until exercise 3.4.7.
Useful Books for Reference:

Albert Boggess,
CR manifolds and the tangential CauchyRiemann complex,
CRC Press,
1991,
MR1211412.

John P. D'Angelo,
Several complex variables and the geometry of real hypersurfaces,
CRC Press,
1993,
MR1224231.

Robert C. Gunning and
Hugo Rossi,
Analytic functions of several complex variables,
PrenticeHall Inc.,
1965,
MR0180696.

Lars Hörmander,
An introduction to complex analysis in several variables,
NorthHolland Publishing Co.,
1990,
MR1045639.

Steven G. Krantz,
Function theory of several complex variables,
Wadsworth & Brooks/Cole Advanced Books & Software,
1992,
MR1162310.

Walter Rudin,
Function theory in the unit ball of C^{n},
SpringerVerlag,
1980,
MR601594.

Hassler Whitney,
Complex analytic varieties,
AddisonWesley Publishing Co.,
1972,
MR0387634.