Math 6283 - Several Complex Variables

https://math.okstate.edu/people/lebl/scv-s19/

Lecture: MWF 12:30-1:20 in MSCS 445

Lecturer: Jiří Lebl
Office: MSCS 505
Office hours: M 4:30-5:20pm (MLSC main room), WF 1:30-2:20pm (office), and by appointment at other times.
Web: http://math.okstate.edu/people/lebl/
Email: lebl at okstate dot edu

Problem session: W 2:30-3:20 in MSCS 445

Text:

The textbook is my notes from last couple of times teaching this, which are conveniently formatted as to pretend being a book:
Tasty Bits of Several Complex Variables

Website for the book (https://www.jirka.org/scv/)

Book as PDF (https://www.jirka.org/scv/scv.pdf)

If you want, you can also checkout the updated work-in-progress draft PDF for the next version. Be careful though, many exercises have changed numbers, as have many other numbered items. There's lots of new exercises though, and some new pictures throughout as well as some new apendices.

Grading policy:

Grade is "for participation". Homework will be assigned and we will go over it in the problem session together. There will be no exams.

Homework:

The homework is essentially whatever we get to in the lecture by say end of Monday or perhaps even Wednesday if you are adventurous. You should go through the homework, and work out whatever problems you can. Then we'll go over the homework and solutions in the homework session, or we'll actually solve some of the problems there.

Useful Books for Reference:

  1. Albert Boggess, CR manifolds and the tangential Cauchy-Riemann complex, CRC Press, 1991, MR1211412.
  2. John P. D'Angelo, Several complex variables and the geometry of real hypersurfaces, CRC Press, 1993, MR1224231.
  3. Robert C. Gunning and Hugo Rossi, Analytic functions of several complex variables, Prentice-Hall Inc., 1965, MR0180696.
  4. Lars Hörmander, An introduction to complex analysis in several variables, North-Holland Publishing Co., 1990, MR1045639.
  5. Steven G. Krantz, Function theory of several complex variables, Wadsworth & Brooks/Cole Advanced Books & Software, 1992, MR1162310.
  6. Walter Rudin, Function theory in the unit ball of Cn, Springer-Verlag, 1980, MR601594.
  7. Hassler Whitney, Complex analytic varieties, Addison-Wesley Publishing Co., 1972, MR0387634.

Useful Links:

Overleaf is an online collaborative LaTeX editor, and really you should be typing everything in LaTeX if you are doing math.

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