Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

This question already has an answer here:

Could any one tell me name of some books on several complex variable for some one who will start reading the subject for the first time in his life. he has back ground on Differential geometry,complex analysis one variable, algebraic topology,commutative algebra.

share|cite|improve this question

marked as duplicate by Amzoti, Dennis Gulko, Davide Giraudo, Tara B, Git Gud Mar 23 '13 at 18:10

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

See:… – mrf Jun 26 '12 at 15:51
up vote 1 down vote accepted

I believe there's a really nice book by Steven Krantz called Function Theory of Several Complex Variables. I know I've seen a large and organized pdf of his Complex Variables stuff, so one might think you could find the former somewhere as well...

share|cite|improve this answer
Though I should mention I'm not familiar with that specific textbook, only his writing style, of which I'm a fan. – MGN Jun 26 '12 at 16:01

I have always had a soft spot for Gunning and Rossi ("Analytic Functions of Several Complex Variables"), probably because it is more "algebraic" in its approach) (sheaves, local rings, and so on. Hormander's "Introduction to Complex Analysis in Several Variables" takes what I always thought was a more "analytic" approach. I had it as a text in a course on SCV. Given your background, I might suggest Gunning-Rossi first. I have been out of touch with this area for some time. I'm sure there are more "modern" texts out there that would be fine for your purposes. Perhaps another responder could steer you toward them. I know there is a book by Stephen Krantz, for instance, but have no first-hand knowledge of it.

share|cite|improve this answer

Not the answer you're looking for? Browse other questions tagged or ask your own question.