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May 18, 2019 at 14:17 comment added Craig There's actually two approaches to the subject. One is analytical. Hoermander's book is the best reference I know. There are also good notes by Demailly on the d-bar problem and the Levi problem. Then there is the Oka-Cartan approach developed by Grauert and Remmert using algebra and sheaf theory. Gunning and Rossi "analytic functions" follows this approach.
May 9, 2018 at 11:09 history edited Martin Sleziak
change tag to (textbook-recommendation) - see https://mathoverflow.net/tags/books/info and https://mathoverflow.net/tags/textbook-recommendation/info
May 6, 2018 at 13:58 history edited Wojowu
Adding a very relevant tag
Mar 29, 2017 at 2:58 answer added Jiri Lebl timeline score: 18
Jul 27, 2010 at 20:10 answer added Anweshi timeline score: 3
Jul 11, 2010 at 18:02 history edited Yemon Choi
added tags
Jul 11, 2010 at 15:49 comment added The Mathemagician Well,the objects of functions of several complex variables are manifolds with a complex topological vector space structure.Therefore,they are the centerpieces of the bulk of post-19th century analysis and geometry and the tools of sheaf theory via commutative algebra are deeply interwoven in them.As a result of all this,any "pure" approach-say,emphasizing analysis-only tells part of the story.
Jul 11, 2010 at 14:13 history edited Charles Matthews CC BY-SA 2.5
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Jul 11, 2010 at 13:12 comment added Willie Wong I rather like Krantz's book. But I am not quite sure about the "takes multiple viewpoints" part of your requirement.
Jul 11, 2010 at 11:05 answer added babubba timeline score: 7
Jul 11, 2010 at 10:55 history asked The Mathemagician CC BY-SA 2.5