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Required fields*

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    $\begingroup$ I rather like Krantz's book. But I am not quite sure about the "takes multiple viewpoints" part of your requirement. $\endgroup$ Commented Jul 11, 2010 at 13:12
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    $\begingroup$ 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. $\endgroup$ Commented Jul 11, 2010 at 15:49
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    $\begingroup$ 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. $\endgroup$ Commented May 18, 2019 at 14:17