most recent 30 from http://mathoverflow.net 2013-05-23T21:19:18Z http://mathoverflow.net/feeds/question/31395 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/31395/functions-of-several-complex-variables-book-recommendations Andrew L 2010-07-11T10:55:44Z 2010-07-27T20:10:47Z

<p>Can anyone recommend a good comprehensive introduction to functions of several complex variables that a) is fairly up to date, b) isn't a geometry or an algebra book only, but takes multiple viewpoints? I don't mind texts that require a lot of background as long as they present it intelligibly.</p> <p>Just as good would be links to lecture courses by experts on the subjects that are accessible and do the job. </p> <p>I've seen Griffith/Harris, Grauert and Gunning's 3 volume treatise. Gunning looks the best of the three, but I was hoping for something more up-to-date. This is still a very active field. I haven't seen Krantz yet. </p>

http://mathoverflow.net/questions/31395/functions-of-several-complex-variables-book-recommendations/31396#31396 babubba 2010-07-11T11:05:21Z 2010-07-11T11:05:21Z

<p>I really like</p> <p>Several complex variables with connections to algebraic geometry and Lie groups By Joseph L. Taylor</p> <p><a href="http://books.google.co.uk/books?id=i8lUNpZ379MC&amp;printsec=frontcover&amp;dq=joseph+taylor+several+complex&amp;source=bl&amp;ots=7MVqaXprex&amp;sig=o63JAEz_sKc-2e63qxcSsIBYwcQ&amp;hl=en" rel="nofollow">http://books.google.co.uk/books?id=i8lUNpZ379MC&amp;printsec=frontcover&amp;dq=joseph+taylor+several+complex&amp;source=bl&amp;ots=7MVqaXprex&amp;sig=o63JAEz_sKc-2e63qxcSsIBYwcQ&amp;hl=en</a></p>

http://mathoverflow.net/questions/31395/functions-of-several-complex-variables-book-recommendations/33566#33566 Anweshi 2010-07-27T20:10:47Z 2010-07-27T20:10:47Z

<p>For a great introduction, try Raghavan Narasimhan, "Several complex variables", Chicago lectures in mathematics.</p> <p>Well-written, concise and accessible.</p>