Talk:Complex analysis: Difference between revisions

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imported>Vipul Naik
imported>Jitse Niesen
(→‎Reworked introduction: "Definitely an improvement (in my opinion), so thanks for that. ...")
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I've reworked the introduction to the article, to clarify that complex analysis really involves functions satisfying complex differentiability conditions, rather than just complex-valued functions. Also, a brief note on a comparison between complex analysis and real analysis. This reflects what could be thought of as a personal opinion, but I think the opinion is generally echoed in the math community. [[User:Vipul Naik|Vipul Naik]] 19:28, 27 February 2008 (CST)
I've reworked the introduction to the article, to clarify that complex analysis really involves functions satisfying complex differentiability conditions, rather than just complex-valued functions. Also, a brief note on a comparison between complex analysis and real analysis. This reflects what could be thought of as a personal opinion, but I think the opinion is generally echoed in the math community. [[User:Vipul Naik|Vipul Naik]] 19:28, 27 February 2008 (CST)
:Definitely an improvement (in my opinion), so thanks for that. I think the comparison between real and complex analysis is acceptable, though there is a tension with the [[CZ:Neutrality Policy|Neutrality Policy]] and this comparison should ideally be worked out later in the article. There is a slight danger that the introduction is seen to imply that complex analysis concerns only analytic (or meromorphic) functions, but I can't see a way to improve that without destroying the flow of the text. -- [[User:Jitse Niesen|Jitse Niesen]] 08:22, 28 February 2008 (CST)

Revision as of 08:22, 28 February 2008

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 Definition Field of mathematics, precisely of mathematical analysis, that studies those properties which characterize functions of complex variables. [d] [e]
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This is some material that used to be in the complex number article, but I felt an entire article on complex analysis would be the better place for it. However all I did was cut and paste from there to here, so this article doesn't have a good structure yet. Feel free to attack it! - Greg Martin 18:53, 29 April 2007 (CDT)

Reworked introduction

Hi,

I've reworked the introduction to the article, to clarify that complex analysis really involves functions satisfying complex differentiability conditions, rather than just complex-valued functions. Also, a brief note on a comparison between complex analysis and real analysis. This reflects what could be thought of as a personal opinion, but I think the opinion is generally echoed in the math community. Vipul Naik 19:28, 27 February 2008 (CST)

Definitely an improvement (in my opinion), so thanks for that. I think the comparison between real and complex analysis is acceptable, though there is a tension with the Neutrality Policy and this comparison should ideally be worked out later in the article. There is a slight danger that the introduction is seen to imply that complex analysis concerns only analytic (or meromorphic) functions, but I can't see a way to improve that without destroying the flow of the text. -- Jitse Niesen 08:22, 28 February 2008 (CST)