AoPSWiki Article of the Day
Function was the AoPSWiki Article of the Day for December 24th, 2008

This is a great start to an article. There should be a section for Introductory students who would have a hard time reading this as it is. A softer opening would be good for those students. Get more technical and specific as you go.--MCrawford 22:06, 20 June 2006 (EDT)

We should probably put the historical notes at the bottom of such an article so that readers find the understanding they are looking for first when reading.--MCrawford 12:52, 21 June 2006 (EDT)

I added some history and placed it at the bottom, but are you sure it should be at the end of the article?

My belief is that students will use the AoPSWiki far more to learn how to use ideas and concepts far more than to read about their development. But I could be wrong. Also, you can sign your talk posts using the button second to the right in the text panel.--MCrawford 13:47, 21 June 2006 (EDT)

Thanks. --Thor 14:42, 21 June 2006 (EDT)

Isn't it better to make "continuous functions", "monotone functions", etc. separate articles? The plan for the article, as it currently is, seems to include the entire beginners' analysis course.--Fedja 10:31, 22 June 2006 (EDT)

My opinion is that they deserve separate articles, but something about them has to appear in the main article too. But I'm not sure it's very good organized right now because topics like the graph, the inverse or monotonity should be included in the real functions, while injectivity, sujectivity domain and range are more general. --Thor 14:36, 23 June 2006 (EDT)

I simplified the introduction, because from my point of view, the only people who would be able to understand that introduction are people who already know what a function is... defeating the purpose. I also divided it into introductory/intermediate/olympiad & university sections, because simple ideas were being quickly blended with ideas from real analysis in there. Remember, we're trying to make this readable to middle school and high school students as well as for professional mathematicians.

I also feel that we should probably move some of the topics such as continutity, differentiability,... to their own pages, or else this will be cluttered really fast. --Calculuslover800 14:52, 23 June 2006 (EDT)

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