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I'm removing the reference to Riemannian geometry, since this is a subcategory of differential geometry.--Mathoreilly 15:11, 30 June 2008 (EDT)

I also removed the reference to spatial forms, since this belongs in a discussion on Euclidean geometry, and not geometry as a general branch of mathematics.--Mathoreilly 15:13, 30 June 2008 (EDT)

I added geometric measure theory, which is another valid discipline in geometry which is very different from the other branches listed. Additionally, I changed the remark at the beginning about geometry being concerned with points, lines, surfaces, etc., as this is too narrow a description of the field. Finally, the primary branches of pure mathematics are algebra, analysis, and geometry-not algebra and geometry. And it's only fair to include logic and number theory as well, which are enormous subjects with a flavor all their own. In any event, algebra is certainly not the study of numbers--this is number theory. --Mathoreilly 15:28, 30 June 2008 (EDT)

Until this basic article is written, we should not waste our time with advanced articles. If you're showing off, stop. If you're mocking high school students, don't. Please help our project by providing basic, reliable information or be elsewhere. --Ed Poor Talk 06:51, 29 August 2008 (EDT)
And while you're at it, please provide references for these definitions. Most students are instructed not to blindly believe things they read on the internet, even here, and wisely so. A reference to a reputable math book or web site will give the student confidence that the information is correct, and may help him find further information is he is so inclined. --Hsmom 09:34, 29 August 2008 (EDT)

Mom, the best website is Wolfram MathWorld. I've never found an error in it.

As for Wikipedia, well, if it didn't have that edit button I'd never go there. Half the time I look something up I have to correct it before I can use it. --Ed Poor Talk 20:23, 1 September 2008 (EDT)