81. Overcoming Bias: Trust In Math http//en.wikipedia.org/wiki/real_analysis. This will give you the rigorous basis upon which calculus is founded. dy/dx is not dividing zero by zero, http://www.overcomingbias.com/2008/01/trust-in-math.html

Overcoming Bias Main January 14, 2008 Trust in Math Followup to Expecting Beauty I was once reading a Robert Heinlein story - sadly I neglected to note down which story, but I do think it was a Heinlein - where one of the characters says something like, "Logic is a fine thing, but I have seen a perfectly logical proof that 2 = 1." Authors are not to be confused with characters, but the line is voiced by one of Heinlein's trustworthy father figures. I find myself worried that Heinlein may have meant it. The classic proof that 2 = 1 runs thus. First, let x = y = 1. Then: x = y x = xy x y = xy - y (x + y)(x - y) = y(x - y) x + y = y Now, you could look at that, and shrug, and say, "Well, logic doesn't always work." Or, if you felt that math had rightfully earned just a bit more credibility than that, over the last thirty thousand years, then you might suspect the flaw lay in your use of math, rather than Math Itself. You might suspect that the proof was not, in fact, "perfectly logical". The novice goes astray and says: "The Art failed me."

82. NTU Info Centre: Real Analysis Real analysis, Abel s theorem, Absolute continuity. Analytic function, BolzanoWeierstrass theorem, Construction of real numbers http://www.nowtryus.net/Category:Real_analysis

Real analysis From Wikipedia, the free encyclopedia. Articles in category "Real analysis" Real analysis Abel's theorem Absolute continuity Analytic function ... Weakly harmonic Categories: Mathematical analysis Calculus Views Article View source Navigation Main Page Help FAQ Search All text is available under the terms of the GNU Free Documentation License About NowTryUs

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86. Real Analysis Bei Priceworld.de Real Analysis. The focus of this modern graduate text in real analysis is to prepare the potential researcher to a rigorous way of thinking in applied http://www.priceworld.de/Real_Analysis.100971738.htm

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