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comment Differential geometry
How about writing a more descriptive title?
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Oct
26
asked Applications of iterated sinusoidal functions?
Oct
26
comment Why it is absolutely mistaken to cancel out differentials?
This isn't an answer so much as a statement of a lack of knowledge about two things: (1) how calculus was done ca. 1680-1890, and (2) the existence of NSA. A nice freshman-level presentation of NSA is available online for free in Keisler's book: math.wisc.edu/~keisler/calc.html
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Jul
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comment Notation of the differential operator
related: tex.stackexchange.com/questions/14821/…
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Jul
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comment Why can we treat infinitesimals as real numbers in integration by substitution?
So, my question is if anyone can elaborate on exactly why it is logically rigorous to treat infinitesimals as real numbers There is nothing necessarily non-rigorous about infinitesimals. The most common way of making them rigorous is through non-standard analysis (NSA). In NSA, infinitesimals obey all the same elementary axioms of arithmetic that the real numbers obey.
Jul
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comment Why can we treat infinitesimals as real numbers in integration by substitution?
possible duplicate of What is $dx$ in integration?
Jun
30
comment What is it called when you have two systems of measurement and each scale has two different numbers that can represent the same thing?
This isn't about history. It would be more appropriate for math.SE.
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