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 12h suggested rejected edit on Prime number theory. 1d revised Prove that the product of two invertible matrices also invertible added latex 1d awarded Organizer 1d suggested approved edit on Prove that the product of two invertible matrices also invertible 1d revised The area of trapezium is given by $A=(a^2-x^2)(x+a)$. Find x for the area to be a maximum and find A max. fixed latex, also this is not abstract algebra. 1d suggested approved edit on The area of trapezium is given by $A=(a^2-x^2)(x+a)$. Find x for the area to be a maximum and find A max. 1d revised Proving a pseudo prime fixed latex. 1d suggested approved edit on Proving a pseudo prime 2d comment How to derive this identity: $\lim _{x\to \infty} (1 + f(x))^{\frac{1}{g(x)}} = \mathrm e^{\lim_{x \to \infty} \frac{f(x)}{g(x)}}$ If $f(x)=1$ and $g(x)=1$ then the LHS goes to $2$ and the RHS goes to $e$... I don't think this is true in general. 2d comment Necessity of Differential Forms Not entirely an answer to your question (it doesn't answer the importance in analysis) but for a more intuitive explanation, Tao gives an introduction to differential forms here: math.ucla.edu/~tao/preprints/forms.pdf and argues the algebraic laws of the differential forms derive from a roughly speaking more intuitive, what I would describe as: "infinitesimal geometry". Apr 26 asked How is the Alexander polynomial computed from the Alexander quandle? Apr 22 comment f(x) is a function such that $\lim_{x\to0} f(x)/x=1$ You really shouldn't assume $f(x)$ is $\sin(x)$ because you have not shown that $a$ and $b$ are unique and irrespective of $f(x)$. Apr 22 revised f(x) is a function such that $\lim_{x\to0} f(x)/x=1$ Improved latex. Apr 22 suggested approved edit on f(x) is a function such that $\lim_{x\to0} f(x)/x=1$ Apr 11 revised How to prove $|x-y|\le \delta\lor |x^2-y^2|\gt \epsilon$ with the following condition? Uses more standard epsilon and delta as opposed to e and d. Apr 11 suggested approved edit on How to prove $|x-y|\le \delta\lor |x^2-y^2|\gt \epsilon$ with the following condition? Apr 10 revised Solve the PDE $\frac{\partial u}{\partial t}+\frac{\partial u}{\partial x}=x$ using Laplace transform in $t$ added latex. Apr 10 suggested approved edit on Solve the PDE $\frac{\partial u}{\partial t}+\frac{\partial u}{\partial x}=x$ using Laplace transform in $t$ Mar 22 revised Finding the value of a trigonometric function given the value of $\tan(\alpha)\tan(\beta)$ Converted stuff to latex. Mar 22 suggested approved edit on Finding the value of a trigonometric function given the value of $\tan(\alpha)\tan(\beta)$