I solve mathematical problems every day, some by hand and some with the computer. I wonder: What will I lose if I start doing the mathematical problems only by computer? I've read this text and the author says that as techonology progress happens, we should change our focus to things that are mo...

In reference to this answer I gave the other day, I came across a very interesting function whose IFT would be nice to evaluate as part of completing the solution to the problem I answered. The function is this: $$\hat{g}(k) = \frac{1}{k^2}\left (1 - 2 \cosh{\left [ k \left (y-\frac12 \right) \...

In stein's Fourier Analysis text i'm attempting to verifying my proof that the $\sum_{n=1}^{\infty}c_{n}$ converges to a finite limit $s$ then the series is Abel hummable to $s$. My initial attempt can be seen in $(1.)$ $(0.)$ A series of complex numbers $\sum_{}^{}c_k$ is said to be Abel Summa...