="James Propp" <jamespropp@gmail.com>
Can anyone provide a favorite web-reference?
For my upcoming Mathematical Enchantments column, I composed a proof that 1 - 1/2 + 1/3 - 1/4 + ... is both positive and zero, but it really doesn't fit into the (already over-long) article, so I'd like to outsource the job of showing "You can get nonsensical results by rearranging conditionally convergent series" to some website that already exists.
Best wishes on your citation hunt--I'll look forward to your article! However you might want to consider the risk of prejudicing your less-sophisticated readers with pejoratives like "nonsensical". For instance 1+2+4+8+16+32+... is arguably both plus infinity and minus one. Virtually all modern computing device architectures rely on such "nonsense". There's fragile nuance in what exactly we mean by "...".