Does 1 + 2 +3 +4+… = -1/12? Is .999… =1? Some Skeptical, Cranky Mad-emathical Meditations (English Edition)

It is discussed whether 1+2+ 3+... =-1/12, as supposed by advanced mathematics, and whether .999... =1. Contrary to received mathematical opinion, it is argued that the former claim is inconsistent (even within the zeta function framework), and that .999... is not equal to 1, irrespective of non-standard analysis. There is something here for every crank and heretic, so enjoy!