2 papers
math.GM2011
Banishing divergence Part 2: Limits of oscillatory sequences, and applications
David Alan Paterson
Sequences diverge either because they head off to infinity or because they oscillate. Part 1 \cite{Part1} of this paper laid the pure mathematics groundwork by defining Archimedean…
math.GM2011
Banishing divergence Part 1: Infinite numbers as the limit of sequences of real numbers
David Alan Paterson
Sequences diverge either because they head off to infinity or because they oscillate. Part 1 constructs a non-Archimedean framework of infinite numbers that is large enough to cont…