Transfinite electrical networks

This is a tutorial/survey paper that provides an explanation of “transfinite electrical networks.” The theory of such networks has been developing only over the past decade, and undoubtedly much is yet to be discovered. It is quite abstract, and its mathematics is complicated. In this work we try to facilitate an understanding of its main ideas without encumbering comprehension with too much mathematical jargon. Instead, definitions and arguments are heuristically presented, and many examples are given. Transfiniteness for electrical networks is a radical generalization of conventional network theory, which opens up an entirely new area of research. It may be of interest to mathematical circuit theorists but will disappoint those looking for practical applications