This directory contains an explanation of the algorithms CLN uses for the computation of transcendental functions. This stuff was presented at the IMACS/ACA 1997 in Hawaii and is published in the ANTS III proceedings. paper/ An updated version of the paper. slides/ The slides used in the IMACS/ACA talk. It is published as Bruno Haible, Thomas Papanikolaou: Fast multiprecision evaluation of series of rational numbers. In: Algorithmic Number Theory, Third International Symposium, ANTS-III, J. P. Buhler ed., Lecture Notes in Computer Science 1423, Springer Verlag (1998).