Predictions for Scientific Computing Fifty Years from Now by Trefethen, L

“…This essay is adapted from a talk given June 17, 1998 at the conference "Numerical Analysis and Computers - 50 Years of Progress" held at the University of Manchester, England in commemoration of the 50th anniversary of the Mark 1 computer. …”

Ramsey theory by Bazzi, M

“…Loosely speaking, Ramsey theory can be described as the study of structure which is preserved under partitions – an idea succinctly captured by the statement “complete disorder is impossible” [6, 10]. In this essay we explore Ramsey’s theorems, some of the core results underpinning Ramsey theory and dealing with invariant substructures under finite set partitioning. …”

Numerical Analysis by Trefethen, L

“…Acknowledgements: This article will appear in the forthcoming Princeton Companion to Mathematics, edited by Timothy Gowers with June Barrow-Green, to be published by Princeton University Press. In preparing this essay I have benefitted from the advice of many colleagues who corrected a number of errors of fact and emphasis. …”