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The papers emphasize general techniques of problem solving and explore the creation of mathematical patterns. Knuth's prize-winning expositions of mathematical notation, his accounts of episodes in the history of mathematics, and his fundamental papers on...

A quantitative study of the efficiency of computer methods requires an in-depth understanding of both mathematics and computer science. This monograph, derived from an advanced computer science course at Stanford University, builds on the fundamentals of combinatorial analysis and complex variable theory to present many of the major paradigms used in the precise analysis of algorithms, emphasizing the more difficult notions. The authors cover recurrence relations, operator methods, and asymptotic analysis in a format that is terse enough for easy reference yet detailed enough for those...