Background and history. What is complexity? ; dynamics, chaos, and prediction ; Information ; Computation ; Evolution ; Genetics, simplified ; Defining and measuring complexity -- Life and evolution in computers. Self-reproducing computer programs ; Genetic algorithms -- Computation writ large. Cellular automata, life, and the universe ; Computing with particles ; Information processing in living systems ; How to make analogies (if you are a computer) ; Prospects of computer modeling -- Network thinking. The science of networks ; Applying network science to real-world networks ; The mystery of scaling ; Evolution, complexified -- Conclusion. The past and future of the sciences of complexity.