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This text provides a very simple, initial introduction to the complete scientific§computing pipeline: models, discretization, algorithms, programming,§verification, and§visualization. The pedagogical strategy is to use one case study - an ordinary§differential equation describing exponential decay processes - to illustrate fundamental§concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and§some very basic knowledge about computer programming. Contrary to similar texts§on numerical methods and programming, this text has a much stronger focus on§implementation and teaches testing and software engineering in particular.§