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Computers are one of the most important tools available to physicists, whether for calculating and displaying results, simulating experiments, or solving complex systems of equations. This textbook shows students how to use computers to solve mathematical problems in physics and teaches them about choosing different numerical approaches. The book relies solely on free software using Linux as the operating system. This up-to-date, broad scope textbook is suitable for undergraduates starting on computational physics courses. It includes exercises, examples of programs and online resources at www.cambridge.org/0521828627.