Web Reference: This notebook contains an excerpt from the Python Programming and Numerical Methods - A Guide for Engineers and Scientists, the content is also available at Berkeley Python Numerical Methods. This book addresses the design and analysis of methods for computing numerical values for solutions to mathematical problems. Often, only accurate approximations are possible rather than exact solutions, so a key mathematical goal is to assess the accuracy of such approximations. Scientific Python and Numpy provide access to a large number of other numerical algorithms including function interpolation, Fourier transforms, optimisation, special functions (such as Bessel functions), signal processing and filters, random number generation, and more.
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