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Basic Numerical Methods and FreeMat Ohio (基本数值方法和FreeMat俄亥俄州)
Basic Numerical Methods and FreeMat By Timothy Cyders and Gary Schaefer “Essentially, all models are wrong, but some are useful.” - George Box “We demand guaranteed, rigidly-defined areas of doubt and uncertainty.” - Douglas Adams About This Document In a nutshell, • Students are poor. Commercial software packages such as MATLAB are expensive. FreeMat is free, as in freedom, and as in beer. • Students are poor. Engineering/Mathematics texts are expensive. This document is free as in freedom, and as in beer. A lot of basic ideas put forth in most Engineering/Mathematics texts are rather old, and are generally common knowledge, at least to the educated. Especially with respect to explanations of commercial software packages such as MATLAB, and introductions/explanations of numerical methods, texts tend to under-explain and overcharge. My personal experience with college texts has been that the ones where explanation would have greatly augmented learning lacked such explanation, but certainly didnt hold back on cost. This text is a response to that phenomenon. This is a basic introduction to numerical methods, showing how the commonly used methods work by some simple examples. Also, its a bit of an introduction to the language of FreeMat, which is easily interchangeable with commercial packages such as MATLAB, or is at the least readable pseudo-code for examples to use in other languages (such as C++ or FORTRAN). Probably the most significant aspect of this document is that it is free (as in freedom). If there are pictures, asides, explanations or examples that can make learning better, you can add them and republish the document (citing the original work, obviously)! There are certain things that this text is and isnt. This text is a basic introduction. It is by no means a full-on graduate-level text on the in
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