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Mathematica has a collection of commands that do unconstrained optimization (FindMinimum and FindMaximum) and solve nonlinear equations (FindRoot) and nonlinear fitting problems (FindFit). All these functions work, in general, by doing a search, starting at some initial values and taking steps that decrease (or for FindMaximum, increase) an objective or merit function.
Drawn from the in-product documentation of Mathematica, the 23-title Tutorial Collection gives users targeted instruction on the functions, capabilities, and unified architecture of the Mathematica system. The Collection discontinued printing as of January 2012, but the Mathematica 7 edition of each title remains available for download as a PDF.
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