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* Plenty of examples and case studies utilize Mathematica 7's newest tools, such as dynamic manipulations and adaptive three-dimensional plotting. * Emphasizes the breadth of Mathematica and the impressive results of combining techniques from different areas. * Whenever possible, the book shows how Mathematica can be used to discover new things. Striking examples include the design of a road on which a square wheel bike can ride, the design of a drill that can drill square holes, and new and surprising formulas for p. * Visualization is emphasized throughout, with finely crafted graphics in each chapter.