Mathematica in action : problem solving through visualization and computation

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書誌事項

Mathematica in action : problem solving through visualization and computation

Stan Wagon

Springer, c2010

3rd ed

  • : pbk

大学図書館所蔵 件 / 全13件

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注記

Includes bibliographical references (p. [557]-565) and indexes

内容説明・目次

内容説明

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.

目次

Preface.- A Brief Introduction.- Plotting.- Prime Numbers.- Rolling Wheels.- Surfaces.- Dynamic Manipulation.- The Cantor Set, Real and Complex.- The Quadratic Map.- The Recursive Turtle.- Parametric Plotting of Surfaces.- Penrose Tiles.- Complex Dynamics (by Mark McClure).- Solving Equations.- Optimization.- Differential Equations.- Computational Geometry.- Check Digits and the Pentagon.- Coloring Planar Maps.- New Directions for pi.- The Banach-Tarski Paradox.- The Riemman Zeta Function.- Miscellany.- References.- Index

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