# Mathematica in Action

## Problem Solving Through Visualization and Computation

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In this third edition of *Mathematica® in Action*, award-winning author Stan Wagon guides beginner and veteran users alike through *Mathematica's* powerful tools for mathematical exploration. The transition to *Mathematica* 7 is made smooth with plenty of examples and case studies that utilize *Mathematica's* newest tools, such as dynamic manipulations and adaptive three-dimensional plotting. *Mathematica in Action* also emphasizes the breadth of *Mathematica* and the impressive results of combining techniques from different areas. This material enables the reader to use *Mathematica* to solve a variety of complex problems.

Case studies ranging from elementary to sophisticated are provided throughout. 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, an illustration of the Banach—Tarski Paradox via hyperbolic geometry, new and surprising formulas for p, the discovery of shadow orbits for chaotic systems, and the use of powerful new capabilities for three-dimensional graphics. Visualization is emphasized throughout, with finely crafted graphics in each chapter.

Wagon is the author of eleven books on mathematics, including *A Course in Computational Number Theory*, named one of the ten best math books of 2000 by the American Library Association. He has written extensively on the educational applications of *Mathematica*, including the books *VisualDSolve: Visualizing Differential Equations with Mathematica*, and *Animating Calculus: Mathematica Notebooks for the Laboratory*.**From reviews of the second edition:**

"In a dazzling range of examples Stan Wagon shows how such features as animation, 3-dimensional graphics and high-precision integer arithmetic can contribute to our understanding and enjoyment of mathematics."**—Richard Walker, The Mathematical Gazette**

"The bottom line is that

Calc DEX Mathematica Visualization animation arithmetic computation computer computer science design differential equation geometry graphs optimization programming

- DOI https://doi.org/10.1007/978-0-387-75477-2
- Copyright Information Springer-Verlag New York 2010
- Publisher Name Springer, New York, NY
- eBook Packages Mathematics and Statistics
- Print ISBN 978-0-387-75366-9
- Online ISBN 978-0-387-75477-2
- Buy this book on publisher's site

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