# Mathematica in Action

## Problem Solving Through Visualization and Computation

• Stan Wagon
Textbook

1. Front Matter
Pages i-xi
2. Stan Wagon
Pages 1-22
3. Stan Wagon
Pages 23-52
4. Stan Wagon
Pages 53-76
5. Stan Wagon
Pages 77-111
6. Stan Wagon
Pages 113-140
7. Stan Wagon
Pages 141-167
8. Stan Wagon
Pages 169-178
9. Stan Wagon
Pages 179-208
10. Stan Wagon
Pages 209-234
11. Stan Wagon
Pages 235-265
12. Stan Wagon
Pages 267-275
13. Mark McClure
Pages 277-300
14. Stan Wagon
Pages 301-328
15. Stan Wagon
Pages 329-362
16. Stan Wagon
Pages 363-397
17. Stan Wagon
Pages 399-422
18. Stan Wagon
Pages 423-429
19. Stan Wagon
Pages 431-472
20. Stan Wagon
Pages 473-490
21. Stan Wagon
Pages 491-504
22. Stan Wagon
Pages 505-522
23. Stan Wagon
Pages 523-556
24. Back Matter
Pages 557-578

### Introduction

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 Mathematica in Action is an outstanding book containing many examples of real uses of Mathematica for the novice, intermediate, and expert user."
—Mark McClure, Mathematica in Education and Research

### Keywords

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

### Editors and affiliations

• Stan Wagon
• 1
1. 1.Department of Mathematics and Computer ScienceMacalester CollegeSt. PaulUSA

Industry Sectors