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Mathematica in Action

Problem Solving Through Visualization and Computation

  • Stan Wagon

Table of contents

  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. Stan Wagon
    Pages 301-328
  14. Stan Wagon
    Pages 329-362
  15. Stan Wagon
    Pages 363-397
  16. Stan Wagon
    Pages 399-422
  17. Stan Wagon
    Pages 423-429
  18. Stan Wagon
    Pages 431-472
  19. Stan Wagon
    Pages 473-490
  20. Stan Wagon
    Pages 491-504
  21. Stan Wagon
    Pages 505-522
  22. Stan Wagon
    Pages 523-556
  23. Back Matter
    Pages 557-578

About this book

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

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