Mathematica in Action

Front Cover
Springer Science & Business Media, 1999 - Computers - 592 pages
"Mathematica in Action, 2nd Edition," is designed both as a guide to the extraordinary capabilities of Mathematica as well as a detailed tour of modern mathematics by one of its leading expositors, Stan Wagon. Ideal for teachers, researchers, mathematica enthusiasts. This second edition of the highly sucessful W.H. Freeman version includes an 8 page full color insert and 50% new material all organized around Elementary Topics, Intermediate Applications, and Advanced Projects. In addition, the book uses Mathematica 3.0 throughtout. Mathematica 3.0 notebooks with all the programs and examples discussed in the book are available on the TELOS web site (www.telospub.com). These notebooks contain materials suitable for DOS, Windows, Macintosh and Unix computers. Stan Wagon is well-known in the mathematics (and Mathematica) community as Associate Editor of the "American Mathematical Monthly," a columnist for the "Mathematical Intelligencer" and "Mathematica in Education and Research," author of "The Banach-Tarski Paradox" and "Unsolved Problems in Elementary Geometry and Number Theory (with Victor Klee), as well as winner of the 1987 Lester R. Ford Award for Expository Writing.
 

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Contents

A Brief Introduction
1
Basic Concepts
19
Plotting
21
Prime Numbers
47
Rolling Circles
75
Surfaces
103
Graphics Issues and Applications
127
The Cantor Set Real and Complex
129
Number Theory
313
PublicKey Encryption
315
Egyptian Fractions
321
The Ancient and Modern Euclidean Algorithm
331
Imaginary Primes and Prime Imaginaries
361
Certifying Primality
385
Check Digits and the Pentagon
409
Advanced Projects
417

The Quadratic Map
139
The Recursive Turtle
167
Parametric Plotting of Surfaces
187
Penrose Tiles
215
Fractals Ferns and Julia Sets
225
Numerical Mathematics
254
Custom Curves
255
Solving Equations
277
Differential Equations
293
New Directions for 𝛑
419
Rearrangement of Series
445
Eschers Patterns
455
Computational Geometry
485
Coloring Planar Maps and Graphs
507
The Riemann Zeta Function
539
The BanachTarski Paradox
555
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