Mathematica in Action

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Springer Science & Business Media, 1999 - 592 Seiten
"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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Inhalt

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
311
PublicKey Encryption
313
Egyptian Fractions
319
The Ancient and Modern Euclidean Algorithm
329
Imaginary Primes and Prime Imaginaries
359
Certifying Primality
383
Check Digits and the Pentagon
407
Advanced Projects
415

The Quadratic Map
139
The Recursive Turtle
167
Parametric Plotting of Surfaces
187
Penrose Tiles
215
Fractals Ferns and Julia Sets
225
Numerical Mathematics
251
Custom Curves
253
Solving Equations
275
Differential Equations
291
New Directions for 𝛑
417
Rearrangement of Series
443
Eschers Patterns
453
Computational Geometry
483
Coloring Planar Maps and Graphs
505
The Riemann Zeta Function
537
The BanachTarski Paradox
553
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