Mathematica in ActionSpringer 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. |
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 |
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
AbsoluteThickness approximations ArcTan AspectRatio Automatic Bézier curve Cantor set chapter circle color plate computation continued fraction contour plot convergence cycloid define differential equation digits DisplayFunction divisors Epilog Escher EscherTiling Euclidean algorithm Evaluate example False Fibonacci Figure FindRoot fixed point Flatten formula fraction Frame FrameTicks function Gaussian integers Gaussian primes graph GrayLevel GridBox Identity interpolating iterations Julia set Kempe chain Kempe's Line linear ListPlot Mathematica mathematics matrix method Module motif NDSolve Nest NestList option orbit output package pair parameter ParametricPlot planar planar graph plane PlotPoints PlotRange polygon polynomial PowerMod Pratt certificate PrimeQ pseudoprime quadratic map random Range result Riemann hypothesis root rotation routine sequence Show Graphics Sierpiński triangle simple solution Solve space-filling curve square starting value surface theorem tile Transpose triangle True variable vertex vertices yields zeros
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