Mathematica in Action , 2/e

"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.

TABLE OF CONTENTS

"Mathematica in Action" leads the reader on a guided tour of: high-precision number theory, including many aspects of the prime numbers such as prime certificates, the Madelung constant, the Riemann Hypothesis, and public key encryption; innovative treatment of topics from calculus and dfferential equations including cycloids, brachistochrones and trochoids brought to life thrugh stunning animatins; fractals and chaos theory including complex Cantor sets, Iterated Function Systems, Julia sets, and fractalized tetrahedrons; Algorithms of number theory: the ancient and modern Euclidean algorithms, the Chinese Remainder Theorem, continued fractions, Egyptian fractions, Gaussian primes, sum of two squares problems, Eisenstein primes; dozens of miscellaneous topics including space filling curves, Peano curves, turtle geometry, map coloring a torus, the Art gallery theorem, Penrose tiles, algebraic numbers, and symbolic algebra.