Mathematica in Action

Mathematica (R) 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 through stunning animations; - 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.