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Essentials of Mathematica: With Applications to Mathematics and Physics
by Nino Boccara
• Publisher: Springer
• Year: 2007
• ISBN: 9780387495132 (Hardcover)
• 539 pp
• Book Includes: CD-ROM
Description
Intended for advanced undergraduate and graduate students, this book teaches how to use Mathematica to solve a wide variety of problems in mathematics and physics. It teaches Mathematica proficiency quickly and easily while assuming no previous exposure to the software, and is illustrated with many detailed examples that require students to construct meticulous, step-by-step, easy-to-read Mathematica programs.

The accompanying CD includes all Mathematica cells and figures that appear in the book. Written in Mathematica 5.2, the programs are also compatible with Mathematica 6.0. Contents
Part 1--Essential Commands
A Panorama of Mathematica | Numbers | Algebra | Analysis | Lists | Graphics | Statistics | Basic Programming
Part 2--Applications
Axially Symmetric Electrostatic Potential | Motion of a Bead on a Rotating Circle | The Brachistochrone | Negative and Complex Bases | Convolution and Laplace Transform | Double Pendulum | Duffing Oscillator | Egyptian Fractions | Electrostatics | Foucault Pendulum | Fractals | Iterated Function Systems | Julia and Mandelbrot Sets | Kepler's Laws | Lindenmayer Systems | Logistic Map | Lorenz Equations | The Morse Potential | Prime Numbers | Public-Key Encryption | Quadratrix of Hippias | Quantum Harmonic Oscillator | Quantum Square Potential | Skydiving | Tautochrone | van der Pol Oscillator | van der Waals Equation | Bidirectional Pedestrian Traffic Related Topics
Applied Mathematics, Graphics, Physics, Programming, Tutorial and Reference