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Essentials of Mathematica: With Applications to Mathematics and Physics

Nino Boccara
Organization: University of Illinois at Chicago
Department: Department of Physics
Book information

Publisher: Springer (New York, NY)
Copyright year: 2007
ISBN: 9780387495132
Medium: Hardcover
Includes: CD-ROM
Pages: 539
Additional cataloguing information: ISBN-10: 0387495134
e-ISBN-10: 0387495142
e-ISBN-13: 9780387495149
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Book cover image

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

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.

*Applied Mathematics
*Science > Physics
*Wolfram Technology
*Wolfram Technology > Programming
*Wolfram Technology > Programming > Graphing and Plotting
*Wolfram Technology > Programming > Packages and Contexts
*Wolfram Technology > Programming > Equation Solving

Mathematica essentials, basic syntax, programming, analysis, lists, graphics, statistics, Plot, plotting, distributions, Collatz, Fourier transform, Random, standard packages, AspectRatio, FontSize, FontSlant, calculus, Mean, Variance, StandardDeviation, oscillators, fractals, pendulums, cryptography, primality, pedestrian traffic