Essentials of Mathematica with applications to mathematics and physics /

Essentials of Mathematica: With Applications to Mathematics and Physics, based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergraduate and graduate students, teaches how to use Mathematica to solve a wide variety problems in mathematics and physics....

Full description

Main Author: Boccara, Nino.
Other Authors: SpringerLink (Online service)
Format: eBook
Language: English
Published: New York : Springer, ©2007.
New York : [2007]
Physical Description: 1 online resource (xxx, 539 pages) : illustrations.
Subjects:
Table of Contents:
  • A panorama of Mathematica
  • Numbers
  • Algebra
  • analysis
  • Lists
  • Graphics
  • Statistics
  • Basic programming
  • 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.