## Essentials of Mathematica: With Applications to Mathematics and PhysicsEssential 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 undergrad and graduate students, teaches how to use Mathematica to solve a wide variety problems in mathematics and physics. It is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy to read Mathematica programs. The first section, in which the reader learns how to use a variety of Mathematica commands, avoids long discussions and overly sophisticated techniques. Its aim is to provide the reader with Mathematica proficiency quickly and efficiently. The second section covers a broad range of applications in physics, engineering and applied mathematics, including Egyptian Fractions, Happy Numbers, Mersenne Numbers, Multibases, Quantum Harmonic Oscillator, Quantum Square Potential, Van der Pol Oscillator, Electrostatics, Motion of a Charged Particle in an Electromagnetic Field, Duffing Oscillator, Negative and Complex Bases, Tautochrone Curves, Kepler’s Laws, Foucault’s Pendulum, Iterated Function Systems, Public-Key Encryption, and Julia and Mandelbrot Sets. The first part - examples, not long explanations. The second part-attractive applications. |

### What people are saying - Write a review

### Contents

A Panorama of Mathematica | 5 |

Numbers | 55 |

Algebra 77 | 76 |

Analysis | 103 |

Lists | 151 |

Finding Grouping and Counting Elements | 162 |

Graphics | 173 |

Statistics | 219 |

The Brachistochrone | 285 |

Convolution and Laplace Transform | 301 |

Dufﬁng Oscillator 311 | 310 |

Egyptian Fractions | 321 |

Electrostatics | 327 |

van der Waals Equation | 509 |

Bidirectional Pedestrian Traffic 519 | 518 |

References | 529 |

### Other editions - View all

Essentials of Mathematica: With Applications to Mathematics and Physics Nino Boccara Limited preview - 2007 |

Essentials of Mathematica: With Applications to Mathematics and Physics Nino Boccara No preview available - 2014 |