## A Beginner's Guide To MathematicaBecause of its large command structure and intricate syntax, Mathematica can be difficult to learn. Wolfram's Mathematica manual, while certainly comprehensive, is so large and complex that when trying to learn the software from scratch -- or find answers to specific questions -- one can be quickly overwhelmed. A Beginner's Guide to Mathematica offers a simple, step-by-step approach to help math-savvy newcomers build the skills needed to use the software in practice. Concise and easy to use, this book teaches by example and points out potential pitfalls along the way. The presentation starts with simple problems and discusses multiple solution paths, ranging from basic to elegant, to gradually introduce the Mathematica toolkit. More challenging and eventually cutting-edge problems follow. The authors place high value on notebook and file system organization, cross-platform capabilities, and data reading and writing. The text features an array of error messages you will likely encounter and clearly describes how to deal with those situations. While it is by no means exhaustive, this book offers a non-threatening introduction to Mathematica that will teach you the aspects needed for many practical applications, get you started on performing specific, relatively simple tasks, and enable you to build on this experience and move on to more real-world problems. |

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### Contents

1 | |

Computation examples | 99 |

Graphics examples | 209 |

Ordinary differential equations | 303 |

Transforms | 369 |

Integration | 423 |

Special functions | 451 |

APPENDIX 1 | 497 |

APPENDIX 2 | 599 |

693 | |

695 | |

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### Common terms and phrases

Add-ons & Links amplitude array aspect ratio Axes basic Bessel Bessel functions Built-in Functions circle CMYK ColorFunction components compute constant coordinates create a list define differential equation dimensions Dirac delta function discrete disk display do-loop dot product DSolve elem element ellipsoid error Evaluate example False Fourier transform graphics object graphics primitives GrayLevel Help Browser integral inverse Laplace transform LaplaceTransform@i1@tD linear linear regression list of points ListPlot load the package look loop Mathematica matrix MatrixForm measurement module notebook Notice operator option output palette ParametricPlot3D parity plot command plot parameters PlotPoints PlotRange PlotStyle polynomials Print problem pseudoinverse reader real number roots seed the random shading simple Simplify sinc function solution solve specify Spherical spherical harmonic SphericalRegion substitution rule symbolic syntax Table TrueD users values variable Wolfram Research Ÿ Add-ons z-transform zero