## Mathematica by ExampleThis third edition of Mathematica by Example is completely compatible with recent Mathematica versions. Highly readable and informative, this volume is geared toward the beginning Mathematica user, and focuses on the most often used features of this powerful tool. The book covers popular applications of mathematics within different areas including calculus, linear algebra, ordinary differential equations, and partial differential equations.* Fully compatible with recent releases of Mathematica * Includes CD-ROM containing all input used in text * Focuses on the beginning Mathematica user * Covers all the basics needed to get up and running with Mathematica, especially for use in mathematics * Written by authors of several successful AP books on Mathematica |

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### Contents

1 | |

23 | |

Chapter 3 Calculus | 97 |

Chapter 4 Introduction to Lists and Tables | 229 |

Chapter 5 Matrices and Vectors | 327 |

Chapter 6 Applications Related to Ordinary and Partial Differential Equations | 429 |

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annuity antiderivative approximation AspectRatio Automatic AxesLabel BoxRatios calculate capa coefficients column command compute ContourPlot ContourShading corresponding homogeneous equation Cos2 Cos3 Cos4 cosx differential equation displayed DisplayFunction Identity DSolve DSolveyt eigenvalues eigenvectors element entering equally spaced values error messages evaluate False FindRoot Fourier series function given Gram–Schmidt process graph graphics GraphicsArray GrayLevel 0.3 improper integral interval inverse Klein bottle Laplace transform LaplaceTransformxt level curves linearly independent ListPlot Mandelbrot set Mathematica matrix MatrixForm name the resulting nullspace number of units numsol obtained option output package Parametric parametric equations ParametricPlot partial sums particular solution Plot PlotPoints PlotRange PlotStyle polynomial real number returns row echelon form Second Derivative Test series converges Simplify Sin2 Sin3 Sin4 Sint sinx solution of equation Solve surface Table tangent tanx Theorem tion toplot torus variables vector