## Handbook of MathematicsThis guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications. In the newer editions emphasis was laid on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistic. |

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### Contents

1 | |

2 | |

curves 77 | 77 |

Elementary mathematics | 86 |

coefficients 94 | 94 |

61 | 182 |

75 | 188 |

Analysis | 215 |

95 | 632 |

Linear optimization | 636 |

99 | 673 |

126 | 711 |

153 | 729 |

Analysis | 741 |

Mathematical methods of operational research | 857 |

to the use of machines 910 | 910 |

16 | 221 |

derivatives 242 3 Theorems on differentiable functions 243 4 Monotonic and convex | 248 |

2 | 305 |

85 | 489 |

497 | 497 |

94 | 500 |

Probability theory and mathematical statistics | 598 |

local limit theorem 618 2 2 The integral limit theorem 618 3 The central limit theorem | 619 |

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### Common terms and phrases

algebraic angle arbitrary arccos arcosh arcsin arctan arithmetical expressions asymptote ax dx axis bounded calculated called Cartesian coordinate system Cartesian coordinates circle coefficients complex numbers constant continuously differentiable convergent coordinate system corresponding cosh curve defined denoted derivative determined differential equation distribution domain of definition dx dy eigenvalues elements equivalent Example exists exponential function extremum finite formula function f given graph Hence hyperbolic improper integral intersection interval inverse inverse function lim f(x line integral linear linearly independent mapping matrix monotonic increasing n-tuples natural numbers neighbourhood normal form obtains optimal parameter plane point of inflection polar coordinates polynomial positive power series problem quadratic radius random variable rational function real numbers sequence simplex simplex algorithm sinh surface surface integral tableau tangent theorem transformation triangle vector space vertex x-axis y-axis zero