## Engineering mathematics: programs and problemsKeeping pace with individual needs and curriculum changes, the new edition of this book once again offers the most complete and accessible reference to the key mathematical techniques used by practicing engineers. The book offers a complete introduction for a review course or a self-paced tutorial suited for a full year's instruction. The 28 programs lead users through the calculations via worked examples--with self-checks along the way. |

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### Contents

The symbol j powers of j complex numbers | 6 |

Equal complex numbers | 14 |

Graphical addition of complex numbers | 20 |

Exponential form of a complex number | 27 |

Further problems I | 33 |

Introduction | 73 |

Evaluation of hyperbolic functions | 83 |

Hyperbolic identities | 91 |

Test exercise XI | 340 |

Sequences and series | 402 |

Series of powers of natural numbers | 409 |

Tests for convergence absolute convergence | 419 |

Standard series | 434 |

Limiting values | 440 |

Test exercise XIV | 450 |

Test exercise XVI | 514 |

Further problems III | 98 |

Determinants of the third order | 109 |

Consistency of a set of equations | 126 |

Matrices | 141 |

Scalar and vector quantities | 189 |

Components of a given vector | 195 |

Vectors in space | 202 |

Angle between two vectors | 211 |

Differentiation | 219 |

Equation of a straight line | 243 |

Inverse trigonometrical functions | 274 |

Differential coefficients of inverse hyperbolic functions | 283 |

Test exercise IX | 294 |

Rates of change problems | 332 |

Parametric equations | 542 |

s values | 549 |

Introduction | 555 |

Moments of inertia | 581 |

Parallel axes theorem | 589 |

Useful standard results | 595 |

Composite figures | 602 |

Introduction | 615 |

by series | 621 |

Polar Coordinates System | 637 |

Summation in two directions | 663 |

Applications | 670 |

A ltemative notation | 687 |

Copyright | |