## Math Refresher for Scientists and EngineersExpanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals "Math Refresher for Scientists and Engineers, Third Edition" is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed to perform their jobs and advance their careers. The book focuses on practical applications and exercises that readers are likely to face in their professional environments. All the basic math skills needed to manage contemporary technology problems are addressed and presented in a clear, lucid style that readers familiar with previous editions have come to appreciate and value. The book begins with basic concepts in college algebra and trigonometry, and then moves on to explore more advanced concepts in calculus, linear algebra (including matrices), differential equations, probability, and statistics. This Third Edition has been greatly expanded to reflect the needs of today's professionals. New material includes: A chapter on integral equations A chapter on calculus of variations A chapter on tensor analysis A section on time series A section on partial fractions Many new exercises and solutions Collectively, the chapters teach most of the basic math skills needed by scientists and engineers. The wide range of topics covered in one title is unique. All chapters provide a review of important principles and methods. Examples, exercises, and applications are used liberally throughout to engage the readers and assist them in applying their new math skills to actual problems. Solutions to exercises are provided in an appendix. Whether to brush up on professional skills or prepare for exams, readers will find this self-study guide enables them to quickly master the math they need. It can additionally be used as a textbook for advanced-level undergraduates in physics and engineering. |

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### Contents

1 | |

2 GEOMETRY TRIGONOMETRY AND HYPERBOLIC FUNCTIONS | 21 |

3 ANALYTIC GEOMETRY | 41 |

4 LINEAR ALGEBRA I | 51 |

5 LINEAR ALGEBRA II | 65 |

6 DIFFERENTIAL CALCULUS | 79 |

7 PARTIAL DERIVATIVES | 93 |

8 INTEGRAL CALCULUS | 107 |

12 PARTIAL DIFFERENTIAL EQUATIONS | 167 |

13 INTEGRAL EQUATIONS | 181 |

14 CALCULUS OF VARIATIONS | 191 |

15 TENSOR ANALYSIS | 203 |

16 PROBABILITY | 219 |

17 PROBABILITY DISTRIBUTIONS | 229 |

18 STATISTICS | 245 |

19 SOLUTIONS TO EXERCISES | 257 |

9 SPECIAL INTEGRALS | 117 |

10 ORDINARY DIFFERENTIAL EQUATIONS | 133 |

11 ODE SOLUTION TECHNIQUES | 151 |

339 | |

343 | |