## Engineering MathematicsNow in its eighth edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams. John Bird's approach is based on worked examples and interactive problems. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of Level 2 and 3 engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae and multiple choice tests. |

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great book for mathematics

This is a very good book, worked examples are very helpful.

### Contents

Chapter 1 Revision of fractions decimals and percentages | 3 |

Chapter 2 Indices standard form and engineering notation | 11 |

Chapter 3 Binary octal and hexadecimal numbers | 27 |

Chapter 4 Calculations and evaluation of formulae | 37 |

Chapter 5 Algebra | 49 |

Chapter 6 Further algebra | 60 |

Chapter 7 Partial fractions | 67 |

Chapter 8 Solving simple equations | 74 |

Section 7 Statistics | 379 |

Chapter 37 Presentation of statistical data | 381 |

Chapter 38 Mean median mode and standard deviation | 393 |

Chapter 39 Probability | 400 |

Chapter 40 The binomial and Poisson distribution | 410 |

Chapter 41 The normal distribution | 417 |

Chapter 42 Linear correlation | 427 |

Chapter 43 Linear regression | 432 |

Chapter 9 Transposition of formulae | 83 |

Chapter 10 Solving simultaneous equations | 90 |

Chapter 11 Solving quadratic equations | 100 |

Chapter 12 Inequalities | 109 |

Chapter 13 Logarithms | 115 |

Chapter 14 Exponential functions | 124 |

Chapter 15 Number sequences | 136 |

Chapter 16 The binomial series | 145 |

Chapter 17 Solving equations by iterative methods | 154 |

Section 2 Areas and volumes | 163 |

Chapter 18 Areas of common shapes | 165 |

Chapter 19 The circle and its properties | 174 |

Chapter 20 Volumes and surface areas of common solids | 182 |

Chapter 21 Irregular areas and volumes and mean values of waveforms | 199 |

Section 3 Trigonometry | 211 |

Chapter 22 Introduction to trigonometry | 213 |

Chapter 23 Trigonometric waveforms | 226 |

Chapter 24 Cartesian and polar coordinates | 238 |

Chapter 25 Triangles and some practical applications | 244 |

Chapter 26 Trigonometric identities and equations | 254 |

Chapter 27 Compound angles | 261 |

Section 4 Graphs | 277 |

Chapter 28 Straight line graphs | 279 |

Chapter 29 Reduction of nonlinear laws to linear form | 292 |

Chapter 30 Graphs with logarithmic scales | 301 |

Chapter 31 Graphical solution of equations | 309 |

Chapter 32 Functions and their curves | 317 |

Section 5 Complex numbers | 331 |

Chapter 33 Complex numbers | 333 |

Chapter 34 De Moivres theorem | 346 |

Section 6 Vectors | 351 |

Chapter 35 Vectors | 353 |

Chapter 36 Methods of adding alternating waveforms | 367 |

Chapter 44 Sampling and estimation theories | 438 |

Section 8 Differential calculus | 457 |

Chapter 45 Introduction to differentiation | 459 |

Chapter 46 Methods of differentiation | 469 |

Chapter 47 Some applications of differentiation | 478 |

Chapter 48 Maclaurins series | 494 |

Chapter 49 Differentiation of parametric equations | 501 |

Chapter 50 Differentiation of implicit functions | 507 |

Chapter 51 Logarithmic differentiation | 512 |

Section 9 Integral calculus | 519 |

Chapter 52 Standard integration | 521 |

Chapter 53 Integration using algebraic substitutions | 528 |

Chapter 54 Integration using trigonometric substitutions | 533 |

Chapter 55 Integration using partial fractions | 541 |

Chapter 56 The t tan θ 2 substitution | 546 |

Chapter 57 Integration by parts | 551 |

Chapter 58 Numerical integration | 557 |

Chapter 59 Areas under and between curves | 566 |

Chapter 60 Mean and root mean square values | 575 |

Chapter 61 Volumes of solids of revolution | 580 |

Chapter 62 Centroids of simple shapes | 585 |

Chapter 63 Second moments of area | 594 |

Section 10 Differential equations | 603 |

Chapter 64 Introduction to differential equations | 605 |

Section 11 Further number and algebra | 615 |

Chapter 65 Boolean algebra and logic circuits | 617 |

Chapter 66 The theory of matrices and determinants | 636 |

Chapter 67 The solution of simultaneous equations by matrices and determinants | 646 |

List of essential formulae | 661 |

Answers to Practice Exercises | 672 |

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