# Engineering Mathematics

Taylor & Francis, Jul 14, 2017 - Mathematics - 726 pages
3 Reviews
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Now 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

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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 Answers to multiple choice questions 704 Index 705 Copyright