Engineering Mathematics / Edition 5

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A practical introduction to the core mathematics required for engineering study and practice

Now in its seventh 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. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. 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, multiple choice tests, full solutions for all 1,800 further questions contained within the practice exercises, and biographical information on the 24 famous mathematicians and engineers referenced throughout the book.

The companion website for this title can be accessed from

Audience: Students following vocational engineering courses / first year undergraduates. Suitable for all Level 3 engineering programmes, and core units at Level 3. Matched to New BTEC National specifications: Mathematics for Technicians; Further Mathematics for Technicians; AVCE: Applied Mathematics for Engineering; Further Mathematics for Engineering.

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Product Details

  • ISBN-13: 9780750685559
  • Publisher: Taylor & Francis
  • Publication date: 10/4/2007
  • Edition description: Older Edition
  • Edition number: 5
  • Pages: 584
  • Product dimensions: 7.60 (w) x 10.30 (h) x 1.30 (d)

Meet the Author

John Bird is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, UK. More recently, he has combined freelance lecturing at the University of Portsmouth, with examiner responsibilities for Advanced Mathematics with City and Guilds, and examining for the International Baccalaureate Organisation. He is the author of over 125 textbooks on engineering and mathematical subjects, with worldwide sales of one million copies. He is currently a Senior Training Provider at the Defence School of Marine Engineering in the Defence College of Technical Training at HMS Sultan, Gosport, Hampshire, UK.

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Table of Contents

Pt. 1 Mathematics for Engineering 1
1 Indices, standard form and binary numbers 3
2 Errors, calculations and evaluation of formulae 14
3 Algebra 23
4 Simple equations 40
5 Simultaneous equations 48
6 Transposition of formulae 58
7 Quadratic equations 65
8 Logarithms and exponential functions 74
9 Areas and volumes 86
10 An introduction to trigonometry 109
11 The solution of triangles and their areas 119
12 Cartesian and polar coordinates 129
13 Straight line graphs 133
14 Reduction of non-linear laws to linear form 144
15 Graphs with logarithmic scales 151
16 Graphical solution of equations 158
17 Graphs of exponential, logarithmic and trigonometric functions and polar curves 166
18 Irregular areas and mean values of waveforms 177
19 Introduction to differentiation 184
Pt. 2 Further Mathematics for Engineering 203
20 Methods of differentiation 205
21 Differentiation of parametric equations 215
22 Applications of differentiation 220
23 Introduction to integration 234
24 Areas under and between curves 242
25 Mean and root mean square values 251
26 Volumes of solids of revolution 255
27 Centroids of simple shapes 260
28 Numerical integration 269
29 Solving equations by iterative methods 277
30 Arithmetic and geometric progressions 282
31 The binomial theorem 289
Pt. 3 Additional Mathematics for Engineering 299
32 Solution of first order differential equations by separation of variables 301
33 Introduction to second order differential equations 311
34 A numerical solution of differential equations 316
35 Vectors and phasors 321
36 Scalar and vector products 332
37 Trigonometric ratios, graphs, identities and equations 339
38 Compound angles 359
39 Angular properties of circles 371
Pt. 4 Extended Mathematics for Engineering 379
40 Functions and their curves 381
41 Integration using substitutions 399
42 Integration by parts 417
43 An introduction to complex numbers 422
44 The theory of matrices and determinants 436
45 The solution of simultaneous equations by matrices and determinants 445
Answers to multi-choice questions 454
Index 455
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