Engineering Mathematics / Edition 6

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More About This Textbook

Overview

  • Colour layout helps navigation and highlights key learning points, formulae and exercises
  • Fully up-to-date with Levels 2 and 3 of the BTEC Engineering Specifications
  • Containing 1000 worked problems, 1750 further problems and 238 multiple-choice questions and answers
  • Real-world'situations and engineering examples put the theory into context

John Bird’s approach to mathematics, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the mathematics engineering that students need to master.

This book presents a logical topic progression rather than following the structure of a particular syllabus, and is suitable for all Level 3 vocational students, early Foundation Degree students and for any introductory course involving engineering mathematics. However, the coverage has been carefully matched to the mathematics units within the 2010 Level 2 and 3 BTEC National Specifications.

In this sixth edition there is new material on logarithms, exponential functions, vectors, and methods of alternating waveforms. The book now includes even more problems to work through.

Ideal for use as tests or homework, full solutions to the revision tests are supplied on the accompanying instructor’s website.

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: 9780080965628
  • Publisher: Taylor & Francis, Inc.
  • Publication date: 6/28/2010
  • Edition description: New Edition
  • Edition number: 6
  • Pages: 608
  • Sales rank: 972,873
  • Product dimensions: 8.50 (w) x 10.80 (h) x 1.20 (d)

Meet the Author

John Bird, the author of over 100 textbooks on engineering and mathematical subjects, is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, U.K. More recently, he has combined freelance lecturing at Portsmouth University, with technical writing and Chief Examiner responsibilities for City and Guilds Telecommunication Principles and Mathematics, and examining for the International Baccalaureate Organisation. John Bird is currently a Senior Training Provider at the Royal Naval School of Marine Engineering in the Defence College of Marine and Air Engineering at H.M.S. Sultan, Gosport, Hampshire, U.K. The school, which serves the Royal Navy, is one of Europe’s largest engineering training establishments.

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Table of Contents

Preface
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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