Engineering Mathematics / Edition 3

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Overview

Engineering Mathematics is a comprehensive pre-degree maths text for vocational courses and foundation modules at degree level. John Bird's approach, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities, and can be worked through at the student's own pace. Theory is kept to a minimum, placing a firm emphasis on problem-solving skills, and making this a thoroughly practical introduction to the core mathematics needed for engineering studies and practice.

The third edition has been reorganised to present a logical topic progression through the book rather than following the structure of a particular syllabus. The coverage has been carefully matched to recent course specifications including AVCE and the new BTEC National.

Includes: 850 worked examples, 1500 problems (answers provided), 226 multiple choice questions, and 15 assessment papers.

Free Tutor Support Material including full worked solutions to the assignments featured in the book is available at http://www.bh.com/manuals/0750649909/. Material only available to lecturers who have adopted the text as an essential purchase. In order to obtain your password to access the material please e-mail jo.coleman@repp.co.uk with the following details: course title, number of students, your job title and work address.

Comprehensive coverage for introductory degree courses John Bird's 'learning by example' technique is a thoroughly practical way of gaining knowledge and understanding.

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Product Details

  • ISBN-13: 9780750649902
  • Publisher: Taylor & Francis
  • Publication date: 7/23/2001
  • Edition description: 3RD
  • Edition number: 3
  • Pages: 493
  • Product dimensions: 7.47 (w) x 9.58 (h) x 1.17 (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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