Authors: John Bird
ISBN-13: 9780080965628, ISBN-10: 0080965628
Format: Paperback
Publisher: Elsevier Science
Date Published: June 2010
Edition: 6th Edition
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.
• Updated for the 2010 BTEC Nationals in Engineering syllabus
• This book contains thousands of worked examples and revision tests
• Supported with online tutor support materials, including an instructors guide and editable PowerPoint Presentation slides
Mathematics is a key element in determining success for the Edexcel BTEC National Engineering courses. Updated for the 2010 BTEC Nationals in Engineering syllabus, Engineering Mathematics, 6e by John Bird covers the main elements of mathematics in the core, mechanical and Electrical/ Electronic Units. There are currently over 13,000 BTEC National Engineering students in the UK.
Theory is introduced in each chapter by a simple outline of essential definitions, formulae, laws and procedures. This new, sixth edition will also be supported with online tutor support materials. These include an Instructors Guide which will give full solutions and marking schemes for each of the Revision Tests contained in the text.
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 |