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Engineering Mathematics » (6th Edition)

Book cover image of Engineering Mathematics by John Bird

Authors: John Bird
ISBN-13: 9780080965628, ISBN-10: 0080965628
Format: Paperback
Publisher: Elsevier Science
Date Published: June 2010
Edition: 6th Edition

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Author Biography: John Bird

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.

Book Synopsis

• 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.

Table of Contents

Preface
Pt. 1Mathematics for Engineering1
1Indices, standard form and binary numbers3
2Errors, calculations and evaluation of formulae14
3Algebra23
4Simple equations40
5Simultaneous equations48
6Transposition of formulae58
7Quadratic equations65
8Logarithms and exponential functions74
9Areas and volumes86
10An introduction to trigonometry109
11The solution of triangles and their areas119
12Cartesian and polar coordinates129
13Straight line graphs133
14Reduction of non-linear laws to linear form144
15Graphs with logarithmic scales151
16Graphical solution of equations158
17Graphs of exponential, logarithmic and trigonometric functions and polar curves166
18Irregular areas and mean values of waveforms177
19Introduction to differentiation184
Pt. 2Further Mathematics for Engineering203
20Methods of differentiation205
21Differentiation of parametric equations215
22Applications of differentiation220
23Introduction to integration234
24Areas under and between curves242
25Mean and root mean square values251
26Volumes of solids of revolution255
27Centroids of simple shapes260
28Numerical integration269
29Solving equations by iterative methods277
30Arithmetic and geometric progressions282
31The binomial theorem289
Pt. 3Additional Mathematics for Engineering299
32Solution of first order differential equations by separation of variables301
33Introduction to second order differential equations311
34A numerical solution of differential equations316
35Vectors and phasors321
36Scalar and vector products332
37Trigonometric ratios, graphs, identities and equations339
38Compound angles359
39Angular properties of circles371
Pt. 4Extended Mathematics for Engineering379
40Functions and their curves381
41Integration using substitutions399
42Integration by parts417
43An introduction to complex numbers422
44The theory of matrices and determinants436
45The solution of simultaneous equations by matrices and determinants445
Answers to multi-choice questions454
Index455

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