Engineering Mathematics
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....
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• 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 slidesMathematics 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.
PrefacePt. 1Mathematics for Engineering11Indices, standard form and binary numbers32Errors, calculations and evaluation of formulae143Algebra234Simple equations405Simultaneous equations486Transposition of formulae587Quadratic equations658Logarithms and exponential functions749Areas and volumes8610An introduction to trigonometry10911The solution of triangles and their areas11912Cartesian and polar coordinates12913Straight line graphs13314Reduction of non-linear laws to linear form14415Graphs with logarithmic scales15116Graphical solution of equations15817Graphs of exponential, logarithmic and trigonometric functions and polar curves16618Irregular areas and mean values of waveforms17719Introduction to differentiation184Pt. 2Further Mathematics for Engineering20320Methods of differentiation20521Differentiation of parametric equations21522Applications of differentiation22023Introduction to integration23424Areas under and between curves24225Mean and root mean square values25126Volumes of solids of revolution25527Centroids of simple shapes26028Numerical integration26929Solving equations by iterative methods27730Arithmetic and geometric progressions28231The binomial theorem289Pt. 3Additional Mathematics for Engineering29932Solution of first order differential equations by separation of variables30133Introduction to second order differential equations31134A numerical solution of differential equations31635Vectors and phasors32136Scalar and vector products33237Trigonometric ratios, graphs, identities and equations33938Compound angles35939Angular properties of circles371Pt. 4Extended Mathematics for Engineering37940Functions and their curves38141Integration using substitutions39942Integration by parts41743An introduction to complex numbers42244The theory of matrices and determinants43645The solution of simultaneous equations by matrices and determinants445Answers to multi-choice questions454Index455
