Basic Engineering Mathematics (4E) by John Bird
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Basic Engineering Mathematics (4E) written by
John Bird , BSc(Hons), CMath, CEng, FIMA, MIEE, FIIE(Elec), FCollP.
Basic Engineering Mathematics, 4th edition introduces and then consolidates basic mathematical principles and promotes awareness of mathematical concepts for students needing a broad base for further vocational studies. In this third edition, new material has been added on the introduction to differential and integral calculus.
The text covers:
(i) the Applied Mathematics content of the GNVQ mandatory unit ‘Applied Science and Mathematics for Engineering’ at Intermediate level (i.e. GNVQ 2)
(ii) the mandatory ‘Mathematics for Engineering’ at Advanced level (i.e. GNVQ 3) in Engineering
(iii) the optional ‘Applied Mathematics for Engineering’ at Advanced level (i.e. GNVQ 3) in Engineering
(iv) the Mathematics content of ‘Applied Science and Mathematics for Technicians’ for Edexcel/BTEC First Certificate
(v) the mandatory ‘Mathematics for Technicians’ for National Certificate and National Diploma in Engineering
(vi) Mathematics 1 for City & Guilds Technician Certificate in Telecommunications and Electronics Engineering
(vii) basic mathematics for a wide range of introductory/access/foundation mathematics courses
(viii) GCSE revision and for similar mathematics courses in English-speaking countries world-wide.
Basic Engineering Mathematics, 3rd edition provides a lead into Engineering Mathematics. Each topic considered in the text is presented in a way that assumes in the reader little previous knowledge of that topic. Theory is introduced in each chapter by a brief outline of essential theory, definitions, formulae, laws and procedures. However these are kept to a minimum, for problem solving is extensively used to establish and exemplify the theory. It is intended that readers will gain real understanding through seeing problems solved and then solving similar problems themselves.
This textbook contains some 575 worked problems, followed by over 1000 further problems (all with answers – at the end of the book). The further problems are contained within some 118 Exercises; each Exercise follows on directly from the relevant section of work. 260 line diagrams enhance the understanding of the theory. Where at all possible the problems mirror practical situations found in engineering and science.
(John Bird, University of Portsmouth)
Book Detail :-
Title: Basic Engineering Mathematics
Author(s): John Bird
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About Author :-
Author John Bird
is from Defence College of Technical Training, HMS Sultan, formerly of University of Portsmouth and Highbury College, Portsmouth.
John Bird is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, UK. More recently, he has combined freelance lecturing at the University of Portsmouth, with Examiner responsibilities for Advanced Mathematics with City and Guilds, and examining for the International Baccalaureate Organization. He is the author of some 125 textbooks on engineering and mathematical subjects, with worldwide sales of 1 million copies. He is currently a Senior Training Provider at the Defence School of Marine Engineering in the Defence College of Technical Training at HMS Sultan, Gosport, Hampshire, UK.
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Basic Engineering Mathematics (4E) written by
cover the following topics.
Arithmetic operations, Highest common factors and lowest common multiples, Order of precedence and brackets
Indices, standard form and engineering notation
Indices, Worked problems on indices, Further worked problems on indices, Standard form, Worked problems on standard form, Further worked problems on standard form, Engineering notation and common prefixes
Calculations and evaluation of formulae
Errors and approximations, Use of calculator, Conversion tables and charts, Evaluation of formulae, Assignment
Computer numbering systems
Binary numbers, Conversion of binary to denary, Conversion of denary to binary, Conversion of denary to binary via octal, Hexadecimal numbers
Basic operations, Laws of indices, Brackets and factorization, Fundamental laws and precedence, Direct and inverse proportionality, Assignment
Expressions, equations and identities, Worked problems on simple equations, Further worked problems on simple equations, Practical problems involving simple equations, Further practical problems involving simple equations
Transposition of formulae
Introduction to transposition of formulae, Worked problems on transposition of formulae, Further worked problems on transposition of formulae, Harder worked problems on transposition of formulae, Assignment 4
Introduction to simultaneous equations, Worked problems on simultaneous equations in two unknowns, Further worked problems on simultaneous equations, More difficult worked problems on simultaneous equations, Practical problems involving simultaneous equations
Introduction to quadratic equations, Solution of quadratic equations by factorization, Solution of quadratic equations by ‘completing the square, Solution of quadratic equations by formula, Practical problems involving quadratic equations, The solution of linear and quadratic equations simultaneously
Introduction to inequalities, Simple inequalities, Inequalities involving a modulus, Inequalities involving quotients, Inequalities involving square functions, Quadratic inequalities, Assignment 5
Straight line graphs
Introduction to graphs, The straight line graph, Practical problems involving straight line graphs
Graphical solution of equations
Graphical solution of simultaneous equations, Graphical solutions of quadratic equations, Graphical solution of linear and quadratic equations simultaneously, Graphical solution of cubic equations, Assignment 6
Introduction to logarithms, Laws of logarithms, Indicial equations, Graphs of logarithmic functions
The exponential function, Evaluating exponential functions, The power series for ex, Graphs of exponential functions, Napierian logarithms, Evaluating Napierian logarithms, Laws of growth and decay, Assignment 7
Reduction of non-linear laws to linear-form
Determination of law, Determination of law involving logarithms
Graphs with logarithmic scales
Logarithmic scales, Graphs of the form y = axn, Graphs of the form y = abx, Graphs of the form y = aekx
Geometry and triangles
Angular measurement, Types and properties of angles, Properties of triangles, Congruent triangles, Similar triangles, Construction of triangles, Assignment 8
Introduction to trigonometry
Trigonometry, The theorem of Pythagoras, Trigonometric ratios of acute angles, Solution of right-angled triangles, Angles of elevation and depression, Evaluating trigonometric ratios of any angles
Graphs of trigonometric functions, Angles of any magnitude, The production of a sine and cosine wave, Sine and cosine curves, Sinusoidal form A sin(?t ± a), Assignment 9
Cartesian and polar co-ordinates
Introduction, Changing from Cartesian into polar co-ordinates, Changing from polar into Cartesian co-ordinates, Use of R?P and P ?R functions on calculators
Areas of plane figures
Mensuration, Properties of quadrilaterals, Worked problems on areas of plane figures, Further worked problems on areas of plane figures, Areas of similar shapes, Assignment 10
Introduction, Properties of circles, Arc length and area of a sector, The equation of a circle
Volumes of common solids
Volumes and surface areas of regular solids, Worked problems on volumes and surface areas of regular solids, Further worked problems on volumes and surface areas of regular solids, Volumes and surface areas of frusta of pyramids and cones, Volumes of similar shapes, Assignment 11
Irregular areas and volumes and mean values of waveforms
Areas of irregular figures, Volumes of irregular solids, The mean or average value of a waveform
Triangles and some practical applications
Sine and cosine rules, Area of any triangle, Worked problems on the solution of triangles and their areas, Further worked problems on the solution of triangles and their areas, Practical situations involving trigonometry, Further practical situations involving trigonometry, Assignment 12
Introduction, Vector addition, Resolution of vectors, Vector subtraction, Relative velocity
Adding of waveforms
Combination of two periodic functions, Plotting periodic functions, Determining resultant phasors by calculation
Simple sequences, The n’th term of a series, Arithmetic progressions, Worked problems on arithmetic progression, Further worked problems on arithmetic progressions, Geometric progressions, Worked problems on geometric progressions, Further worked problems on geometric progressions, Assignment 13
Presentation of statistical data
Some statistical terminology, Presentation of ungrouped data, Presentation of grouped data
Measures of central tendency and dispersion
Measures of central tendency, Mean, median and mode for discrete data, Mean, median and mode for grouped data, Standard deviation, Quartiles, deciles and percentiles
Introduction to probability, Laws of probability, Worked problems on probability, Further worked problems on probability, Assignment 14
Introduction to differentiation
Introduction to calculus, Functional notation, The gradient of a curve, Differentiation from first principles, Differentiation of y = ax n by the general rule, Differentiation of sine and cosine functions, Differentiation of eax and ln ax, Summary of standard derivatives, Successive differentiation, Rates of change
Introduction to integration
The process of integration, The general solution of integrals of the form axn, Standard integrals, Definite integrals, Area under a curve
List of formulae
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