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Basic Engineering Mathematics Download PDF

Download Basic Engineering Mathematics PDF
Basic Engineering Mathematics PDF
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Basic Engineering Mathematics Download PDF

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Basic Engineering Mathematics 5th 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 fifth edition, new material has been added to many of the chapters, particularly some of the earlier chapters, together with extra practice problems interspersed throughout the text. The extent of this fifth edition is such that four chapters from the previous edition have been removed and placed on the easily available website http://www.booksite.elsevier.com/newnes/bird. The chapters removed from the website are ‘Number sequences’, ‘Binary, octal and hexadecimal, ‘Inequalityties’, and ‘Graphs with logarithmic scales. The text is relevant to • ‘Mathematics for Engineering Technicians’ for BTEC First NQF Level 2 – Chapters 1–12, 16–18, 20, 21, 23, and 25–27 are needed for this module. • The mandatory ‘Mathematics for Technicians’ for BTEC National Certificate and National Diploma in Engineering, NQF Level 3 – Chapters 7–10, 14–17, 19, 20–23, 25–27, 31, 32, 34, and 35 are needed and, in addition, Chapters 1–6, 11 and 12 are helpful revision for this module. • Basic mathematics for a wide range of introductory/access/foundation mathematics courses. • GCSE revision and similar mathematics courses in English-speaking countries worldwide. Basic Engineering Mathematics 5th Edition provides a lead into Engineering Mathematics 6th Edition. Each topic considered in the text is presented in a way that assumes the reader has little previous knowledge of that topic. Each chapter begins with a brief outline of essential theory, definitions, formulae, laws, and procedures; however, these are kept to a minimum as problem-solving is extensively used to establish and exemplify the theory. It is intended that readers will gain real understanding by seeing problems solved and then solving similar problems themselves. This textbook contains some 750 worked problems, followed by over 1550 further problems (all with answers at the end of the book) contained within some 161 Practice Exercises; each Practice Exercise follows directly from the relevant section of work. In addition, 376 line diagrams enhance understanding of the theory. Where at all possible, the problems mirror potential practical situations found in engineering and science. Placed at regular intervals throughout the text are 14 Revision Tests (plus another for the website chapters) to check to understand. For example, Revision Test 1 covers material contained in Chapters 1 and 2, Revision Test 2 covers the material contained in Chapters 3–5, and so on. These Revision Tests do not have answers given since it is envisaged that lecturers/instructors could set the tests for students to attempt as part of their course structure. Lecturers/instructors may obtain a complimentary set of solutions of the Revision Tests in an Instructor’s Manual, available from the publishers via the internet – see http://www.booksite.elsevier.com/newnes/bird. At the end of the book, a list of relevant formulae contained within the text is included for the convenience of reference. The principle of learning by example is at the heart of Basic Engineering Mathematics 5th Edition.

Contents Of The Book :

Acknowledgements x
Instructor’s Manual xi
1 Basic arithmetic 
1.1 Introduction 
1.2 Revision of addition and subtraction 
1.3 Revision of multiplication and division 
1.4 Highest common factors and lowest common multiples 
1.5 Order of precedence and brackets
2 Fractions 
2.1 Introduction 
2.2 Adding and subtracting fractions 
2.3 Multiplication and division of fractions 
2.4 Order of precedence with fractions 
Revision Test 1
3 Decimals 
3.1 Introduction 
3.2 Converting decimals to fractions and
3.3 Significant figures and decimal places 
3.4 Adding and subtracting decimal numbers 
3.5 Multiplying and dividing decimal numbers
4 Using a calculator 
4.1 Introduction 
4.2 Adding, subtracting, multiplying and dividing 
4.3 Further calculator functions 
4.4 Evaluation of formulae 
5 Percentages 
5.1 Introduction 
5.2 Percentage calculations 
5.3 Further percentage calculations 
5.4 More percentage calculations
Revision Test 2 
6 Ratio and proportion 
6.1 Introduction 
6.2 Ratios
6.3 Direct proportion 
6.4 Inverse proportion 
7 Powers, roots and laws of indices 
7.1 Introduction 
7.2 Powers and roots 
7.3 Laws of indices 
8 Units, prefixes and engineering notation 
8.1 Introduction 
8.2 SI units 
8.3 Common prefixes 
8.4 Standard form 
8.5 Engineering notation 
Revision Test 3 
9 Basic algebra 
9.1 Introduction 
9.2 Basic operations 
9.3 Laws of indices 
10 Further algebra 
10.1 Introduction 
10.2 Brackets 
10.3 Factorization 
10.4 Laws of precedence 
11 Solving simple equations 
11.1 Introduction 
11.2 Solving equations 
11.3 Practical problems involving simple equations 
Revision Test 4 
12 Transposing formulae 
12.1 Introduction 
12.2 Transposing formulae 
12.3 Further transposing of formulae 
12.4 More difficult transposing of formulae 
13 Solving simultaneous equations 
13.1 Introduction 
13.2 Solving simultaneous equations in two unknowns 
13.3 Further solving of simultaneous equations 
13.4 Solving more difficult simultaneous equations 
13.5 Practical problems involving simultaneous equations 
13.6 Solving simultaneous equations in three unknowns 
Revision Test 5 
14 Solving quadratic equations 
14.1 Introduction 
14.2 Solution of quadratic equations by factorization 
14.3 Solution of quadratic equations by ‘completing the square’ 
14.4 Solution of quadratic equations by formula 
14.5 Practical problems involving quadratic equations 
14.6 Solution of linear and quadratic equations simultaneously 
15 Logarithms 
15.1 Introduction to logarithms 
15.2 Laws of logarithms 
15.3 Indicial equations 
15.4 Graphs of logarithmic functions 
16 Exponential functions 
16.1 Introduction to exponential functions 
16.2 The power series for ex 
16.3 Graphs of exponential functions 
16.4 Napierian logarithms 
16.5 Laws of growth and decay 
Revision Test 6 
17 Straight line graphs 
17.1 Introduction to graphs 
17.2 Axes, scales and co-ordinates 
17.3 Straight line graphs 
17.4 Gradients, intercepts and equations of graphs 
17.5 Practical problems involving straight line graphs 
18 Graphs reducing non-linear laws to linear form 
18.1 Introduction 
18.2 Determination of law 
18.3 Revision of laws of logarithms 
18.4 Determination of law involving logarithms
19 Graphical solution of equations 
19.1 Graphical solution of simultaneous equations
19.2 Graphical solution of quadratic equations 
19.3 Graphical solution of linear and quadratic equations simultaneously 
19.4 Graphical solution of cubic equations 
Revision Test 7 
20 Angles and triangles 
20.1 Introduction 
20.2 Angular measurement 
20.3 Triangles 
20.4 Congruent triangles 
20.5 Similar triangles 
20.6 Construction of triangles 
21 Introduction to trigonometry 
21.1 Introduction 
21.2 The theorem of Pythagoras 
21.3 Sines, cosines and tangents 
21.4 Evaluating trigonometric ratios of acute angles 
21.5 Solving right-angled triangles 
21.6 Angles of elevation and depression 
Revision Test 8 
22 Trigonometric waveforms 
22.1 Graphs of trigonometric functions 
22.2 Angles of any magnitude 
22.3 The production of sine and cosine waves 
22.4 Terminology involved with sine and cosine waves 
22.5 Sinusoidal form: Asin(ωt ± α) 
23 Non-right-angled triangles and some practical applications 
23.1 The sine and cosine rules 
23.2 Area of any triangle 
23.3 Worked problems on the solution of triangles and their areas 
23.4 Further worked problems on the solution of triangles and their areas 
23.5 Practical situations involving trigonometry 
23.6 Further practical situations involving trigonometry
24 Cartesian and polar co-ordinates 
24.1 Introduction 
24.2 Changing from Cartesian to polar co-ordinates 
24.3 Changing from polar to Cartesian co-ordinates 
24.4 Use of Pol/Rec functions on calculators 
Revision Test 9 
25 Areas of common shapes 
25.1 Introduction 
25.2 Common shapes 
25.3 Areas of common shapes 
25.4 Areas of similar shapes 
26 The circle 
26.1 Introduction 
26.2 Properties of circles 
26.3 Radians and degrees 
26.4 Arc length and area of circles and sectors 
26.5 The equation of a circle 
Revision Test 10 
27 Volumes of common solids 
27.1 Introduction 
27.2 Volumes and surface areas of common shapes 
27.3 Summary of volumes and surface areas of common solids 
27.4 More complex volumes and surface areas 
27.5 Volumes and surface areas of frusta of pyramids and cones 
27.6 Volumes of similar shapes 
28 Irregular areas and volumes, and mean values 
28.1 Areas of irregular figures 
28.2 Volumes of irregular solids 
28.3 Mean or average values of waveforms 
Revision Test 11
29 Vectors 
29.1 Introduction 
29.2 Scalars and vectors 
29.3 Drawing a vector 
29.4 Addition of vectors by drawing 
29.5 Resolving vectors into horizontal and vertical components 
29.6 Addition of vectors by calculation 
29.7 Vector subtraction 
29.8 Relative velocity 
29.9 i, j and k notation 
30 Methods of adding alternating waveforms 
30.1 Combining two periodic functions 
30.2 Plotting periodic functions 
30.3 Determining resultant phasors by drawing 
30.4 Determining resultant phasors by the sine and cosine rules 
30.5 Determining resultant phasors by horizontal and vertical components 
Revision Test 12 
31 Presentation of statistical data 
31.1 Some statistical terminology 
31.2 Presentation of ungrouped data 
31.3 Presentation of grouped data 
32 Mean, median, mode and standard deviation 
32.1 Measures of central tendency 
32.2 Mean, median and mode for discrete data 
32.3 Mean, median and mode for grouped data 
32.4 Standard deviation 
32.5 Quartiles, deciles and percentiles 
33 Probability 
33.1 Introduction to probability 
33.2 Laws of probability 
Revision Test 13 
34 Introduction to differentiation 
34.1 Introduction to calculus 
34.2 Functional notation 
34.3 The gradient of a curve 
34.4 Differentiation from first principles 
34.5 Differentiation of y = axn by the general rule 
34.6 Differentiation of sine and cosine functions 
34.7 Differentiation of eax and ln ax 
34.8 Summary of standard derivatives 
34.9 Successive differentiation 
34.10 Rates of change 
35 Introduction to integration 
35.1 The process of integration 
35.2 The general solution of integrals of the form axn 
35.3 Standard integrals 
35.4 Definite integrals 
35.5 The area under a curve 
Revision Test 14 
36 Number sequences 
36.1 Simple sequences 
36.2 The n’th term of a series 
36.3 Arithmetic progressions 
36.4 Geometric progressions 
37 Binary, octal and hexadecimal 
37.1 Introduction 
37.2 Binary numbers
37.3 Octal numbers 
37.4 Hexadecimal numbers 
38 Inequalities 
38.1 Introduction to inequalities 
38.2 Simple inequalities
38.3 Inequalities involving a modulus 
38.4 Inequalities involving quotients 
38.5 Inequalities involving square functions 
38.6 Quadratic inequalities 
39 Graphs with logarithmic scales 
39.1 Logarithmic scales and logarithmic graph paper 
39.2 Graphs of the form y = axn 
39.3 Graphs of the form y = abx 
39.4 Graphs of the form y = aekx 
Revision Test 15 
Answers to practice exercises 

Information Of The Book :

Title: Basic Engineering Mathematics Download PDF.
Language: English.
Size: 3,35 Mb.
Pages: 337.
Format: PDF.
Author: John Bird.