**Download Basic Engineering Mathematics PDF**

**Basic Engineering Mathematics PDF**

**Picture Of The Book :**

**About Of The Book :**

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

vice-versa

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.

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