Book Details :
LanguageEnglish
Pages591
FormatPDF
Size14.4 MB

# Engineering Mathematics 5th Edition by John Bird

### The Author of Engineering Mathematics Fifth Edition Book

John Bird is the editor of Engineering Mathematics 5th Edition PDF Book.

## Main Contents of Engineering Mathematics 5th Edition by John Bird [pdf]

• Revision of fractions, decimals and percentages.
• Indices, standard form and engineering notation.
• Computer numbering systems.
• Calculations and evaluation of formulae.
• Algebra.
• Further algebra.
• Partial fractions.
• Simple equation.
• Simultaneous equations.
• Transposition of formulae.
• Inequalities.
• Logarithms.
• Exponential functions.
• Number sequences.
• The binomial series.
• Solving equations by iterative methods.
• Mensuration.
• Areas of plane figures.
• The circle and its properties.
• Volumes and surface areas of common solids.
• Irregular areas and volumes and mean values of wave forms.
• Introduction to trigonometry.
• Trigonometric wave forms.
• Cartesian and polar co-ordinates.
• Triangles and some practical applications.
• Trigonometric identities and equations.
• Compound angles.
• Straight line graphs.
• Reduction of non-linear laws to linear form.
• Graphs with logarithmic scales.
• Graphical solution of equations.
• Functions and their curves.
• Vectors.
• Combination of wave forms.
• Complex numbers.
• De Moivre’s theorem.
• Presentation of statistical data.
• Measures of central tendency and dispersion.
• Probability.
• The binomial and Poisson distribution.
• The normal distribution.
• Introduction to differentiation.
• Methods of differentiation.
• Some applications of differentiation.
• Differentiation of parametric equations.
• Differentiation of implicit functions.
• Logarithmic differentiation.
• Standard integration.
• Integration using algebraic substitutions.
• Integration using trigonometric substitutions.
• Integration using partial fractions.
• Integration by part.
• The t = tan(θ%2) substitution.
• Numerical integration.
• Areas under and between curves.
• Mean and root mean square values.
• Volumes of solids of revolution.
• Centroids of simple shapes.
• Second moments of area.
• Boolean algebra and logic circuits.
• The theory of matrices and determinants.
• The solution of simultaneous equations by matrices and determinants.
• Introduction to differential equations.

## Preface to Engineering Mathematics 5th Edition by John Bird

Engineering Mathematics 5th Edition covers a wide range of syllabus requirements. In particular, the book is most suitable for the latest National Certificate and Diploma courses and City & Guilds syllabuses in Engineering.

This text will provide a foundation in mathematical principles, which will enable students to solve mathematical, scientific and associated engineering principles.

In addition, the material will provide engineering applications and mathematical principles necessary for advancement onto a range of Incorporated Engineer degree profiles.

It is widely recognised that a students’ ability to use mathematics is a key element in determining subsequent success. First year undergraduates who need some remedial mathematics will also find this book meets their needs.

In Engineering Mathematics 5th Edition, new material is included on inequalities, differentiation of parametric equations, implicit and logarithmic functions and an introduction to differential equations.

Because of restraints on extent, chapters on linear correlation, linear regression and sampling and estimation theories have been removed.

However, these three chapters are available to all via the internet. A new feature of this fifth edition is that a free Internet download is available of a sample of solutions (some 1250) of the 1750 further problems contained in the book – see below.

 Related Free eBooks Basic Engineering Mathematics 4th Edition

Another new feature is a free Internet download (available for lecturers only) of all 500 illustrations contained in the text – see below.

Throughout the text theory is introduced in each chapter by a simple outline of essential definitions, formulae, laws and procedures. The theory is 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 through solving similar problems themselves.

For clarity, the text is divided into eleven topic areas, these being: number and algebra, mensuration, trigonometry, graphs, vectors, complex numbers, statistics, differential calculus, integral calculus, further number and algebra and differential equations.

This new edition covers, in particular, the following syllabuses:

(i) Mathematics for Technicians, the core unit for National Certificate/Diploma courses in Engineering, to include all or part of the following chapters:

1. Algebraic methods: 2, 5, 11, 13, 14, 28, 30

(1, 4, 8, 9 and 10 for revision)

2. Trigonometric methods and areas and volumes: 18–20, 22–25, 33, 34

3. Statistical methods: 37, 38

4. Elementary calculus: 42, 48, 55

(ii) Further Mathematics for Technicians, the optional unit for National Certificate/Diploma courses in Engineering, to include all or part of the following chapters:

2. Algebraic techniques: 15, 35, 38

2. Trigonometry: 23, 26, 27, 34

3. Calculus: 42–44, 48, 55–56

(iii) The mathematical contents of Electrical and Electronic Principles units of the City & Guilds Level 3 Certificate in Engineering (2800).

(iv) Any introductory/access/foundation course involving Engineering Mathematics at University, Colleges of Further and Higher education and in schools.

Each topic considered in the text is presented in a way that assumes in the reader little previous knowledge of that topic.

Engineering Mathematics 5th Edition provides a follow-up to Basic Engineering Mathematics and a lead into Higher Engineering Mathematics 5th Edition. This textbook contains over 1000 worked problems, followed by some 1750 further problems (all with answers).

The further problems are contained within some 220 Exercises; each Exercise follows on directly from the relevant section of work, every two or three pages.

In addition, the text contains 238 multiple-choice questions. Where at all possible, the problems mirror practical situations found in engineering and science.

500 line diagrams enhance the understanding of the theory. At regular intervals throughout the text are some 18 Revision tests to check understanding.

For example, Revision test 1 covers material contained in Chapters 1 to 4, Revision test 2 covers the material in Chapters 5 to 8, and so on.

These Revision Tests do not have answers given since it is envisaged that lecturers could set the tests for students to attempt as part of their course structure.

Lecturers’ may obtain a complimentary set of solutions of the Revision Tests in an Instructor’s Manual available from the publishers via the internet – see below.

A list of Essential Formulae is included in the Instructor’s Manual for convenience of reference. Learning by Example is at the heart of Engineering Mathematics 5th Edition.

JOHN BIRD
Royal Naval School of Marine Engineering,
HMS Sultan,
formerly University of Portsmouth and
Highbury College,
Portsmouth