Engineering Mathematics Fourth Edition By JOHN BIRD

Contents

Part 1 Number and Algebra

1 Revision of fractions, decimals and percentages

2 Indices and standard form

3 Computer numbering systems

4 Calculations and evaluation of formulae

5 Algebra

6 Further algebra

7 Partial fractions

8 Simple equations

9 Simultaneous equations

10 Transposition of formulae

11 Quadratic equations

12 Logarithms

13 Exponential functions

14 Number sequences

Preface

This fourth edition of ‘Engineering Mathematics’ covers a wide range of syllabus requirements. In particular, the book is most suitable for the latest National Certificate and Diploma courses and

Vocational Certificate of Education 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 under graduates who need some remedial mathematics will also find this book meets their needs. In Engineering Mathematics 4th Edition, 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 ten topic areas, these being: number and algebra, mensuration, trigonometry, graphs, vectors, complex numbers, statistics, differential calculus, integral calculus and further number and algebra. Each topic considered in the text is presented in a way that assumes in the reader little previous knowledge of that topic. ‘Engineering Mathematics 4th Edition’ provides a follow-up to ‘Basic Engineering Mathematics’ and a lead into ‘Higher Engineering Mathematics’.

This textbook contains over 900 worked problems, followed by some 1700 further problems (all with answers). The further problems are contained within some 208 Exercises; each

Exercise follows on directly from the relevant section of work, every two or three pages. In

addition, the text contains 234 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 16 Assignments to check understanding. For example, Assignment 1 covers material contained in Chapters 1 to 4, Assignment 2 covers the material in Chapters 5 to 8, and so on. These Assignments do not have answers given since it is envisaged that lecturers could set the Assignments for students to attempt as part of their course structure. Lecturers’ may obtain a complimentary set of solutions of the Assignments in an Instructor’s Manual available from the publishers via the internet — full worked solutions and mark scheme for all the Assignments are contained in this Manual, which is available.

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