ABSTRACT

A practical introduction to the core mathematics required for engineering study and practice

Now in its seventh edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.

John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of Level 2 and 3 engineering courses.

This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae, multiple choice tests, full solutions for all 1,800 further questions contained within the practice exercises, and biographical information on the 24 famous mathematicians and engineers referenced throughout the book.

The companion website for this title can be accessed from www.routledge.com/cw/bird

part |2 pages

Section 1 Number and algebra

chapter 3|10 pages

Binary, octal and hexadecimal numbers

chapter 4|10 pages

Calculations and evaluation of formulae

chapter |1 pages

Revision Test 1

chapter 5|10 pages

Algebra

chapter 6|7 pages

Further algebra

chapter 7|7 pages

Partial fractions

chapter 8|8 pages

Solving simple equations

chapter |1 pages

Revision Test 2

chapter 9|10 pages

Solving simultaneous equations

chapter 10|7 pages

Transposition of formulae

chapter 11|9 pages

Solving quadratic equations

chapter 12|6 pages

Inequalities

chapter 13|7 pages

Logarithms

chapter |1 pages

Revision Test 3

chapter 14|12 pages

Exponential functions

chapter 15|9 pages

Number sequences

chapter 16|9 pages

The binomial series

chapter 17|4 pages

Solving equations by iterative methods

chapter |1 pages

Revision Test 4

part |2 pages

Section 2 Areas and volumes

chapter 18|9 pages

Areas of common shapes

chapter 19|8 pages

The circle

chapter 20|17 pages

Volumes and surface areas of common solids

chapter |3 pages

Revision Test 5

part |2 pages

Section 3 Trigonometry

chapter 22|13 pages

Introduction to trigonometry

chapter 23|12 pages

Trigonometric waveforms

chapter 24|5 pages

Cartesian and polar co-ordinates

chapter |1 pages

Revision Test 6

chapter 25|10 pages

Triangles and some practical applications

chapter 26|7 pages

Trigonometric identities and equations

chapter 27|10 pages

Compound angles

chapter |1 pages

Revision Test 7

part |2 pages

Section 4 Graphs

chapter 28|13 pages

Straight line graphs

chapter 30|8 pages

Graphs with logarithmic scales

chapter 31|8 pages

Graphical solution of equations

chapter 32|12 pages

Functions and their curves

chapter |2 pages

Revision Test 8

part |2 pages

Section 5 Complex numbers

chapter 33|13 pages

Complex numbers

chapter 34|5 pages

De Moivre’s theorem

part |2 pages

Section 6 Vectors

chapter 35|14 pages

Vectors

chapter 36|10 pages

Methods of adding alternating waveforms

chapter |2 pages

Revision Test 9

part |2 pages

Section 7 Statistics

chapter 37|12 pages

Presentation of statistical data

chapter 38|7 pages

Mean, median, mode and standard deviation

chapter 39|8 pages

Probability

chapter |1 pages

Revision Test 10

chapter 40|7 pages

The binomial and Poisson distribution

chapter 41|9 pages

The normal distribution

chapter |1 pages

Revision Test 11

chapter 42|5 pages

Linear correlation

chapter 43|6 pages

Linear regression

chapter 44|12 pages

Sampling and estimation theories

chapter |1 pages

Revision Test 12

part |2 pages

Section 8 Differential calculus

chapter 45|10 pages

Introduction to differentiation

chapter 46|9 pages

Methods of differentiation

chapter 47|17 pages

Some applications of differentiation

chapter |1 pages

Revision Test 13

chapter 48|6 pages

Differentiation of parametric equations

chapter 49|5 pages

Differentiation of implicit functions

chapter 50|6 pages

Logarithmic differentiation

chapter |2 pages

Revision Test 14

part |2 pages

Section 9 Integral calculus

chapter 51|7 pages

Standard integration

chapter 52|5 pages

Integration using algebraic substitutions

chapter |1 pages

Revision Test 15

chapter 54|5 pages

Integration using partial fractions

chapter 55|5 pages

The t = tanθ/2 substitution

chapter 56|6 pages

Integration by parts

chapter 57|8 pages

Numerical integration

chapter |1 pages

Revision Test 16

chapter 58|9 pages

Areas between curves

chapter 59|5 pages

Mean and root mean square values

chapter 60|5 pages

Volumes of solids of revolution

chapter 61|9 pages

Centroids of simple shapes

chapter 62|8 pages

Second moments of area

chapter |1 pages

Revision Test 17

part |2 pages

Section 10 Further number and algebra

chapter 63|19 pages

Boolean algebra and logic circuits

chapter 64|10 pages

The theory of matrices and determinants

chapter |1 pages

Revision Test 18

part |2 pages

Section 11 Differential equations

chapter 66|9 pages

Introduction to differential equations

chapter |1 pages

Revision Test 19

chapter |11 pages

List of Essential formulae

chapter |31 pages

Answers to Practice Exercises

chapter |1 pages

Answers to multiple choice questions