Now in its ninth edition, Bird’s Engineering Mathematics has helped thousands of students to succeed in their exams. Mathematical theories are explained in a straightforward manner, supported by practical engineering examples and applications to ensure that readers can relate theory to practice. Some 1,300 engineering situations/problems have been ‘flagged-up’ to help demonstrate that engineering cannot be fully understood without a good knowledge of mathematics.

The extensive and thorough topic coverage makes this a great text for a range of level 2 and 3 engineering courses – such as for aeronautical, construction, electrical, electronic, mechanical, manufacturing engineering and vehicle technology – including for BTEC First, National and Diploma syllabuses, City & Guilds Technician Certificate and Diploma syllabuses, and even for GCSE and A-level revision.

Its companion website at www.routledge.com/cw/bird provides resources for both students and lecturers, including full solutions for all 2,000 further questions, lists of essential formulae, multiple-choice tests, and illustrations, as well as full solutions to revision tests for course instructors.

section Section 1|166 pages

Number and algebra

chapter 2Chapter 1|10 pages

Revision of fractions, decimals and percentages

chapter Chapter 2|17 pages

Indices, engineering notation and metric conversions

chapter Chapter 3|11 pages

Binary, octal and hexadecimal numbers

chapter Chapter 4|13 pages

Calculations and evaluation of formulae

chapter Chapter 5|12 pages


chapter Chapter 6|7 pages

Further algebra

chapter Chapter 7|7 pages

Partial fractions

chapter Chapter 8|9 pages

Solving simple equations

chapter Chapter 9|9 pages

Transposition of formulae

chapter Chapter 10|11 pages

Solving simultaneous equations

chapter Chapter 11|11 pages

Solving quadratic equations

chapter Chapter 12|6 pages


chapter Chapter 13|10 pages


chapter Chapter 14|11 pages

Exponential functions

chapter Chapter 15|9 pages

Number sequences

chapter Chapter 16|11 pages

The binomial series

section Section 2|68 pages


chapter 168Chapter 17|15 pages

Introduction to trigonometry

chapter Chapter 18|12 pages

Trigonometric waveforms

chapter Chapter 19|7 pages

Cartesian and polar co-ordinates

chapter Chapter 20|11 pages

Triangles and some practical applications

chapter Chapter 21|8 pages

Trigonometric identities and equations

chapter Chapter 22|13 pages

Compound angles

section Section 3|52 pages

Areas and volumes

chapter 236Chapter 23|10 pages

Areas of common shapes

chapter Chapter 24|10 pages

The circle and its properties

chapter Chapter 25|19 pages

Volumes and surface areas of common solids

chapter Chapter 26|11 pages

Irregular areas and volumes and mean values of waveforms

section Section 4|58 pages


chapter 288Chapter 27|15 pages

Straight line graphs

chapter Chapter 28|9 pages

Reduction of non-linear laws to linear form

chapter Chapter 29|8 pages

Graphs with logarithmic scales

chapter Chapter 30|9 pages

Graphical solution of equations

chapter Chapter 31|15 pages

Functions and their curves

section Section 5|20 pages

Complex numbers

chapter 346Chapter 32|13 pages

Complex numbers

chapter Chapter 33|5 pages

De Moivre's theorem

section Section 6|30 pages


chapter 366Chapter 34|16 pages


chapter Chapter 35|12 pages

Methods of adding alternating waveforms

section Section 7|72 pages

Differential calculus

chapter 396Chapter 36|11 pages

Introduction to differentiation

chapter Chapter 37|9 pages

Methods of differentiation

chapter Chapter 38|18 pages

Some applications of differentiation

chapter Chapter 39|4 pages

Solving equations by Newton's method

chapter Chapter 40|8 pages

Maclaurin's series

chapter Chapter 41|6 pages

Differentiation of parametric equations

chapter Chapter 42|6 pages

Differentiation of implicit functions

chapter Chapter 43|8 pages

Logarithmic differentiation

section Section 8|92 pages

Integral calculus

chapter 468Chapter 44|7 pages

Standard integration

chapter Chapter 45|6 pages

Integration using algebraic substitutions

chapter Chapter 46|9 pages

Integration using trigonometric substitutions

chapter Chapter 47|5 pages

Integration using partial fractions

chapter Chapter 48|5 pages

The t = tan ⁡ θ 2 substitution

chapter Chapter 49|6 pages

Integration by parts

chapter Chapter 50|10 pages

Numerical integration

chapter Chapter 51|10 pages

Areas under and between curves

chapter Chapter 52|5 pages

Mean and root mean square values

chapter Chapter 53|6 pages

Volumes of solids of revolution

chapter Chapter 54|10 pages

Centroids of simple shapes

chapter Chapter 55|11 pages

Second moments of area

section Section 9|12 pages

Differential equations

chapter 560Chapter 56|10 pages

Introduction to differential equations

section Section 10|44 pages

Further number and algebra

chapter 572Chapter 57|19 pages

Boolean algebra and logic circuits

chapter Chapter 58|11 pages

The theory of matrices and determinants

section Section 11|75 pages


chapter 616Chapter 60|12 pages

Presentation of statistical data

chapter Chapter 61|8 pages

Mean, median, mode and standard deviation

chapter Chapter 62|12 pages


chapter Chapter 63|7 pages

The binomial and Poisson distribution

chapter Chapter 64|10 pages

The normal distribution

chapter Chapter 65|5 pages

Linear correlation

chapter Chapter 66|6 pages

Linear regression

chapter Chapter 67|13 pages

Sampling and estimation theories