## ABSTRACT

This compendium of essential formulae, definitions, tables and general information provides the mathematical information required by engineering students, technicians, scientists and professionals in day-to-day engineering practice. A practical and versatile reference source, now in its fifth edition, the layout has been changed and streamlined to ensure the information is even more quickly and readily available – making it a handy companion on-site, in the office as well as for academic study. It also acts as a practical revision guide for those undertaking degree courses in engineering and science, and for BTEC Nationals, Higher Nationals and NVQs, where mathematics is an underpinning requirement of the course.

All the essentials of engineering mathematics – from algebra, geometry and trigonometry to logic circuits, differential equations and probability – are covered, with clear and succinct explanations and illustrated with over 300 line drawings and 500 worked examples based in real-world application. The emphasis throughout the book is on providing the practical tools needed to solve mathematical problems quickly and efficiently in engineering contexts. John Bird’s presentation of this core material puts all the answers at your fingertips.

## TABLE OF CONTENTS

section Section 1|1 pages

Engineering conversions, constants and symbols

section Section 2|1 pages

Some algebra topics

section Section 3|1 pages

Some number topics

chapter Chapter 30|3 pages

#### Solving equations by iterative methods (2) – an algebraic method of successive approximations

section Section 4|2 pages

Areas and volumes

section Section 5|2 pages

Geometry and trigonometry

section Section 6|2 pages

Graphs

section Section 7|1 pages

Complex numbers

section Section 8|1 pages

Vectors

section Section 9|1 pages

Matrices and determinants

section Section 10|1 pages

Boolean algebra and logic circuits

section Section 11|2 pages

Differential calculus and its applications

section Section 12|2 pages

Integral calculus and its applications

section Section 13|2 pages

Differential equations

chapter Chapter 137|3 pages

#### Numerical methods for first order differential equations (1) – Euler’s method

chapter Chapter 138|3 pages

#### Numerical methods for first order differential equations (2) – the Euler-Cauchy method

chapter Chapter 139|4 pages

#### Numerical methods for first order differential equations (3) – the Runge-Kutta method

chapter Chapter 140|4 pages

#### Second order differential equations of the form a d 2 y dx 2 + b dy dx + cy = 0

chapter Chapter 141|6 pages

#### Second order differential equations of the form a d 2 y dx 2 + b dy dx + cy = f ( x )

chapter Chapter 142|2 pages

#### Power series methods of solving ordinary differential equations (1) – Leibniz theorem

chapter Chapter 143|2 pages

#### Power series methods of solving ordinary differential equations (2) – Leibniz-Maclaurin method

chapter Chapter 144|4 pages

#### Power series methods of solving ordinary differential equations (3) – Frobenius method

chapter Chapter 145|2 pages

#### Power series methods of solving ordinary differential equations (4) – Bessel’s equation

chapter Chapter 147|2 pages

#### Power series methods of solving ordinary differential equations (6) – Rodrigue’s formula

chapter Chapter 148|2 pages

#### Solution of partial differential equations (1) – by direct partial integration

chapter Chapter 150|2 pages

#### Solution of partial differential equations (3) – the heat conduction equation

section Section 14|1 pages

Laplace transforms

section Section 15|1 pages

Z-transforms

section Section 16|2 pages

Fourier series

section Section 17|4 pages

Statistics and probability