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