Engineering Mathematics with Applications to Fire Engineering

This book addresses direct application of mathematics to fire engineering problems

Gives background interpretation for included mathematical methods

Illustrates a step-by-step detailed solution to solving relevant problems

Includes pictorial representation of the problems

Discusses a comprehensive topic list in the realm of engineering mathematics topics including basic concepts of Algebra, Trigonometry and Statistics

1 Review of Basic Concepts 2 Introduction to Probability Theory 3 Vectors and Geometrical Applications 4 Determinants and Matrices 5 Complex Numbers 6 Introduction to Calculus 7 Ordinary Linear Differential Equations 8 Laplace Transforms 9 Fourier Series and Fourier Transforms 10 Multivariable Calculus 11 Vector Calculus

Khalid Khan, B.Sc. (Hons), M.Sc., Ph.D., received his B.Sc. (Hons) in Mathematical Physics, M.Sc. and Ph.D. in Control Systems all from the Unversity of Manchester Institute of Science and Technology in the United Kingdom. Dr Khan then spent two years as a Consultant Engineer working on safety, reliabilty and risk assessment problems in the energy industry. Subsequently, he moved abroad and after spending some period of time as an Assistant Professor of mathematics at Eitisalat University in the United Arab Emirates he returned to the United Kingdom and took up a position at the University of Central Lancashire.

Dr Khan is currently a Senior Lecturer in Engineering Mathematics in the School of Engineering at the University of Central Lancashire. He teaches on a range of mathematics modules within the Fire degree programmes and contributes to other mathematics teaching within the School and College. He is currently the course leader for the Foundation Degree in Fire Safety Engineering. Dr Khan as part of the Fire Team has been involved in the development of a range of courses in Fire Safety Engineering and Management that are currently running at one of UCLan’s International partnerships in Qatar.

Dr Khan’s research interests are in the area of mathematical modelling of system behaviour in a range of applications. His current work focuses on fire suppression using sprinkler systems and on mathematical models of collective motion of self-propelled particles in homogeneous and heterogeneous mediums. Dr Khan has currently over thirty publications and is also a member of two journal review panel boards.

Tony Graham, B.Sc. (Hons), Ph.D., is a senior lecturer and course leader at University of Central Lancashire, UK. Best known for teaching fire safety engineering to thousands of students over 24 years in different countries and for papers on compartment fire dynamics and the phenomenon of flashover fire. His teaching also includes risk engineering a