Mathematics in Engineering and Science

Mathematics in Engineering and Science by L. R. Mustoe from Loughborough University, UK, and M. D. J. Barry from the University of Bristol, UK, provides an insightful exploration into the role of mathematics in today's technologically advanced world. As technology progresses, mathematics finds wider applications in our quest to understand nature's phenomena.

Traditionally, engineering and science have relied on mathematical models for design and behavioural prediction. Even with the widespread availability of computers and calculators, the ability to perform simple calculations remains crucial for grasping underlying processes. This book begins with a synopsis of the authors' previous work, Foundation Mathematics (Wiley, 1998), and extends into trigonometry, equation solutions, and algebra. It progresses to cover vectors, extends calculus into geometrical applications, and then delves into matrix algebra and uncertainty.

Deeper analysis follows in chapters discussing integer variables, differential equations, and complex numbers, culminating in an appendix on mathematical modelling. Each chapter opens with learning objectives and concludes with a summary of key points and results. The book is rich with worked examples that integrate motivational applications, enhancing both knowledge and skill.

Drill and practice are essential, with exercises graded for difficulty to aid reading and revision. Answers at the end of each chapter provide helpful hints. The use of a pocket calculator is encouraged where suitable. Many exercises are designed for validation by computer algebra to achieve higher algebraic accuracy and ease tedious computations.

The concise and focused approach of Mathematics in Engineering and Science empowers students to confidently tackle university-level mathematical challenges. Both Foundation Mathematics and Mathematics in Engineering and Science are crafted to be complementary and independent, allowing students to choose one or both depending on their prior mathematical experience and desired level of expertise.