Physics and engineering students need a clear understanding of mathematics in order to solve a vast array of problems posed to them in coursework. Unfortunately, in many textbooks, mathematical proofs and techniques obscure a fundamental understanding of the physical principles. In a clear and didactic manner, this book explains to the student why particular advanced mathematical techniques are useful for solving certain problems. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering through a discussion of a wide range of real physical problems. The topics covered include simultaneous equations, three-dimensional geometry and vectors, complex numbers, differential equations, partial derivatives, Taylor series, and Lagrange multipliers.Professor Lyons has the ability to reach students and expand their minds mathematically. Journal of College Science TeachingPractical and entertaining maths for science, addressing the real world rather than dry theorems.