All You Wanted to Know about Mathematics but Were Afraid to Ask

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.

• Emphasis on why particular methods are successful, with applications to real situations
• Tested in class and teaching situations
• Makes students see maths are a valuable tool by cutting through the fog of theorems and dry analysis