This book is written for bioengineers who wish to learn more about fractional calculus (integration and differentiation of arbitrary order) and the ways in which it can be used to solve biomedical problems. The text covers a wide range of topics (bioelectrodes, biomaterials, neural networks, etc.) that will also be of interest to other scientists and engineers. Examples and exercises show that with only a small change in notation and perspective, fractional calculus extends many of the modelling capabilities of conventional calculus and integer order differential equations. Combining an engineer's approach to fractional calculus, largely through using the Laplace transform, with examples taken from a variety of biomedical applications, this book will help new students learn to use the techniques of fractional calculus.