Richard Earl is currently Director of Undergraduate Studies in the Mathematical Institute, University of Oxford, and a Tutor in Mathematics at Worcester College. From 2003–13, he was Admissions Coordinator and Schools Liaison Officer in the department and has over a decade's experience setting the MAT (Oxford's Mathematics Admissions Test). He has won several teaching awards within the University for his teaching and lecturing. This book grew out of a residential week he ran for several years in Oxford for new students who had not had the chance to study Further Mathematics at A-Level.