This book is written for students of A-level Further Mathematics, and it is also a useful text for some college and university courses. It aims to be accessible to students who have only limited access to a teacher, and to this end, answers are given more fully than usual. Many questions require proofs, and the answers given to these will be found especially useful. In addition to ample practice exercises after each section, there is a 'miscellaneous exercise' at the end of each chapter which encourages students to explore beyond the scope of the text.