Complete Pure Mathematics 1 for Cambridge International AS & A Level

Book Preface

This book has been written to cover the Cambridge International AS & A Level Mathematics (9709) syllabus, and is fully aligned to the syllabus.
In addition to the main curriculum content, you will find:
– Maths in real-life: showing how principles learned in this course are used in the real
world.
– Chapter introductions, which outline how each topic in the Cambridge 9709 syllabus is  used in real-life.
The book contains the following features:

Throughout the book, you will encounter worked examples and a host of rigorous exercises. The examples show you the important techniques required to tackle questions. The exercises are carefully graded, starting from a basic level and going up to exam standard, allowing you plenty of opportunities to practise your skills. Together, the examples and exercises put maths in a real-world context, with a truly international focus.

At the start of each chapter, you will see a list
of objectives that are covered in the chapter. These objectives are drawn directly from the Cambridge AS & A Level syllabus. Each chapter then begins with a Before you start section, which you should complete to ensure you have all the requisite skills for the chapter, and finishes with a Summary exercise and Chapter summary, ensuring that you fully understand each topic.

Each chapter contains key mathematical terms
to improve understanding, highlighted in colour, with full definitions provided in the Glossary of terms at the end of the book.

The answers given at the back of the book are concise. However, when answering exam-style questions, you should show as many steps
in your working as possible. All exam-style questions, as well as Paper A and Paper B have been written by the authors.

About the authors

Brian Western has over 40 years of experience in teaching Mathematics up
to A level and beyond, and is also a highly experienced examiner. He taught Mathematics and Further Mathematics, and was an assistant head teacher in a large state school. Brian has written and consulted on a number of Mathematics textbooks.

Jean Linsky has been a Mathematics teacher for over 30 years, as well as head of Mathematics in Watford, Hertfordshire, in the United Kingdom. She currently teaches A Level Mathematics in a large mixed state school. Jean has authored and consulted on numerous Mathematics textbooks, is a very experienced examiner and has delivered many training courses to Mathematics teachers.

James Nicholson is an experienced teacher of Mathematics at secondary level;
he has taught for 12 years at Harrow school and spent 13 years as Head of Mathematics in a large Belfast grammar school. He is the author of two A-level statistics texts, and editor of the Concise Oxford Dictionary ofMathematics. He has also contributed to a number of other sets of curriculum and assessment materials, is an experienced examiner and has acted as a consultant for UK government agencies on accreditation of new specifications.

James ran school workshops for the Royal Statistical Society for many years, and has been a member of the schools and Further Education Committee of the Institute of Mathematics and its Application since 2000, including six years as chair; and is currently a member of the Outer Circle group for the Advisory Committee on Mathematics Education. He has served as a Vice-President of the International Association for Statistics Education for four years, and is currently Chair of the Advisory Board to the International Statistical Literacy Project.

A note from the authors

The aim of this book is to help students prepare for the Pure 1 unit of the Cambridge International AS dy A Level Mathematics syllabus, though it may also be found to be useful in providing support material for other AS and A Level courses. The book contains a large number of practice questions, many of which are exam-style.
In writing the book we have drawn on our experiences of teaching Mathematics and Further Mathematics to A Level over the past 40 years as well as on our experience as
examiners.
We are grateful to Robert Linsky and Graham Carter for their support during the completion of this project and to the many colleagues and students we have worked with over the years.