Pure Mathematics (Longman Exam Guides)

CONTENTS Examination techniques Functions and graphs Rational functions Quadratic functions Permutations Combinations Series Exponential functions Logarithmic functions Trigonometry Differentiation Integration Differential equations Vectors Coordinate geometry Complex numbers Written by two highly experienced examiners, each having served as Chief Examiner at A level for over fifteen years, the book has been devised as a guide to the common core topics at A' level, Scottish Higher and BTEC, and will also be useful to first year undergraduates in a range of engineering, technology and science based courses. Each chapter of the book deals with a separate topic and contains, in compact form, all the essential theoretical facts. These facts provide a comprehensive summary of all that the reader requires in order to master that topic area, and are illustrated by carefully chosen examples. The unique feature of this book is that the solutions provided to past questions are subjected to a critical commentary, running alongside the main argument. This helps the student in three it explains the important steps; it outlines alternative methods where applicable, and it points out the likely errors and misconceptions. Tony Bridgeman. BSc. PhD, is Senior Lecturer in Mathematics at the University of Liverpool. He is Chief Examiner for a major A' level board and an examiner for various other boards. Gordon Baldock, BSc, PhD, is a former Lecturer in the same department. He is Chief Examiner for a major A level board and an examiner for various other boards. Title Clare Bigg, MA, is an experienced teacher in Mathematics, having taught at the Queens School, Chester, and Carlton-le-Willows Comprehensive school in Nottingham.