101 PROBLEMS IN ALGEBRA

101 PROBLEMS IN ALGEBRA

• FROM THE TRAINING OF THE USA IM0 TEAM
• Chairman: GRAHAM H POLLARD, Canberra AUSTRALIA
• Editor: PETER J TAYLOR, Canberra AUSTRALIA
• WARREN J ATKINS, Canberra AUSTRALIA
• ED J BARBEAU, Toronto CANADA
• GEORGE BERZSENYI, Terra Haute USA
• RON DUNKLEY, Waterloo CANADA
• WALTER E MIENTKA, Lincoln USA
• NIKOLAY KONSTANT1NOV, Moscow RUSSIA
• ANDY Liu, Edmonton CANADA
• JORDAN B TABOV, Sofia BULGARIA
• JOHN WEBB, Cape Town SOUTH AFRICA

books in this series are selected for their motivating, interesting and stimulating sets of quality problems, with a lucid expository style in their solutions. Typically, the problems have occurred in either national or international contests at the secondary school level.
They are intended to be sufficiently detailed at an elementary level for the mathematically inclined or interested to understand but, at the same time, be interesting and sometimes challenging to the undergraduate and the more advanced mathematician. It is believed that these mathematics competition problems are a positive influence on the learning and enrichment of mathematics.

CONTENTS

• PREFACE vii
• INTRODUCTION ix
• ACKNOWLEDGEMENTS xi
• ABBREVIATIONS AND NOTATIONS xiii
• 1. INTRODUCTORY PROBLEMS 1
• 2. ADVANCED PROBLEMS 13
• 3. SOLUTIONS TO INTRODUCTORY PROBLEMS 27
• 4. SOLUTIONS TO ADVANCED PROBLEMS 65
• GLOSSARY 131
• FURTHER READING 137