TABLE OF CONTENTS

COVER PAGE

COPYRIGHT

DEDICATION

PREFACE

INTRODUCTION

1. THE PASCAL TRIANGLE ......................................1 

2. THE FIBONACCI AND LUCAS NUMBERS..........................11 3. FACTORIALS...............................................17 4. ARITHMETIC AND GEOMETRIC PROGRESSIONS....................20 5. MATHEMATICAL INDUCTION...................................28 6. THE BINOMIAL THEOREM.....................................40 7. COMBINATIONS AND PERMUTATIONS............................51 8. POLYNOMIAL EQUATIONS.....................................60 9. DETERMINANTS.............................................74 10. INEQUALITIES...........................................101 ANSWERS TO THE ODD-NUMBERED PROBLEMS.......................118

INDEX......................................................126

 
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Wednesday, June 24, 1998