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Winning Solutions

  • Edward Lozansky
  • Cecil Rousseau

Part of the Problem Books in Mathematics book series (PBM)

Table of contents

  1. Front Matter
    Pages i-x
  2. Edward Lozansky, Cecil Rousseau
    Pages 1-72
  3. Edward Lozansky, Cecil Rousseau
    Pages 73-139
  4. Edward Lozansky, Cecil Rousseau
    Pages 141-213
  5. Back Matter
    Pages 215-245

About this book

Introduction

Problem-solving competitions for mathematically talented sec­ ondary school students have burgeoned in recent years. The number of countries taking part in the International Mathematical Olympiad (IMO) has increased dramatically. In the United States, potential IMO team members are identified through the USA Mathematical Olympiad (USAMO), and most other participating countries use a similar selection procedure. Thus the number of such competitions has grown, and this growth has been accompanied by increased public interest in the accomplishments of mathematically talented young people. There is a significant gap between what most high school math­ ematics programs teach and what is expected of an IMO participant. This book is part of an effort to bridge that gap. It is written for students who have shown talent in mathematics but lack the back­ ground and experience necessary to solve olympiad-level problems. We try to provide some of that background and experience by point­ out useful theorems and techniques and by providing a suitable ing collection of examples and exercises. This book covers only a fraction of the topics normally rep­ resented in competitions such as the USAMO and IMO. Another volume would be necessary to cover geometry, and there are other v VI Preface special topics that need to be studied as part of preparation for olympiad-level competitions. At the end of the book we provide a list of resources for further study.

Keywords

Combinatorics Pigeonhole principle algebra diophantine equation polynomial

Authors and affiliations

  • Edward Lozansky
    • 1
  • Cecil Rousseau
    • 2
  1. 1.National Science Teacher’s AssociationUSA
  2. 2.The University of MemphisMemphisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-4034-1
  • Copyright Information Springer-Verlag New York 1996
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94743-3
  • Online ISBN 978-1-4612-4034-1
  • Series Print ISSN 0941-3502
  • Buy this book on publisher's site