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Problem-Solving Strategies

  • Arthur Engel

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Pages 25-37
  3. Pages 59-83
  4. Pages 117-159
  5. Pages 161-204
  6. Pages 205-220
  7. Pages 221-243
  8. Pages 245-269
  9. Pages 271-288
  10. Pages 289-360
  11. Pages 361-371
  12. Pages 373-395
  13. Back Matter
    Pages 397-403

About this book

Introduction

Problem-Solving Strategies is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", "problem of the month", and "research problem of the year" to their students, thus bringing a creative atmosphere into their classrooms with continuous discussions of mathematical problems. This volume is a must-have for instructors wishing to enrich their teaching with some interesting non -routine problems and for individuals who are just interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. Very few problems have no solutions. Readers interested in increasing the effectiveness of the book can do so by working on the examples in addition to the problems thereby increasing the number of problems to over 1300. In addition to being a valuable resource of mathematical problems and solution strategies, this volume is the most complete training book on the market.

Keywords

Problem-solving calculus equation function geometry mathematics proof

Authors and affiliations

  • Arthur Engel
    • 1
  1. 1.Institut für Didaktik der MathematikJohann Wolfgang Goethe-Universität Frankfurt am MainFrankfurt am Main 11Germany

Bibliographic information

  • DOI https://doi.org/10.1007/b97682
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98219-9
  • Online ISBN 978-0-387-22641-5
  • Series Print ISSN 0941-3502
  • Buy this book on publisher's site
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