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Problem Solving Strategies

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problem solving strategies arthur engel pdf

Book cover

Problem-Solving Strategies

  • © 1998
  • Arthur Engel 0

Institut für Didaktik der Mathematik, Johann Wolfgang Goethe-Universität Frankfurt am Main, Frankfurt am Main 11, Germany

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  • The most complete training book on the market
  • A must-have for instructors wishing to enrich their teaching with interesting non-routine problems
  • Provides individuals with a wide array of interesting, challenging problems
  • Each chapter starts with typical examples illustrating the central concepts, followed by carefully selected problems and their solutions
  • Very few problems have no solutions

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

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Table of contents (14 chapters)

Front matter, the invariance principle, coloring proofs, the extremal principle, the box principle, enumerative combinatorics, number theory, inequalities, the induction principle, polynomials, functional equations, further strategies, back matter.

  • Problem-solving
  • mathematics

About this book

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.

Authors and Affiliations

Arthur Engel

Problem-solving strategies

By arthur engel.

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Book Details

Published in, edition notes.

Includes bibliographical references (p. [397]-398) and index.

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Cover of: Mathematics

  • Created April 1, 2008
  • 23 revisions

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Resources for mathematically gifted students Tutorials in Algebra, Number Theory, Combinatorics and Geometry The aim of this section is, in the series of tutorials, to cover the material of the unwritten syllabus of the IMO, more precisely that part of it which is not in the school curriculum of most participating countries.

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    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 ...

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  4. Problem-Solving Strategies

    About this book. 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 ...

  5. PDF Problem-Solving Strategies

    Arthur Engel Problem-Solving Strategies With 223 Figures ^y Springer. Contents Preface v Abbreviations and Notations ix 1 The Invariance Principle 1 2 Coloring Proofs 25 3 The Extremal Principle 39 4 The Box Principle 59 5 Enumerative Combinatorics 85 6 Number Theory 117 7 Inequalities 161

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    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 ...

  13. [PDF] Problem-Solving Strategies

    Problem-Solving Strategies. A. Engel. Published 11 May 1999. Mathematics. 1 The Invariance Principle 2 Coloring Proofs 3 The Extremal Principle4 The Box Principle 5 Enumerative Combinatorics 6 Number Theory 7Inequalities 8 The Induction Principle 9 Sequences 10 Polynomials 11Functional Equations 12 Geometry 13 Games 14 Further Strategies.

  14. Problem-Solving Strategies by Arthur Engel (ebook)

    A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this 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 ...

  15. Arthur Engel (mathematician)

    Download as PDF; Printable version ... Engel in 1978. Arthur Engel (12 January 1928 - 11 November 2022) was a German mathematics teacher, educationalist and prolific author. His work has been translated into several languages. ... Engel's 1998 Problem-Solving Strategies has been described as the "most complete training book available for ...

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  17. Art of Problem Solving

    USAMO 1972-1986-- Problems from the United States of America Mathematical Olympiad. The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004; Mathematical Olympiad Challenges; Problem Solving Strategies by Arthur Engel. Problem Solving Through Problems by Loren Larson. Hungarian Problem Book III

  18. Problem-Solving Strategies

    Arthur Engel. Springer Science & Business Media, Jan 19, 2008 - Mathematics - 403 pages. 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.

  19. Arthur Engel Problem Solving Strategies Problem Book Fi org

    Resources for mathematically gifted students Tutorials in Algebra, Number Theory, Combinatorics and Geometry The aim of this section is, in the series of tutorials, to cover the material of the unwritten syllabus of the IMO, more precisely that part of it which is not in the school curriculum of most participating countries.

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