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

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• Science & Math
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Problem-Solving Strategies (Problem Books in Mathematics) Corrected Edition

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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 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.

• ISBN-10 0387982191
• ISBN-13 978-0387982199
• Edition Corrected
• Publisher Springer
• Publication date December 12, 1997
• Part of series Problem Books in Mathematics
• Language English
• Dimensions 6.1 x 0.94 x 9.17 inches
• Print length 413 pages
• See all details

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• Publisher ‏ : ‎ Springer; Corrected edition (December 12, 1997)
• Language ‏ : ‎ English
• Paperback ‏ : ‎ 413 pages
• ISBN-10 ‏ : ‎ 0387982191
• ISBN-13 ‏ : ‎ 978-0387982199
• Item Weight ‏ : ‎ 2.82 pounds
• Dimensions ‏ : ‎ 6.1 x 0.94 x 9.17 inches
• #494 in Mathematics Study & Teaching (Books)
• #504 in Mathematics History
• #4,157 in Core

About the author

Arthur engel.

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