problem solving strategies arthur engel

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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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.

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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, authors and affiliations.

Arthur Engel

About the author

Bibliographic information.

Book Title : Problem-Solving Strategies

Authors : Arthur Engel

Series Title : Problem Books in Mathematics

DOI : https://doi.org/10.1007/b97682

Publisher : Springer New York, NY

eBook Packages : Springer Book Archive

Copyright Information : Springer-Verlag New York 1998

Softcover ISBN : 978-0-387-98219-9 Published: 12 December 1997

eBook ISBN : 978-0-387-22641-5 Published: 19 January 2008

Series ISSN : 0941-3502

Series E-ISSN : 2197-8506

Edition Number : 1

Number of Pages : X, 403

Topics : Mathematics, general

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Problem-Solving Strategies (Problem Books in Mathematics)

Description.

This book is written for trainers and participants of mathematical contests of all kinds up to the highest level of international competitions, including the IMO and the Putnam Competition. It is also written for high school teachers who are conducting a mathematics club and are looking for ideas and problems for their club; for teachers who want to pose "the problem of the week", "the problem of the month", "the research problem of the year"; and for regular high school teachers who are just looking for ideas to enrich their teaching by some interesting nonroutine problems.

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Problem-solving strategies

By arthur engel.

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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 nonroutine problems and for individuals who are just interested in solving difficult and challenging problems.

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

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Problem-Solving Strategies Paperback – 12 December 1997

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 1998th
• Publisher Springer
• Publication date 12 December 1997
• Part of series Problem Books in Mathematics
• Language English
• Dimensions 15.49 x 2.39 x 23.29 cm
• Print length 413 pages
• See all details

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• Publisher ‏ : ‎ Springer; 1998th edition (12 December 1997)
• Language ‏ : ‎ English
• Paperback ‏ : ‎ 413 pages
• ISBN-10 ‏ : ‎ 0387982191
• ISBN-13 ‏ : ‎ 978-0387982199
• Dimensions ‏ : ‎ 15.49 x 2.39 x 23.29 cm
• 285 in Mathematics Study & Teaching (Books)
• 352 in History of Mathematics
• 807 in Quizzes (Books)

About the author

Arthur engel.

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Problem Solving Strategies (Problem Books in Mathematics) Paperback – 23 May 2008

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• ISBN-10 1493970755
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• Publisher ‏ : ‎ Springer; First Edition (23 May 2008)
• Language ‏ : ‎ English
• Paperback ‏ : ‎ 403 pages
• ISBN-10 ‏ : ‎ 1493970755
• ISBN-13 ‏ : ‎ 978-1493970759
• Item Weight ‏ : ‎ 570 g
• Country of Origin ‏ : ‎ India
• #26 in Mathematics (Books)

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Customers find the book suitable for Olympiad-aimed students. They also say the problems are very clear and the book is well worth the price.

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Customers find the book suitable for math aspirants and olympiad-aimed students. They also say it's good for regional mathematical oympial and international level.

"... Very Good for Regional Mathematical olympiad , then to inmo and proceeding towards international level of excellence." Read more

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Problem-Solving Strategies Paperback – Illustrated, Dec 12 1997

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• ISBN-10 0387982191
• ISBN-13 978-0387982199
• Edition 1st ed. 1998. Corr. 2nd printing 1999
• Publisher Springer
• Publication date Dec 12 1997
• Part of series Problem Books in Mathematics
• Language English
• Dimensions 15.49 x 2.39 x 23.29 cm
• Print length 413 pages
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• Publisher ‏ : ‎ Springer; 1st ed. 1998. Corr. 2nd printing 1999 edition (Dec 12 1997)
• Language ‏ : ‎ English
• Paperback ‏ : ‎ 413 pages
• ISBN-10 ‏ : ‎ 0387982191
• ISBN-13 ‏ : ‎ 978-0387982199
• Item weight ‏ : ‎ 590 g
• Dimensions ‏ : ‎ 15.49 x 2.39 x 23.29 cm
• #107 in Science Dictionaries
• #169 in Mathematics Study & Teaching
• #803 in Mathematics Textbooks

About the author

Arthur engel.

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This book is written for trainers and participants of mathematical contests of all kinds up to the highest level of international competitions, including the IMO and the Putnam Competition. It is also written for high school teachers who are conducting a mathematics club and are looking for ideas and problems for their club; for teachers who want to pose "the problem of the week", "the problem of the month", "the research problem of the year"; and... Read Full Overview

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