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
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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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Includes bibliographical references (p. [397]-398) and index.
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Problem-Solving Strategies
Arthur engel.
413 pages, Paperback
First published December 12, 1997
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COMMENTS
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 ...
Arthur Engel Problem-Solving Strategies With 223 Figures 13 A-PDF Merger DEMO : Purchase from www.A-PDF.com to remove the watermark. Angel Engel Institut f¨ur Didaktik der Mathematik Johann Wolfgang Goethe-Universit¨at Frankfurt am Main Senckenberganlage 9-11 60054 Frankfurt am Main 11
You may be offline or with limited connectivity. ... ...
Problem-solving strategies Bookreader Item Preview ... Engel, Arthur. Publication date 1998 Topics Problem solving Publisher New York : Springer Collection inlibrary; printdisabled; internetarchivebooks ... Pdf_module_version 0.0.23 Ppi 360 Rcs_key 24143 Republisher_date ...
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 ...
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
Arthur Engel. Springer Science & Business Media, May 11, 1999 - 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.
We present our first Higher Problem-Solving Strategy. It is extremely useful in solving certain types of difficult problems, which are easily recognizable. We will teach it by solving problems which use this strategy. In fact, problem solving can be learned only by solving problems. But it must be supported by strategies provided by the trainer.
Problem Solving Strategies- Arthur Engel - Free ebook download as PDF File (.pdf) or read book online for free. Scribd is the world's largest social reading and publishing site.
Arthur Engel. Springer India, 2003 - Problem solving - 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. It is written for trainers and participants ...
Problem-Solving Strategies - Ebook written by Arthur Engel. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Problem-Solving Strategies.
November 25, 2020. Edited by MARC Bot. import existing book. April 1, 2008. Created by an anonymous user. Imported from Scriblio MARC record . Problem-solving strategies by Arthur Engel, 1998, Springer edition, in English.
Problem-Solving Strategies Engel - Free ebook download as PDF File (.pdf) or read book online for free. Scribd is the world's largest social reading and publishing site.
Download as PDF; Printable version Engel in 1978. Arthur Engel (12 January 1928 ... An IMO sets six problems for the participants to solve. Two of the 1979 problems were proposed by Engel, and one in each of 1981, 1983, 1986 and 1987. ... Engel's 1998 Problem-Solving Strategies has been described as the "most complete training book available ...
We present our rst Higher Problem-Solving Strategy. It is extremely useful in solvingcertaintypesofdif cultproblems,whichareeasilyrecognizable.Wewill teach it by solving problems which use this strategy. In fact, problem solving can be learned only by solving problems. But it must be supported by strategies provided by the trainer.
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.
These problems are taken from the textbook, from Engel's Problem solving strategies, from Ravi Vakil's Putnam seminar notes and from Po-Shen Loh's Putnam seminar notes. The Idea Often one has to show that a particular con guration is not possible, or that a con guration
Paul Zeitz has written a fantastic book which speaks a lot about psychology of problem solving quite a bit. This book lacks in that department; however, this book is simply the best book out there for someone trying to prepare for the Olympiad and has already been preparing for it with other more easy books.
Arthur Engel. 4.48. 168 ratings15 reviews. 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 ...
Getting Started. Getting Started with Competition Math, a textbook meant for true beginners (on-target middle school students, or advanced elementary school students). It is written by AoPS Community Member cargeek9, currently a junior in high school. It covers the basics of algebra, geometry, combinatorics, and number theory, along with sets ...
Arthur Engel. Springer New York, Sep 20, 2013 - 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.
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.
2 problem-solving-strategies-arthur-engel and consistently motivated by attractive appetiser problems, whose solution appears after the relevant theory has been expounded. Each chapter is presented as a toolchest of instruments designed for cracking the problems collected at the end of the chapter.
abling problem-solving for problems ranging ≥ 100 bi-nary variables. This scalability advantage is particularly significant as QAOA encounters challenges with errors stemming from its high qubit and memory demands at such scales. Moreover, our study demonstrates that by integrat-ing the classical technique of Linear Relaxation, we can