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Problem-Solving Strategies (Problem Books in Mathematics) Corrected Edition

by Arthur Engel (Author)
4.4 4.4 out of 5 stars 64 ratings
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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.

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  1. ISBN-10
    0387982191
  2. ISBN-13
    978-0387982199
  3. Edition
    Corrected
  4. Publisher
    Springer
  5. Publication date
    December 12, 1997
  6. Part of series
    Problem Books in Mathematics
  7. Language
    English
  8. Dimensions
    6.1 x 0.94 x 9.17 inches
  9. Print length
    413 pages
  10. See all details
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  1. Problem-Solving Through Problems (Problem Books in Mathematics)
  2. Love and Math
  3. Putnam and Beyond
  4. A Concise Introduction to Pure Mathematics, Fourth Edition (Chapman Hall/Crc Mathematics)
  5. The Art of Problem Solving, Vol. 1: The Basics
  6. The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2009 Second Edition
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Editorial Reviews

About the Author

Product details

  • 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
  • Customer Reviews:
    4.4 4.4 out of 5 stars 64 ratings

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Arthur Engel

Arthur Engel

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Customer reviews

4.4 out of 5 stars
4.4 out of 5
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64 global ratings

Top reviews from the United States

Toñy Ampudia de la Puente
5.0 out of 5 stars Buen libro con muchos ejemplos
Reviewed in the United States on October 6, 2023
Verified Purchase
He aprendido mucho.
2 people found this helpful
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Abhi
5.0 out of 5 stars Great book to train for IMO but it is very tough!
Reviewed in the United States on February 23, 2013
Verified Purchase
This book must be your Bible if you are dead serious about IMO. It is not a good one to start with. Read about psychology of problem solving. I'd say 'Mathematical Problem Solving' by Alan Schoenfeld. 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.
7 people found this helpful
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Rakesh Kumar
4.0 out of 5 stars Great book but errors hurt
Reviewed in the United States on January 31, 2011
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My own field is computer science but love reading mathematics for its purity and occasional aha moments. This one I bought for my son at his request and I must admit that I was the first one to peruse through it. In my cursory reading I did enjoy going through each of the chapters. The author has a good command over his teaching style and he peppers it with thrilling anecdotes. It should definitely be seen on the desk of any serious mathematics student (at least at high school level). But I did also find some errors randomly and I wanted to exchange notes with others but sadly I could not find any site. Even springer does not have any errata listed for this book. Now that the book is out of the press, the publishers need to show some compassion for the buyers and issue an errata soon.
16 people found this helpful
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Johan
5.0 out of 5 stars Highly recommended
Reviewed in the United States on May 25, 2019
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When people ask me about my favorite books, I tell them about this one. It's a large collection of high quality material, densely packed, with clear introductory explanations, hundreds of interesting problems and insightful solutions to all problems provided.
One person found this helpful
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Victor
5.0 out of 5 stars A Classic for Olympiad Style Competitions
Reviewed in the United States on July 4, 2019
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I recommend this book to anyone who wants to taste the pleasure of solving math olympiad problems. A must-have book.
2 people found this helpful
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MJB
3.0 out of 5 stars A good book, but flawed
Reviewed in the United States on January 25, 2011
As other reviewers have noted, this book contains a wealth of material: techniques, examples, and problems that will introduce the reader to new concepts and/or hone their abilities. The problem sections at the end of each chapter alone are a boon for anyone studying for the "big" math competitions (IMO, Putnam, etc.), as they are extensive and include solutions.

The reason I am giving the book 3 stars instead of 5 is that it appears to me to contain a number of errors, and inaccuracies/ambiguities of language. To a mathematically mature reader these may not pose much of a problem, but to a less-seasoned problem solver they might be rather perplexing. If you fall into the latter category, I would suggest, as another reviewer recommended, that you have the ready assistance of a more experienced person.
7 people found this helpful
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Patient Shopper
5.0 out of 5 stars beautifully written
Reviewed in the United States on April 27, 2014
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Beautifully written classic problem solving text. Lots of engaging, ingenuous problems.

Yours truly,

Albert R. Meyer
Hitachi America Professor of Computer Science
Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology
6 people found this helpful
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Werner
4.0 out of 5 stars Good book to train for IMO
Reviewed in the United States on January 3, 2019
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+ solutions
- not all heuristics
- no subchapter of the heuristic generalize. The term generalize means in this book conjecture making. The book Problem Solving Through Problems by Loren C. Larson contains the subchapter of the heuristic generalize.
One person found this helpful
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Top reviews from other countries

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Jesus Isaias Hernandez Perez
5.0 out of 5 stars Entrena como ningún otro libro
Reviewed in Mexico on February 15, 2021
Verified Purchase
En este libro se presentan algunas de las estrategias más importantes para resolver problemas de matemáticas. No puede faltar en la biblioteca de todo estudiante de matemáticas. Este libro te entrena como ningún otro para competencias matemáticas de nivel bachillerato o las partes sin cálculo del Putnam
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Amazon Customer
5.0 out of 5 stars a classic book in mathematical olympiads!
Reviewed in the United Kingdom on July 30, 2016
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a classic book in mathematical olympiads !
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GRAZIANA GRESPAN
5.0 out of 5 stars Problem - Solving strategies
Reviewed in Italy on August 24, 2014
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Libro eccellente per gli amanti della matematica. Adatto non solo agli addetti, molto facile, fruibile, basta conoscere l'inglese, ma perfettamente comprensibile anche a chi non lo parla bene.
Ottima pubblicazione.
2 people found this helpful
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Alex
5.0 out of 5 stars Completo
Reviewed in Italy on January 12, 2013
Verified Purchase
Un "MUST" per tutti coloro che amano la matematica. Suddiviso molto bene, ma soprattutto con le soluzioni ai problemi proposti.
2 people found this helpful
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