- Series: Problem Books in Mathematics
- Paperback: 403 pages
- Publisher: Springer (May 11, 1999)
- Language: English
- ISBN-10: 0387982191
- ISBN-13: 978-0387982199
- Product Dimensions: 6.1 x 0.9 x 9.2 inches
- Shipping Weight: 1.6 pounds (View shipping rates and policies)
- Average Customer Review: 4.4 out of 5 stars See all reviews (20 customer reviews)
- Amazon Best Sellers Rank: #409,315 in Books (See Top 100 in Books)
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Problem-Solving Strategies (Problem Books in Mathematics)
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Top Customer Reviews
I will list the chapters title and that should give good Idea about this excellent book.
The Invariance Principle;
The extremal Principle;
The Box Principle;
The Induction Principle;
Each chapter is full of sample exercises and end by around a 100 problems to solve making the total number of problems in the book to 1300. The problems are selected to illustrate techniques in difficult and non-routine problem solving using problems from past IMO, Tournament of the Towns non Calculus Putnam problems and National competitions from many countries.
Happy Problem Solving!
Wow! The problems in the book are extremely difficult but not impossible. I would recommend only buying this book if you have access to mathematics professor(s) who can help you understand these problems for the Putnam Competition or you have a committed group of friends who like math. It takes me hours to solves these problems but I love it!
In my experience, the best way for a fifth-rater like me to benefit from this book is to use it in conjunction with Mason, Burton, and Stacey's Thinking Mathematically. That book's purpose is to teach us that becoming "stuck" is an honorable condition, and that there are time-proven ways to "unstick" ourselves. (As well as to minimize the chances of becoming "stuck" in the first place.)
Engel's book certainly gives me plenty of opportunities to become well and truly stuck, and to then apply some of Mason et al.'s WD-40 to see if I can progress a little further. I follow all of their recommendations, and when I've solved the problem (or more frequently, given up for good!), I look up Engel's solution. Then, I review my own work to see what I overlooked, and why. I keep a notebook of this work to show my students.
The only thing I don't like about Engel's book is its emphasis on competition. But then, it's written especially for competitors in high-level math competitions.
In summary, I highly recommend this book, and if it ever "wanders off" I'll definitely buy it again, and promptly.
Most Recent Customer Reviews
The product is excellent. It is quite explanatory. The exercises have various levels of difficulty. Ideal for those who want to delve in solving math problems.Published 21 months ago by Diego Ponciano de Oliveira Lima
Beautifully written classic problem solving text. Lots of engaging, ingenuous problems.
Albert R. Read more
This is an advanced problem solving book with A LOT of exercises and their solutions. For those seeking a more "take you by the hand" approach, they should go with Zeitz.Published on September 16, 2013 by Daniel Nathan
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. Read morePublished on February 22, 2013 by Abhi
My own field is computer science but love reading mathematics for its purity and occasional aha moments. Read morePublished on January 31, 2011 by Rakesh Kumar
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... Read morePublished on January 24, 2011 by MJB
If you are hoping to learn new strategies, this may not be the book for you. Though there are explanations given, the teaching is not detailed enough to teach someone who is not... Read morePublished on April 17, 2010 by shirtless32
The main reason I like this book is because of the many wonderful problems it has. It is well organized and has solutions to all the problems, so it is excellent to train oneself... Read morePublished on April 17, 2010 by Enrique Treviño and Yuliia Glushchenko
Great book for math problems. Although high school level and there is no calculus, it still has great problems that touch up on important ideas.Published on August 30, 2008 by Julien Julien