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The Stanford Mathematics Problem Book: With Hints and Solutions (Dover Books on Mathematics) Paperback – February 19, 2009

by G. Polya (Author), J. Kilpatrick (Author)
4.7 out of 5 stars 18 customer reviews
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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 80 pages
  • Publisher: Dover Publications (February 19, 2009)
  • Language: English
  • ISBN-10: 0486469247
  • ISBN-13: 978-0486469249
  • Product Dimensions: 8.2 x 5.4 x 0.3 inches
  • Shipping Weight: 6.4 ounces (View shipping rates and policies)
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (18 customer reviews)
  • Amazon Best Sellers Rank: #19,845 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

56 of 58 people found the following review helpful
Puzzle book
By M. Ercolino on June 6, 2010
Format: Paperback Verified Purchase
This is an interesting little book for anyone who wants to bend their brain up for a little diversion or just for fun. This book is based on a test that was given to high school students to award the best a chance at a scholarship to college. This is the complete battery of problems that was given (I think minus one or two years that could not be found) to high school students in several schools. Although the problems are "high school level", it is immediately obvious that the level of problems given during this testing was a little more advanced from what is today perceived as high school mathematics.

Very enjoyable book for stretching your mind.
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35 of 39 people found the following review helpful
Worth having but not a book to learn problem solving
By ScienceThinker on May 27, 2012
Format: Paperback Verified Purchase
The collection of problems is complete. The Stanford examination started in 1946 and ended in 1965. All exams are collected in the book; none is missing. The problems appear harder than traditional high school problems for two reasons: First they are based on what a student should be known by the end of his/her high school studies, not what he/she was taught during these years. Second, the problems are written to check the aptitude of students in mathematics, not if they can carry out routine calculations. Therefore, high school students from countries where the curriculum is rigorous and robust will recognize problems based on the material they have been taught although the problems may not be exactly the ones they have solved as homework. (Some of these problems can often be encountered as advanced-level problems in such rigorous curricula.) Students countries where the system is looser regarding the mathematical curriculum can find these problem quite challenging, unless the students have an interest in mathematics and math competitions.

The book is just a collection of problems. It contains hints for those who want to try to solve them on their own. It also contains the solutions for those who do not want to try them or tried and failed to solve them. However, it contains nothing else. No related theory and no methodology. It is a very cheap book and worth having but you should not expect it to serve as a tutorial book that teaches problem-solving techniques.
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8 of 10 people found the following review helpful
Great book of problems
By Betholwen on November 27, 2012
Format: Paperback Verified Purchase
My 17 year-old son loves this book so much, that when his bookbag was stolen from his locker during gym he asked me to replace this book! He's on a math team, and they work on problems like this all the time. It must be good!
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1 of 1 people found the following review helpful
Challenging, top-notch, and original
By Sasha Alyson on June 1, 2015
Format: Kindle Edition Verified Purchase
You would expect a book with this pedigree to be good, and it is.

From 1946 to 1965, Stanford University gave high school students a chance to win a scholarship by taking a difficult math test, with just four questions. This book collects those questions, and their answers. The subject matter varies, including algebra, geometry, and trigonometry.

Most notably, the questions try to measure not achievement, but aptitude. They require a sound foundation of learning, but also original thinking or a flash of insight. The first question in each set is easiest; a sharp high school student would probably have a reasonable shot at answering it. Then the questions get more difficult. I found it to be a fascinating and enjoyable collection, even when that flash of insight eluded me. Months after I bought it, I still open it occasionally and try a new problem.
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1 of 1 people found the following review helpful
quite challenging, more so than most puzzle books. ...
By AAJN on August 21, 2014
Format: Paperback Verified Purchase
quite challenging, more so than most puzzle books. At least for me, a pencil and paper are necessary for this.
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2 of 3 people found the following review helpful
Good Thinking Problems
By C. Locheiven on September 21, 2014
Format: Paperback Verified Purchase
These are great challenge problems to give to high school students at Algebra II and above.
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2 of 5 people found the following review helpful
this is not a big book of math questions.
By travel light and smiling on November 25, 2014
Format: Paperback Verified Purchase
This is a short book of problems presented to college-bound seniors by Stanford. I was looking for a larger book with more problems, but it does have an interest as to the depth of questions presented.
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0 of 2 people found the following review helpful
Five Stars
By George J. Kalarickal on January 10, 2015
Format: Paperback Verified Purchase
Delivered as advertised.
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