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The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics (Dover Books on Mathematics) Paperback – September 28, 1993

by D. O. Shklarsky (Author), N. N. Chentzov (Author), I. M. Yaglom (Author),
4.2 out of 5 stars 16 customer reviews
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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 480 pages
  • Publisher: Dover Publications; 3 Revised edition (September 28, 1993)
  • Language: English
  • ISBN-10: 0486277097
  • ISBN-13: 978-0486277097
  • Product Dimensions: 0.8 x 5.5 x 8.5 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (16 customer reviews)
  • Amazon Best Sellers Rank: #323,349 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

23 of 24 people found the following review helpful
A Good Variety of Mind-Expanding Problems
By Jeff Barnes on July 26, 2003
Format: Paperback
This book consists of "320 unconventional problems in algebra, arithmetic, elementary number theory and trigonometry." The problems are mathematically accessible to students at the high school level or higher, as they call more upon analytical thinking than upon advanced mathematical techniques. There is a range of difficulties, with harder problems marked with stars in the book. (The hardest problems are marked with double stars.) The problems are divided into twelve sections: "Introductory Problems," "Alterations of Digits in Integers," "The Divisibility of Integers," "Some Problems from Arithmetic," "Equations Having Integer Solutions," "Evaluating Sums and Products," "Miscellaneous Problems from Algebra," "The Algebra of Polynomials," "Complex Numbers," "Some Problems of Number Theory," "Some Distinctive Inequalities," and "Difference Sequences and Sums." Much of the book is devoted to providing hints and solutions, which are both thorough and clear. This is a great resource for preparing for competition, for developing your analytical thinking, or just for having fun (that is, if you are the sort of person who finds solving math problems fun).
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8 of 8 people found the following review helpful
Good variety of problems
By A Customer on August 27, 2002
Format: Paperback
The reason I am giving 5 stars to this book is for its unique collection of problems. It has been very entertaining reading the book so far (I have not completed the book). There however are a few errors which can be easily figured out by the reader. The treatment of each problem is unique.
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9 of 10 people found the following review helpful
Excellent and fun book
By Dance Ham on February 21, 2006
Format: Paperback
This is a great resource for challenging math problems. After getting annoyed with newspaper "problem of the week" type books, this was a refreshing find. Don't let the "high school level" disclaimer fool you - there are some seriously difficult problems in here.

If you're the type to find logic and math problems fun, I would recommend dropping $15 for this text. It's well worth the time.
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8 of 9 people found the following review helpful
Very interesting book
By A Customer on February 12, 2001
Format: Paperback
I found this book very interesting, because it deals with many many problems of algebra and number theory. You can find many interesting and tough theorems (not all of them are widely known nor taught) with their demonstration. I particularily liked the section about "distinctive inequalities": it deals with a great number of inequalities and you can learn some new techniques for solving them. The book lacks of geometry, that's true (only some trig somewhere), but it gives (in my opinion) really a strong preparation on topics concerning algebra... try it!
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Excellent book
By William Schram on July 17, 2015
Format: Paperback Verified Purchase
This book contains a number of problems in Elementary Mathematics. I don't know what they mean by that, since most of the problems forced me to think a great deal, but maybe that is because my math is slightly rusty. However, this book also contains detailed solutions, so you aren't left hanging for anything. Some of the answers contain radicals and other numbers that are irrational, so maybe they mean that no calculus is involved in getting the answers.

In any case, the book clearly states the problem and numbers the problem so you can find the answer in the book. This is all I really ask for in a mathematics text; a way to see if I am right or not.
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Great book! I used it as training book in ...
By Luyang Li on March 15, 2015
Format: Paperback Verified Purchase
Great book! I used it as training book in childhood. I solved about half of them independently. I think it shapes my math background pretty well. Most important, it teaches me math and logic thinking skills by brilliant problems.
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dificult but intersting
By Frank on July 19, 2013
Format: Paperback
I have bought this book for years, but my kids just read several of them. They are really hard. Because over years my kids occasionally read pages from it. That worth the money I think.
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1 of 2 people found the following review helpful
The problems are interesting
By David Baldacci on December 26, 2012
Format: Paperback Verified Purchase
It is a problem and solution type of book. The organization is not ideal. The problems are not ordered by difficulties. There are some very difficult problems. The solutions are quite rigorous and mostly well explained. Probably nice for a teacher to use, not good for self study.

Almost all the problems are for algebra, which seems narrow for preparation for high school math Olympiad. From the forward, it is stated that they are for 8th and 9th graders in USSR, which probably explain the lack of Euclidean geometry.
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