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Title: The USSR Olympiad Problem Book : Selected Problems and Theorems of Elementary Mathematics by I. M. Yaglom, D. O. Shklarsky, N. N. Chentzov ISBN: 0-486-27709-7 Publisher: Dover Pubns Pub. Date: 28 September, 1993 Format: Paperback Volumes: 1 List Price(USD): $15.95 |
Average Customer Rating: 4.43 (7 reviews)
Rating: 5
Summary: A Good Variety of Mind-Expanding Problems
Comment: 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).
Rating: 5
Summary: Good variety of problems
Comment: 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.
Rating: 4
Summary: Very interesting book
Comment: 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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Title: Challenging Mathematical Problems With Elementary Solutions, Vol. 1 by A. M. Yaglom, I. M. Yaglom ISBN: 0486655369 Publisher: Dover Pubns Pub. Date: 01 December, 1987 List Price(USD): $9.95 |
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Title: Challenging Problems in Algebra by Alfred S. Posamentier, Charles T. Salkind ISBN: 0486691489 Publisher: Dover Pubns Pub. Date: 21 May, 1996 List Price(USD): $11.95 |
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Title: Challenging Problems in Geometry by Alfred S. Posamentier, Charles T. Salkind ISBN: 0486691543 Publisher: Dover Pubns Pub. Date: 21 May, 1996 List Price(USD): $12.95 |
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Title: The Red Book of Mathematical Problems by Kenneth Hardy, Kenneth S. Williams ISBN: 0486694151 Publisher: Dover Pubns Pub. Date: 29 November, 1996 List Price(USD): $8.95 |
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Title: Mathematical Olympiad Challenges by Titu Andreescu, Razvan Gelca ISBN: 0817641556 Publisher: Birkhauser Boston Pub. Date: 26 April, 2000 List Price(USD): $29.95 |
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