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Description
The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary MathematicsThis book contains 320 unconventional problems in algebra, arithmetic, elementary number theory, and trigonometry. Most of the problems first appeared in competitive examinations sponsored by the School Mathematical Society of the Moscow State University and the Mathematical Olympiads held in Moscow. Although most of the problems presuppose only high school mathematics, they are not easy; some are of uncommon difficulty and will challenge the
This book contains 320 unconventional problems in algebra, arithmetic, elementary number theory, and trigonometry. Most of the problems first appeared in competitive examinations sponsored by the School Mathematical Society of the Moscow State University and the Mathematical Olympiads held in Moscow. Although most of the problems presuppose only high school mathematics, they are not easy; some are of uncommon difficulty and will challenge the ingenuity of any research mathematician. Nevertheless, many are well within the reach of motivated high school students and even advanced seventh and eighth graders.The problems are grouped into twelve separate sections. Among these are: the divisibility of integers, equations having integer solutions, evaluating sums and products, miscellaneous algebraic problems, the algebra of polynomials, complex numbers, problems of number theory, distinctive inequalities, difference sequences and sums, and more.
Complete solutions to all problems are given; in many cases, alternate solutions are detailed from different points of view. Solutions to more advanced problems are given in considerable detail. Moreover, when advanced concepts are employed, they are discussed in the section preceding the problems. Useful in a variety of ways in high school and college curriculums, this challenging volume will be of particular interest to teachers dealing with gifted and advanced classes.
Binding Type: Paperback
Publisher: Dover Publications
Published: 09/28/1993
ISBN: 9780486277097
Pages: 480
Weight: 1.03lbs
Size: 8.76h x 5.16w x 0.90d
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Holding up well.
Pattern Name: Checkered
Seems to be holding up to my aggressive chewer. I have it hanging from a tree branch and she loves leaping to get it! Buying another pair so she has a greater selection around the backyard.
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Reviewed in the United States on April 3, 2026
★★★★★ 5
Good quality
Pattern Name: Checkered
10/10 my dog lovessss and she chews through everything but they last daily tug of war, I don’t let her sit and chew on it thought I only use it outside
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Reviewed in the United States on May 28, 2026
★★★★★ 1
Cheap Never again
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Cheap product. Returned immediately. My shitzu is over a year & a similar toy from the Dollar Tree lasted longer than 6 months. This item lasted 1 hour of receiving.
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Reviewed in the United States on March 14, 2025
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My doggy no like!
Pattern Name: Star
My dog completely ignored them.
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Reviewed in the United States on April 3, 2026
★★★★★ 5
Fun toy
Pattern Name: Checkered
This was a very fun toy but didn't last too long with our 1-year-old lab who is an aggressive chewer.
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Reviewed in the United States on April 27, 2026