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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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★★★★★ 4
Pieces chewed off
Color: white & green
My Aussiedoodle loves it. I throw it down the hallway, it bounces crazy, and he chases it. The only complaint is that he can't chew much of the ball part. So now I have to have it put away and brought out for special playtime.
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Reviewed in the United States on April 9, 2026
★★★★★ 5
Heavy chewer approved.
Style: Ball, Size: Medium (Pack of 1)
My pomsky will destroy a toy in minutes. Ropes, and the "indestructible" nylon type stuffs are no match for my furry shark. This ball has stood up to him like David. He loves the crunch and it is so much more tolerable than a squeaker. These will be a staple in his toy box - Chuckit toys are really the most durable dog toys I have found in three years.
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Reviewed in the United States on April 26, 2026
★★★★★ 5
Fun Ball
Style: Ball, Size: Medium (Pack of 2)
Great new ball for our pup. He loves the sound of the crunch!
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Reviewed in the United States on May 25, 2026
★★★★★ 5
Durability
Style: Ball, Size: Medium (Pack of 2)
My dog loves these balls!
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Reviewed in the United States on May 25, 2026
★★★★★ 5
Dogs love them
Style: Ball, Size: Medium (Pack of 2)
Our dogs love these. What’s great is that you can add more plastic (like from water bottles) if the plastic starts to fall out from the center. If you have a chewer, though, these won’t last you long. Our shepherd mix loves these and then starts to pull the rubber apart the more she plays with it. Our other dogs treat it normally, though, and those ones last forever. They also get some decent height when bounced, and they make a unique whistling noise when thrown.
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Reviewed in the United States on November 17, 2025