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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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★★★★★ 5
Durable
Color: Yellow
My dogs like these. You can put a liquid or paste treat in the area that is like a bowl. Very durable
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Reviewed in the United States on April 4, 2026
★★★★★ 5
Great product
Color: Brown
I like this product because my dogs can go through some toy’s but have yet to destroy these one’s
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Reviewed in the United States on April 3, 2026
★★★★★ 3
It's a sturdy chew toy
Color: Red
Definitely sturdy for a hearty chewer, but my dog wasn't that interested in it. For a treat I spread some peanut butter on it and the design has grooves so she spends some time licking the peanut butter. And it comes with 3 good size chew toys, so cheap enough to try and your dog might love them. Taking out of packing they did have that meat smell as advertised
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Reviewed in the United States on May 21, 2026
★★★★★ 5
Great toy for aggressive chewers
My dog loves this toy! Every toy she gets she DESTROYS! Not this one.
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Reviewed in the United States on June 3, 2026
★★★★★ 4
Dog chews
Color: Red
Prefer natural products but sometimes hard to get but the dogs loved them.
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Reviewed in the United States on April 16, 2026