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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
Your dog will love them !!
Flavor Name: Boy, Size: 8 Count (Pack of 1)
Awesome! So cute!! My birthday boy enjoyed them !!! He turned 14 !!! 💙💙💙
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Reviewed in the United States on February 22, 2026
★★★★★ 5
Picky dog approved!
Flavor Name: Boy, Size: 8 Count (Pack of 1), Flavor Name: Boy, Size: 8 Count (Pack of 1)
My elder beagle generally doesn’t like cookie or biscuit type of treats. He prefers soft bacon types. I ordered these for his doggy 12 year birthday so his attending “friends” could all share the treats. I wasn’t expecting him to eat it, but wanted the set for the occasion. He took a sniff and immediately took the treat and ate it. He loved it as did the other dogs (one of those also a “picky treat eater” All of the dogs loved them. I will definitely be ordering again for special occasions.
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Reviewed in the United States on February 14, 2026
★★★★★ 4
Pretty but crumbled to bits.
Flavor Name: Boy, Size: 8 Count (Pack of 1)
These birthday doggy bones were pretty to look at and they smelled good. However, each bone was tightly shrink wrapped and very difficult to open. Not one came out whole and most just crumbled so thoroughly there wasn’t a piece big enough to hand to my dog. So, not a win.
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Reviewed in the United States on April 5, 2026
★★★★★ 5
dogs loved them
Flavor Name: Boy, Size: 8 Count (Pack of 1)
great for dogs birthday - great to share with other dogs
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Reviewed in the United States on March 7, 2026
★★★★★ 5
My dog loved these!
Flavor Name: Boy, Size: 8 Count (Pack of 1), Flavor Name: Boy, Size: 8 Count (Pack of 1)
My dog loved these birthday treats! They were so cute.
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Reviewed in the United States on January 19, 2026