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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
Perfect size great color good quality
These sterling silver butterfly earrings are beautiful. Love the color. I have several pair of these. Quality is good price was great. Would recommend.
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Reviewed in the United States on April 27, 2025
★★★★★ 5
They are very nice.
I was pleasantly suprized at how they look. They are very pretty. If I bought them in a nice store I'm positive they would have cost me at least double.
One of my Granddaughters who is 14 going on 20 recently got her ears pierced. These will be a perfect size for her, with an added touch of class that only a cool Grandma can give.
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Reviewed in the United States on December 18, 2024
★★★★★ 4
Nicely made and pretty.
Very sweet pair of earrings. I bought blue and pink butterfly earrings. My daughter loves them. They are well made and just the right size for a young person. I will recommend them.
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Reviewed in the United States on February 5, 2025
★★★★★ 5
Good value
Love them! So light and pretty!
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Reviewed in the United States on September 7, 2025
★★★★★ 5
Beautiful earrings that work fantastically with multiple earlobe piercings
I was looking for smaller cute studs in garnet and these are amazing. I have four “regular” piercings going up my earlobes on each side into my cartilage so I prefer to have stud earrings that are small enough to not overlap and crowd, but also be super cute, and these did really well. Despite the size you could still clearly tell they were butterflies and marquise cut gemstones. Because they’re garnets and the marquise cut is slightly shallow for earring purposes, they’re not that DEEP red color people associate with a garnet, but they’re clearly garnets and the slightly brownish tinge from the shallower cuts actually set off my (dyed) red hair beautifully. If you’re more to chestnut brown or redheaded, it’ll probably work in your favor as well. Overall I would highly recommend these to anyone looking for a good pair of beautiful and playful gemstone earrings, and heavily recommend them for any adult with more than two lobe piercings that wants to do more than just plain gemstone round studs.
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Reviewed in the United States on February 12, 2020