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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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4.6 ★★★★★
Based on 30 reviews
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Product Reviews
★★★★★ 3
Why can't they just TALK to each other?!
Format: Kindle
The prologue to this book was bloody and violent. I actually started this book then put it away for several months as I found it not enjoyable. When I finally returned to the book, I pretty much skipped the prologue and went right in. There are a lot of holes in this story, a lot of repetitive sections, and several parts (mostly the whole book) where you just want the lead characters to talk to each other instead of being petty and jealous. Who the female lead is, is never really explained. The humans are considered weak, but the human kingdom is the one they fear, just really weird. I did finish the book and it was overall a good book, and I may actually read the second book to see if any questions are answered and holes in the story filled in. Don't take that as an endorsement, if it was a really good book I would be reluctant to read more as I wouldn't want the story ruined, but just being so-so, there is nothing to ruin and maybe the next will be better. If you're on the fence stay there until you run out of better options, then give it a go.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 25, 2025
★★★★★ 5
A Stellar Dark Romantasy Debut
Format: Kindle
4.5 ⭐️
Yet another stellar debut from a promising new indie author! This dark fantasy romance was a fast-paced, thrilling ride, brimming with high stakes action and slow burn romance. The story was refreshing and original, and I can’t wait to see what this author comes up with next.
There was just enough world building to keep the story interesting, without overtaking the entire story. And I was fully invested in these characters, both the major players and the supporting cast. I loved the sprinkling of humor and playful banter between the whole ensemble. Even though the book encompasses some darker themes, these moments of levity created a beautiful balance within the story.
I enjoyed the dynamic between Lena and Darius- there was a bit of an Insta-love situation, which can be tough trope for me to swallow. But they had some beautiful chemistry and banter, so it ended up all working for me. Still a lot of answers are left to be uncovered regarding Lena, which I’m sure will be addressed in the next book. Looking forward to seeing where everything goes, especially after the cliffhanger ending. 💀
All in all, an absolutely solid debut, and I am fully invested in this story. This author is definitely gonna make her mark in this genre.
✨Morally grey MMC
✨Strong FMC
✨Banter and humor
✨Touch her and 💀
✨Found family
✨Shifters & fae
✨Unique magic system
✨Dual POV
🌶️Slow burn that leads to spice (1.5)
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Reviewed in the United States on April 9, 2024
★★★★★ 4
Great Start to a new Series
Format: Kindle
I whipped right through book #1, and definitely finished the book eager for more. The main and supporting characters are all intriguing and well fleshed out. The humor, romance and action are all really well balanced. The one challenge I did feel the middle dragged a bit, a little repetitive with lots of wanting and talking about things but nothing happened until the end basically, but either way, I really enjoyed it!
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Reviewed in the United States on April 17, 2024
★★★★★ 5
One of the best debut novels I’ve read!
Format: Kindle
First, congratulations to Ella Dawes on an amazing book! You knocked it out of the park!
If you are looking for an action packed, 🌶️ 🌶️🌶️ story, this is the book for you.
Darius 🤤, the surly captain of the guard and an alpha at heart is to die for, battle scars and traumatic past and all.
Lena, is the fierce and strong FMC we all want to be. She’s string willed, without the needless stubbornness.
Fate has brought them together, whether they want things this way or not. The chemistry burning between Lena and Darius is undeniable, but can they set their differences aside and trust each other long enough to work together?
We’ve established the main characters are phenomenal but can we focus on the side characters for a bit? Griffin and Kace were so well written. I felt ai could be friends with them in real life.
The story is well written, the pacing was phenomenal and at times my heart hurt for the characters as if I knew them. This author just getting started guys, I cannot wait to see where she goes from here and how she continues to develop this world.
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Reviewed in the United States on April 2, 2024
★★★★★ 5
Great listen!
Format: Audiobook
I really enjoyed this audio book. Lead male character was a little too abusive for my liking, and that made me not root for the love match. But the story was interesting, and the voice actors did an amazing job.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 17, 2025
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