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USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics Paperback – 28 September 1993

by D. O. SHKLARSKY (Author)
4.6 4.6 out of 5 stars 82 ratings
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Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 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.
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Previous page
  1. Part of series
    Dover Books on Mathematics
  2. Print length
    480 pages
  3. Language
    English
  4. Publisher
    Dover Publications
  5. Publication date
    28 September 1993
  6. Dimensions
    13.11 x 2.29 x 22.25 cm
  7. ISBN-10
    9780486277097
  8. ISBN-13
    978-0486277097
  9. See all details
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USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics
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Product details

  • ASIN ‏ : ‎ 0486277097
  • Publisher ‏ : ‎ Dover Publications; 3rd Revised ed. edition (28 September 1993)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 480 pages
  • ISBN-10 ‏ : ‎ 9780486277097
  • ISBN-13 ‏ : ‎ 978-0486277097
  • Dimensions ‏ : ‎ 13.11 x 2.29 x 22.25 cm
  • Customer Reviews:
    4.6 4.6 out of 5 stars 82 ratings

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D. O. Shkli︠a︡rskiĭ

D. O. Shkli︠a︡rskiĭ

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4.6 out of 5 stars
4.6 out of 5
82 global ratings

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Jesus Isaias Hernandez Perez
5.0 out of 5 stars EXELENTE
Reviewed in Mexico on 20 October 2019
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Excelente
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Upendranath Barman
5.0 out of 5 stars It's for the Mathematicians
Reviewed in India on 27 December 2020
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Excellent collection to have
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Amazon Customer
5.0 out of 5 stars Como sempre...a Matemática Soviética
Reviewed in Brazil on 22 September 2017
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Este livro é um exemplo do que era a União Soviética em seus tempos de de ouro da Matemática. Sou professor Universitário e tenho usado este livro como problemas de pré-cálculo. Problemas interessante e soluções detalhadas.
7 people found this helpful
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土居健造
5.0 out of 5 stars 雙葉中学受験対策に最適の一冊！
Reviewed in Japan on 18 February 2024
Verified Purchase
過去問研究に最適な参考書が本書です！！
最新事例から説明します。
雙葉2024算数大問1小問2の出題意図やその背景を探るには本書の30ページの問題132問と解答の231ページ以下を熟読吟味することが必須です。
雙葉の問題では本書の30ページ問題132問小問(a)がほとんどそのまま出題されているのですが、これだけではやや出題意図は図りかねます。
ところが、小問(a)は、小問(b)や(c)を類推すれば、「1分の1×（1×1分の1－1×2分の1）」と展開できるのです。塾テキストなどでは「1分の1×」が省略されイマイチな解説となります。
ところが、小問(b)の「2分の1×」や小問(c)の「3分の1×」と並べると、感動的なほどきれいな数式になります。
本書を活用し、過去問研究にまい進され、見事合格を勝ち取られることを祈念しております！
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D.L
5.0 out of 5 stars Five Stars
Reviewed in Canada on 21 October 2015
Verified Purchase
Nice book if you're into math problems.
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