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The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics

The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics
By D. O. Shklarsky, N. N. Chentzov, I. M. Yaglom

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Product Description

Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from the archives of the Mathematical Olympiads held at Moscow University. Most presuppose only high school mathematics but some are of uncommon difficulty and will challenge any mathematician. Complete solutions to all problems. 27 black-and-white illustrations. 1962 edition.

Product Details

  • Amazon Sales Rank: #497063 in Books
  • Published on: 1993-09-28
  • Number of items: 1
  • Binding: Paperback
  • 452 pages

Editorial Reviews

Language Notes
Text: English (translation)
Original Language: Russian

Customer Reviews

Excellent and fun book4
This is a great resource for challenging math problems. After getting annoyed with newspaper "problem of the week" type books, this was a refreshing find. Don't let the "high school level" disclaimer fool you - there are some seriously difficult problems in here.

If you're the type to find logic and math problems fun, I would recommend dropping $15 for this text. It's well worth the time.

lots and lots of fun problems5
I'm only starting the fourth chapter, "Some Problems from Arithmetic" or something like that, but I already love it. I'm not clever enough to solve more than few of the problems, but I find reading the solutions to the problems that I thought looked interesting to be very entertaining. Some of the solutions are so pretty and clever that I make my parents sit on my bed while I show them the best ones on my chalkboard (I'm just about start 11th grade). I highly recommend this book to anyone who appreciates the joy of numbers.

A Good Variety of Mind-Expanding Problems5
This book consists of "320 unconventional problems in algebra, arithmetic, elementary number theory and trigonometry." The problems are mathematically accessible to students at the high school level or higher, as they call more upon analytical thinking than upon advanced mathematical techniques. There is a range of difficulties, with harder problems marked with stars in the book. (The hardest problems are marked with double stars.) The problems are divided into twelve sections: "Introductory Problems," "Alterations of Digits in Integers," "The Divisibility of Integers," "Some Problems from Arithmetic," "Equations Having Integer Solutions," "Evaluating Sums and Products," "Miscellaneous Problems from Algebra," "The Algebra of Polynomials," "Complex Numbers," "Some Problems of Number Theory," "Some Distinctive Inequalities," and "Difference Sequences and Sums." Much of the book is devoted to providing hints and solutions, which are both thorough and clear. This is a great resource for preparing for competition, for developing your analytical thinking, or just for having fun (that is, if you are the sort of person who finds solving math problems fun).