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Challenging Mathematical Problems With Elementary Solutions, Vol. 1 Paperback – December 1, 1987

ISBN-13: 978-0486655369 ISBN-10: 0486655369

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Challenging Mathematical Problems With Elementary Solutions, Vol. 1 + Challenging Mathematical Problems With Elementary Solutions (Volume 2) + The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics (Dover Books on Mathematics)
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Product Details

  • Series: Dover Books on Mathematics (Book 1)
  • Paperback: 256 pages
  • Publisher: Dover Publications (December 1, 1987)
  • Language: English
  • ISBN-10: 0486655369
  • ISBN-13: 978-0486655369
  • Product Dimensions: 8.5 x 5.4 x 0.5 inches
  • Shipping Weight: 8.8 ounces (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Best Sellers Rank: #473,196 in Books (See Top 100 in Books)

Editorial Reviews

Language Notes

Text: English, Russian (translation)

Customer Reviews

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Most Helpful Customer Reviews

31 of 32 people found the following review helpful By UNPINGCO on June 12, 2000
Format: Paperback
It's amazing that so many results that you may have seen in more advanced books proven with more advanced techniques can also be proven with elementary methods. Some of the constructions are amazingly clever. Additionally, the authors take time to highlight the important results in elementary mathematics that are often used in more advanced areas without qualification.
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20 of 20 people found the following review helpful By Sebastien Gilmour on September 30, 2003
Format: Paperback
The reviewer below seems rather confused. This book has problems which COULD be solved in a mechanical way, but almost all the solutions given are simple and creative. Futhermore, there are often two solutions given. I find the problems hard, but maybe I am just not very smart. How could this book alter your perception of truth? By giving you knowledge?
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9 of 10 people found the following review helpful By Ljiljana Jelicic on November 13, 2006
Format: Paperback
We, I and my students, really liked the book.

It has place in praparing students for participation in mathematical contests. It is good for induvidual work, too.

problems are ordered by topic, not by tehnique to be used, and that encourages student`s creativity. Hints, given along whit the complete solutions, help and guide them to the right solution. Also, they allow students to fine a different method of soluiton.
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1 of 1 people found the following review helpful By Dr S Muralidharan on August 20, 2013
Format: Paperback
This book introduces many advanced techniques in problem solving. In particular, if you are planning to participate in Mathematics Olympiads, this book is a must read. The techniques of problem solving given in this book are amazing. To cite just one example, read the three totally different solutions to Problems 83 and 84 ("Bertrand's Ballot problem" in an equivalent formulation). All solutions are illuminating (in particular, look at the third solution - it uses the technique of illuminating a stair case by parallel beams of light!) - pun intended! The book is a gold mine of ideas - dig in and enjoy!
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1 of 86 people found the following review helpful By A Customer on July 24, 2003
Format: Paperback
Understanding is to understand and from that derive sequences of logical reasoning. While this kind of problem solving books merely stiffens one's (well, at least my) creativity and affects my perception of truth. Not worth reading if you are this kind of people.
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