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Challenging Mathematical Problems With Elementary Solutions (Volume 2) First Thus Edition

4.7 4.7 out of 5 stars 51 ratings

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Designed for advanced high school students, undergraduates, graduate students, mathematics teachers, and any lover of mathematical challenges, this two-volume set offers a broad spectrum of challenging problems — ranging from relatively simple to extremely difficult. Indeed, some rank among the finest achievements of outstanding mathematicians.
Translated from a well-known Russian work entitled
Non-Elementary Problems in an Elementary Exposition, the chief aim of the book is to acquaint the readers with a variety of new mathematical facts, ideas, and methods. And while the majority of the problems represent questions in higher ("non-elementary") mathematics, most can be solved with elementary mathematics. In fact, for the most part, no knowledge of mathematics beyond a good high school course is required.
Volume One contains 100 problems, with detailed solutions, all dealing with probability theory and combinatorial analysis. Topics include the representation of integers as sums and products, combinatorial problems on the chessboard, geometric problems on combinatorial analysis, problems on the binomial coefficients, problems on computing probabilities, experiments with infinitely many possible outcomes, and experiments with a continuum of possible outcomes.
Volume Two contains 74 problems from various branches of mathematics, dealing with such topics as points and lines, lattices of points in the plane, topology, convex polygons, distribution of objects, nondecimal counting, theory of primes, and more. In both volumes the statements of the problems are given first, followed by a section giving complete solutions. Answers and hints are given at the end of the book.
Ideal as a text, for self-study, or as a working resource for a mathematics club, this wide-ranging compilation offers 174 carefully chosen problems that will test the mathematical acuity and problem-solving skills of almost any student, teacher, or mathematician.


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Product details

  • ASIN ‏ : ‎ 0486655377
  • Publisher ‏ : ‎ Dover Publications; First Thus edition (December 1, 1987)
  • Language ‏ : ‎ English
  • Paperback ‏ : ‎ 240 pages
  • ISBN-10 ‏ : ‎ 9780486655376
  • ISBN-13 ‏ : ‎ 978-0486655376
  • Item Weight ‏ : ‎ 9.2 ounces
  • Dimensions ‏ : ‎ 5.44 x 0.44 x 8.45 inches
  • Customer Reviews:
    4.7 4.7 out of 5 stars 51 ratings

Customer reviews

4.7 out of 5 stars
4.7 out of 5
We don’t use a simple average to calculate the overall star rating and percentage breakdown by star. Our system gives more weight to certain factors—including how recent the review is and if the reviewer bought it on Amazon. Learn more
51 global ratings

Top reviews from the United States

Reviewed in the United States on May 21, 2014
The product is excellent. It is quite explanatory. The exercises have various levels of difficulty. Ideal for those who want to delve in solving problems.
One person found this helpful
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Reviewed in the United States on December 19, 1999
I've read the Russian original of this book. It is wonderful. I really enjoyed it, and often used the ideas I found there to solve other problems. Highly recommended, espesially for the high school students unterested in mathematics, but extremely interesting for anybody who likes math.
34 people found this helpful
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Reviewed in the United States on August 31, 2017
Excellent

Top reviews from other countries

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AntoineTRz
5.0 out of 5 stars El libro llegó a tiempo y en perfectas condiciones
Reviewed in Spain on May 31, 2023
Es un libro en pequeño formato que puede hacer las delicias de todo entusiasta de las matemáticas. La calidad de la impresión es además buena
Enrico
3.0 out of 5 stars Cute but nothing more
Reviewed in Italy on June 20, 2021
I thought the exercises were more difficult, and more interesting. It's a good book, but nothing excellent.
R S K
5.0 out of 5 stars VERY ESSENTIAL!
Reviewed in India on April 3, 2018
Try this book if you want to tease your brain!
One person found this helpful
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Henri Ohnet
5.0 out of 5 stars Très bien
Reviewed in France on February 27, 2018
Très intéressant, un livre à posséder pour tout amateur d'énigmes. Attention la plupart des problèmes restent inabordables pour les non mathématiciens
Ramon Companys Pascual
4.0 out of 5 stars Una buena colección
Reviewed in Spain on June 12, 2023
Un poco más limitado que el primer volumen, pero con desarrollos muy interesantes.