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Challenging Mathematical Problems with Elementary Solutions, Vol. II

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Challenging Mathematical Problems with Elementary Solutions, Vol. IIDesigned 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

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.



Binding Type: Paperback
Publisher: Dover Publications
Published: 12/01/1987
ISBN: 9780486655376
Pages: 240
Weight: 0.52lbs
Size: 8.45h x 5.44w x 0.44d
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SKU: 9545586813

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Kevin
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Color: White, Size: Women 9-13, Color: White, Size: Women 9-13
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Reviewed in the United States on April 20, 2026
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Michael S. Johnson
Chelsea, US
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Not durable
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Only used two of them so far. One sock lasted nearly 3 wears. The other broke before I could finish wearing it the second time. Basically useless junk.
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annette rainville
Lake Worth, US
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Color: Nude, Size: Women 9-13, Color: Nude, Size: Women 9-13
★★★★☆ Thick Silicone Moisturizing Socks I ordered these silicone moisturizing socks to try for dry heels. Unlike typical fabric spa socks, these are made entirely of soft silicone and are noticeably thicker and very stretchy. When I first took them out of the package there was a visible fold line in the silicone. It appears to be from how they were folded in the packaging rather than a defect in the material. The silicone itself feels durable and flexible. The design works like a full silicone sleeve that traps moisturizer against your skin. I applied Aquaphor first and then slid these on so the moisture stays in contact with the skin longer. One thing I noticed right away is that the silicone feels cool when you first put them on, which is actually pretty comfortable. The bottoms have a zig-zag textured pattern that gives some grip if you need to stand briefly, though these seem better for relaxing while moisturizer absorbs rather than walking around much. The ankle opening is the tightest part of the sock. It stretches, but it’s noticeably snug compared to the rest of the silicone, which helps keep them from sliding off. For sizing reference, I wear a women’s 7.5–8 shoe and the size Large fits comfortably. There’s plenty of stretch and I can wiggle my toes easily, so they should accommodate larger feet as well. They’re also easy to clean. After using them you can simply wash them with soap and water and let them dry completely before storing or using them again. Overall these appear well made with thick silicone and plenty of stretch. If you use moisturizing socks or heel treatments, these work well for keeping lotion in place while your feet absorb it. Since this set comes with two pairs for about $10, the price seems pretty reasonable for something reusable like this.
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Flavor Name: XL silicone socks 2 pairs
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