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Description
Mathematical RecreationsRanging from ancient Greek and Roman problems to the most modern applications of special mathematical techniques for amusement, this popular volume contains material to delight both beginners and advanced mathematicians. Its 250 lively puzzles, problems, situations, and demonstrations of recreational mathematics feature full solutions and analyses. Fifty seven highly unusual historic problems are derived from ancient Greek, medieval European, Arabic,
Ranging from ancient Greek and Roman problems to the most modern applications of special mathematical techniques for amusement, this popular volume contains material to delight both beginners and advanced mathematicians. Its 250 lively puzzles, problems, situations, and demonstrations of recreational mathematics feature full solutions and analyses.Fifty-seven highly unusual historic problems are derived from ancient Greek, medieval European, Arabic, and Hindu sources. Other problems are based on "mathematics without numbers," geometry, topology, the calendar, arithmetic, and the mathematics of chess moves. Fifty pages comprise numerical pastimes built out of figurate numbers, Mersenne numbers, Fermat numbers, cyclic numbers, automorphic numbers, and prime numbers; probability problems are also fully analyzed. More than forty pages are devoted to magic squares, and the concluding portion of the book presents more than twenty-five new positional and permutational games of permanent value. A discussion of fairy chess is followed by rules and procedural information on latruncles, go, reversi, jinx, ruma, lasca, tricolor, four-story towers, tetrachrome, and other games.
More than a collection of wonderful puzzles, this volume offers a thorough, rigorous, and entertaining sampler of recreational mathematics, highlighted by numerous insights into specialized fields.
Binding Type: Paperback
Publisher: Dover Publications
Published: 11/17/2006
ISBN: 9780486453583
Pages: 328
Weight: 0.76lbs
Size: 8.50h x 6.40w x 0.65d
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Product Reviews
★★★★★ 5
Caution can cause addiction
Style: Sport, Size: 12in
My dog has become addicted to tennis balls because of this! She sees the blue handle and she immediately loses her mind! I love it because I don't have to bend down as far to pick up the ball, which is amazing after 2 back surgeries.
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Reviewed in the United States on February 25, 2026
★★★★★ 3
12 " too short, no direction.
Style: Sport, Size: 12in
I got the twelve inch handle. It is too short and does not flex enough to release ball in right direction. Its almost impossible to aim and doesn't sent the ball far enough.
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Reviewed in the United States on April 22, 2026
★★★★★ 5
Great for heavy chewers! Belgian Malinois Approved!
Color: E) 8-Pack 2.5" Balls (Yellow)
I bought these 6 months ago because my dog kept loosing his Kong balls. These were such a better price ball (but still had good reviews) that I thought I would give them a try. They are wonderful. After six months of chewing and chasing and playing with a Belgian Malinois, the two that I’ve gotten out are still in great condition. The bright color makes them easier to find, so none have been permanently lost yet.
They are bouncier and a little bit lighter weight compared to the Kong balls of the same size, which I honestly appreciate because my maligator likes to shoot them at my feet.
So far the material seems high quality and I feel safe letting the dog chew on it for hours on end.
The 8 pack was cheaper than 2 Kong balls. A great deal for a great product!!
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Reviewed in the United States on May 23, 2026
★★★★★ 5
Durable, high-bounce dog balls that hold up well to energetic play
Color: D) 4-Pack 3" Balls (Yellow)
The Chew King 3-inch rubber balls have been great for active play sessions. The rubber feels thick and durable, and the bounce is surprisingly lively compared to many standard dog balls. They’re the perfect size for medium to large dogs and are easy for dogs to carry, chase, and retrieve. After repeated games of fetch, the surface has held up well without cracking or losing its shape.
One thing that stands out is how easy they are to clean. Dirt and slobber rinse off quickly, so they’re ready for the next round of play. The bright color also makes them easier to find in grass or bushes compared to darker toys.
For longer life, it helps to supervise play if your dog is a very aggressive chewer, since these are designed more for fetch than constant chewing. Also, rotating toys every few days can keep dogs more engaged and extend the lifespan of each ball. Overall, this is a solid set of durable fetch balls that provide great bounce and reliable outdoor playtime fun.
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Reviewed in the United States on March 5, 2026
★★★★★ 5
toughest dog balls in the world
Color: E) 8-Pack 2.5" Balls (Yellow), Color: E) 8-Pack 2.5" Balls (Yellow)
best balls in the universe. I have a 70# pit bull and a 120# presa canaria. All the other balls I bought lasted maybe 3 weeks, I have had these for over a year and play with them and the dogs 5-6 days a week. They still look brand new, They seem like they will last a year or so and they are both serious chewers. A presa has a bite force od about 525psi, twice a pitty
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Reviewed in the United States on April 24, 2026