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Description
Mathematical Conversations: Multicolor Problems, Problems in the Theory of Numbers, and Random WalksCombining three books into a single volume, this text comprises Multicolor Problems, dealing with several of the classical map coloring problems; Problems in the Theory of Numbers, an elementary introduction to algebraic number theory; and Random Walks, addressing basic problems in probability theory. The book's primary aim is not so much to impart new information as to teach an active, creative attitude toward mathematics. The sole prerequisites are
Combining three books into a single volume, this text comprises Multicolor Problems, dealing with several of the classical map-coloring problems; Problems in the Theory of Numbers, an elementary introduction to algebraic number theory; and Random Walks, addressing basic problems in probability theory. The book's primary aim is not so much to impart new information as to teach an active, creative attitude toward mathematics. The sole prerequisites are high-school algebra and (for Multicolor Problems) a familiarity with the methods of mathematical induction. The book is designed for the reader's active participation. The problems are carefully integrated into the text and should be solved in order. Although they are basic, they are by no means elementary. Some sequences of problems are geared toward the mastery of a new method, rather than a definitive result, and others are practice exercises, designed to introduce new concepts. Complete solutions appear at the end.Binding Type: Paperback
Publisher: Dover Publications
Published: 12/01/2006
ISBN: 9780486453514
Pages: 270
Weight: 0.64lbs
Size: 8.46h x 6.40w x 0.59d
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★★★★★ 5
Excellent dog balls — safe design and very durable
Style: Fetch Balls (Pack of 3), Size: 2.5 inch
These fetch balls from Amazon Basics are fantastic, and my dog absolutely loves them. One of the biggest reasons I prefer these over other brands is the hole that runs through the center of the ball. This is a very important safety feature: if a dog were to accidentally get the ball stuck in the back of the throat, the hole allows air to pass through. That small detail could literally make a life-saving difference.
Aside from the safety benefit, they bounce well, are easy to clean, and hold up to a lot of playtime. They’re firm but not rock-hard, and my dog goes crazy for them. Great value, great quality, and a thoughtful design.
Highly recommended for dog owners who want a safer alternative to standard solid rubber balls.
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Reviewed in the United States on December 1, 2025
★★★★★ 5
Great ball for heavy chewers
Style: Assorted Balls (Pack of 3), Size: 2.5 inch
Great toy for my Doberman. She chews through tennis balls in about 15 minutes but these are very durable. She likes to chase them but also just chew on them.
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Reviewed in the United States on April 26, 2026
★★★★★ 5
Durable
Style: Fetch Balls (Pack of 2), Size: 3 inch
Very bouncy. I like the noise it makes when you throw it. Pretty durable. Good size. Dog loves to play with them. Good material. Easy to use.
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Reviewed in the United States on April 5, 2026
★★★★★ 4
My dog loves glowing fetch at night!
Style: Glow Balls (Pack of 3), Size: 2.5 inch
Fantastic. Sturdy. My dog loves them
Glow in the dark is great for fetch at night. I keep a flashlight with me because the glow doesn't last really long. But they charge very quickly and are really bright.
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Reviewed in the United States on February 22, 2026
★★★★★ 5
Indestructible
Style: Fetch Balls (Pack of 2), Size: 3 inch
These balls are indestructible! We have a lab and a lab mix and they CANNOT damage these balls. They love them for fetch and to just chew on them (slightly squishy, but NO damage). Best toys we have bought for them.
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Reviewed in the United States on April 19, 2026