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Description
The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our TimeIn 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive 1 million in prize money. There was some precedent for doing this: in 1900 David Hilbert, one of the greatest mathematicians of his day, proposed twenty three problems, now known as the Hilbert Problems,
In 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive 1 million in prize money. There was some precedent for doing this: in 1900 David Hilbert, one of the greatest mathematicians of his day, proposed twenty-three problems, now known as the Hilbert Problems, that set much of the agenda for mathematics in the twentieth century. The Millennium Problems are likely to acquire similar stature, and their solution (or lack of one) is likely to play a strong role in determining the course of mathematics in the current century. Keith Devlin, renowned expositor of mathematics, tells here what the seven problems are, how they came about, and what they mean for math and science. These problems are the brass rings held out to today's mathematicians, glittering and just out of reach. In the hands of Keith Devlin, "the Math Guy" from NPR's "Weekend Edition," each Millennium Problem becomes a fascinating window onto the deepest and toughest questions in the field. For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life.Binding Type: Paperback
Publisher: Basic Books
Published: 10/16/2003
ISBN: 9780465017300
Pages: 256
Weight: 0.55lbs
Size: 8.10h x 5.50w x 0.70d
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4.7 ★★★★★
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Product Reviews
★★★★★ 3
Red flag!!!
Size: Dog Rope Toy - M
Within an hour of giving this toy to my dog, she chewed off the plastic handle and the plastic ball. The worst part is that they came off in very small pieces, some like crumbles. This could have been a serious problem if I had not been watching her and able to take it away.
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Reviewed in the United States on May 12, 2026
★★★★★ 4
Hoping for the Best
Size: Dog Rope Toy - M
Seem pretty strong, but I haven't had that long - hope it holds up to my chewer
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Reviewed in the United States on April 14, 2026
★★★★★ 5
great dog toy, would buy again
Size: Dog Rope Toy - M
Good value and good material. Great size and thickness. My pit loved it until I drove over it with my riding lawn mower. I will be buying another soon.
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Reviewed in the United States on May 15, 2026
★★★★★ 2
Updated title: Not for a power chewer
Size: Dog Rope Toy - M
Update: I had to cut the ball off the same day I wrote this review. Two days later, the yellow rope was totally unraveled and I had to throw it away. She got maybe 3 days of play with this toy. Do not buy this toy if you have a larger dog that chews a lot.
I will say our dog loved this toy the moment she started playing with it. But the toy doesn't last long with our superchewer. I was hoping to use it for some games of tug, and while we're at it get her teeth cleaned by the spikey red ball.
The listing includes "large" dogs. My large dog (11 m/o Bernese puppy) had this toy broken within the first 10 minutes. The red pieces are a pretty lightweight plastic that she just broke apart completely, specifically the bone on the "handle". The ball is lasting a little longer, but she put a hole in it. We will probably need to cut the ball off as well because she'll chew it up and swallow it if we're not careful, and then she'll need (another) surgery.
The positive is that she loves chewing on rope and the rope pieces seem pretty sturdy. We still play tug with the ropes, but this one I will probably just give to her as a chew toy. We found a more durable ball on a rope toy at Target for a little bit less.
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Reviewed in the United States on July 14, 2025
★★★★★ 1
Received broken unit
Size: Dog Rope Toy - M, Size: Dog Rope Toy - M
One of the two main strands of the toy are totally ripped apart and frayed before ever being used. Will fall apart very quickly, returning.
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Reviewed in the United States on June 8, 2026