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Description
Fibonacci and Lucas Numbers, and the Golden Section: Theory and ApplicationsThis text for advanced undergraduates and graduate students surveys the use of Fibonacci and Lucas numbers in areas relevant to operational research, statistics, and computational mathematics. It also covers geometric topics related to the ancient principle known as the Golden Section a mystical expression of aesthetic harmony that bears a close connection with the Fibonacci mechanism. The Fibonacci principle of forming a new number by an appropriate
This text for advanced undergraduates and graduate students surveys the use of Fibonacci and Lucas numbers in areas relevant to operational research, statistics, and computational mathematics. It also covers geometric topics related to the ancient principle known as the Golden Section--a mystical expression of aesthetic harmony that bears a close connection with the Fibonacci mechanism.The Fibonacci principle of forming a new number by an appropriate combination of previous numbers has been extended to yield sequences with surprising and sometimes mystifying properties: the Meta-Fibonacci sequences. This text examines Meta-Fibonacci numbers, proceeding to a survey of the Golden Section in the plane and space. It also describes Platonic solids and some of their less familiar features, and an appendix and other supplements offer helpful background information. Students and teachers will find this book relevant to studies of algebra, geometry, probability theory, computational aspects, and combinatorial aspects of number theory.
Steven Vajda was born in Budapest in 1901 and died in England in 1995. For the last twenty-two years of his life, he was Visiting Professor of Mathematics at Sussex University. As a prominent teacher, lecturer, and author he played a vital role in the development of mathematical programming and operations research and wrote more than a dozen books and many research papers on these and other topics including game theory.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/26/2007
ISBN: 9780486462769
Pages: 189
Weight: 0.54lbs
Size: 9.07h x 6.63w x 0.37d
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4.8 ★★★★★
Based on 28 reviews
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Product Reviews
★★★★★ 5
Great treat toy
Color: Green
Great toy for mind stimulation. Somes i feed her in this especially when i have to leave her at home for couple hrs. Best toy for beginners dogs who is new to these type of toys. Recommend. Our other dog husky mix still needs assistance on using it but she is getting there.
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Reviewed in the United States on May 5, 2026
★★★★★ 5
A fun interactive puzzle your dog will enjoy!
Color: Green
It's a fun interactive puzzle for your pet.
I have a mini cockapoo and he mastered finding the treats on the first try.
Then I made it more challenging for my dog and it took awhile for him to master it. My dog never got bored or gave in. He seemed to like the challenge of finding all his treats.
Fun and challenging puzzle!
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Reviewed in the United States on May 24, 2026
★★★★★ 5
Great teeth cleaning toy
Style: Gator, Size: Large (Pack of 1)
I bought this for my pit bull. He is 75-80lbs. They didn't have an option for his weight, so I got the alligator for up to 35lbs. He has already chewed the alligator's face off. Now it is just an analgator. lol I do monitor him the whole time since he is over the weight limit of this chew toy. The body of the alligator has proven to be better suited for my pit bull's chewing than the face part. I bought an Arm & Hammer yellow bone chew toy for teeth cleaning a while back. It was the BEST THING EVER for my pit bull to chew on. He destroys every toy in a matter of minutes. That yellow bone lasted forever and he chewed on it daily and consistently throughout the day. I haven't been able to find another one like it, so I decided to get this alligator despite it not being for his size. It still seems durable and I think would last longer with a dog under 35lbs. I give it 5 stars bc it is a well-liked chew toy in my house with the dogs I have that like to chew. It seems well-made and great for cleaning teeth.
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Reviewed in the United States on July 26, 2023
★★★★★ 5
Great for aggressive chewers
Style: Gorilla, Size: Small (Pack of 1)
My little Corgi is an aggressive chewer. She has destroyed quite a few toys that were advertised for chewers. When I received this toy I had little confidence but it has lasted unscathed. Aside from being sturdy it also bounces so we play ball with it. It is one of her favorite toys.
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Reviewed in the United States on February 8, 2026
★★★★★ 4
Strong and Great for Treats, but Heavier Than Expected
Style: Gorilla, Size: Small (Pack of 1), Style: Gorilla, Size: Small (Pack of 1)
This is a very durable and well-made chew toy with good overall quality.
The material is thick rubber and holds up well to chewing. It also works very well for holding treats, which stay in place securely.
The main drawback is the weight. My dog is about 30 pounds, and even though this is a smaller version, it is still fairly heavy. She tends to use it mainly to get the treats out and then loses interest afterward.
What I like:
Very durable material
Works great for holding treats
Good bounce and quality construction
Cute design
Things to be aware of:
Heavier than expected
Some treats may be difficult to insert
Dogs may lose interest once treats are gone
Overall:
This is a solid treat-based toy that is built well, but the weight may limit how much some dogs interact with it beyond treat use.
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Reviewed in the United States on May 23, 2026
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