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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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4.4 ★★★★★
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★★★★★ 4
Not for aggressive dogs but no stuffing is super!
Size: 5 Pack
I've bought these several times but have the attitude that toys are disposable. One of my hounds will drop right through then to pull out the squeaker before losing interest. My other hound wants to love them. Glad there is no stuffing to get all over the house but they will tear quickly.
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Reviewed in the United States on June 8, 2026
★★★★★ 5
worth the price !
Size: 5 Pack, Size: 5 Pack
Best toys for our livestock puppies since they have been getting into our outdoor things which isn’t their faults but i figure I would get these small squeaky animals toys and they are obsessed and love playing tug a war with them! They’re super soft, the quality is amazing cause these puppies are tough chew monsters, love the squeaky sound it makes and the patting are suitable as well! Definitely recommend this especially for the price and how fast shipping was !
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Reviewed in the United States on March 16, 2026
★★★★★ 5
Solid dog toys HOWEVER...
Size: 5 Pack
Got these toys for our collie-retriever. He loves them and plays with them a lot and will even get them out in the middle of the night to play with them. Since there's no stuffing you can't throw them very far but they are good for tug-of-war and really soft. The one downside, while they techically are durable and hold up to rigorous chewing, they are not impervious as our little man finally disembowled Mr. Lion after a few months of playing with him. (Serated the lining with his teeth.) Still highly recommend.
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Reviewed in the United States on April 17, 2026
★★★★★ 3
Not very durable
Size: 5 Pack
They’re a great toy for the dog. However, if the dog is bigger, they are very easily destroyed.
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Reviewed in the United States on May 9, 2026
★★★★★ 5
Hold up to a heeler!
Size: 5 Pack
I have a red heeler who destroys chew toys in quickly. I was extremely happy with these ones. They are made of thicker material and even after he chews the squeaky piece out, I can play tug of war with them without them ripping apart. The price for the quality is the best I have found in a long time.
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Reviewed in the United States on June 9, 2026