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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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Product Reviews
★★★★★ 4
Super fun but fabric not durable for rough play.
Color: Blue
My dog absolutely love this, but the octopus cloth fell apart within the first day. He doesn’t usually play rough with his toys, but he was able to shred this octopus fabric very easily. He was very passionate in his playfulness and he’s a big dog, but he was able to put massive holes in the fabric within the first hour of play. The Ball still works, however so hopefully we can find another toy to stick it in.
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Reviewed in the United States on May 8, 2026
★★★★★ 5
My dog's favorite toy to date
Color: Blue
Heavy duty material that my dog has not destroyed. The vibrating ball inside is made of hard plastic, so beware if your dog likes to shake their toys, it definitely hurts to get whacked by this. The velcro keeping the ball inside is also heavy duty and takes a lot of strength to open. All in all, its a great toy and one of my dog's favorites.
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Reviewed in the United States on June 10, 2026
★★★★★ 3
Good enough.
Color: Blue
A little smaller than I thought and the battery doesn't last too long. But my puppy enjoys it enough. It is holding up well to her teeth as well.
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Reviewed in the United States on April 16, 2026
★★★★★ 5
My dog loves this toy!
Color: Green
I was NOT expecting my dog to like this toy, but she loves it! The legs are stretchy and the body vibrates. The battery lasts about a month.
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Reviewed in the United States on June 8, 2026
★★★★★ 5
Great interactive toy. Worth the price.
Color: Blue
Our Lab absolutely loves it. She throws it all over the house. It’s so fun to watch her play with it. It’s by far her favorite toy right now. It’s easy to charge and came with charging cable. It has a button to turn off and on and a couple different speeds. My parents got her a different one for Christmas and since she loved it so much we decided to get her another one. It’s pretty durable too. She normally rips through toys pretty quickly and both of the ones she has are still in good shape. No rips or tears. She hasn’t tried just chewing on it like she does her squeaky toys. She just throws it all around the house and chases it.
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Reviewed in the United States on March 17, 2026
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