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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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★★★★★ 5
Relief for dry mouth without gum irritation
Big improvement for users with sensitive gums. These relieve dry mouth during the night almost as well as the regular tabs. Some complained about a residual gel left on the gums. 🙄Just wipe it off. It’s a small thing.
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Reviewed in the United States on May 4, 2026
★★★★★ 5
An easy fix for dry mouth
Excellent for dry mouth.
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Reviewed in the United States on May 6, 2026
★★★★★ 1
This version doesn’t work
I used these 2 nights in a row. I was hoping Oracoat found a solution to the problem people like me have with the regular Xylimelts: irritation of gums. As others have noted the “sensitive” version doesn’t melt and the goo that remains can be difficult to remove. I didn’t have too much trouble after the first night. However, the second day after use, it was so hard to get the remains out, I wound up with a very sore spot from digging it out. I will toss the rest.
It’s too bad this effort fizzled. I hope Oracoat will find a solution For sensitive mouths. In the b meantime, I will use the original for a few nights and then stop before repeating. The idea behind the original product is fantastic. Unfortunately this attempt to make it usable for people with sensitive mouths hasn’t worked. Please try again.
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Reviewed in the United States on March 25, 2025
★★★★★ 5
Helped with Dry Mouth
Followed the instructions on the box and everything turned out amazing! Absolutely love the results and relief I felt
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Reviewed in the United States on April 21, 2026
★★★★★ 3
An improvement over the original product, but could be better
I had used the original Xylimelts a few years back for my night time very dry mouth. They worked very well, completely dissolving overnight, but they caused sores inside my cheeks. Recently I discovered this new version which was purported to be made without the offending ingredients. They don't work quite as well, as they don't completely dissolve, but so far haven't caused any irritation. My mouth isn't completely parched as it was without any product, so it is definitely better than nothing. There is a gel-like residue in the morning that needs to be scraped off the teeth. I think Oracoat has some more R & D to do.
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Reviewed in the United States on August 25, 2025