The golden ratio | Lecture 3 | Fibonacci Numbers and the Golden Ratio
The classical definition of the golden ratio. Two positive numbers are said to be in the golden ratio if the ratio between the larger number and the smaller number is the same as the ratio between their sum and the larger number. Phi=(1+sqrt(5))/2 approx 1.618. Join me on Coursera: http
From playlist Fibonacci Numbers and the Golden Ratio
Fibonacci numbers and the golden ratio | Lecture 4 | Fibonacci Numbers and the Golden Ratio
Relationship between the Fibonacci numbers and the golden ratio. The ratio of consecutive Fibonacci numbers approaches the golden ratio. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: h
From playlist Fibonacci Numbers and the Golden Ratio
Exercise - Write a Fibonacci Function
Introduction to the Fibonacci Sequence and a programming challenge
From playlist Computer Science
Greatest Common Divisor of Fibonacci Numbers
We prove a result regarding the greatest common divisor of Fibonacci numbers. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Identities involving Fibonacci numbers
The Fibonacci bamboozlement | Lecture 8 | Fibonacci Numbers and the Golden Ratio
Explanation of the Fibonacci bamboozlement. The Fibonacci bamboozlement is a dissection fallacy where the rearrangement of pieces in a square can be used to construct a rectangle with one unit of area larger or smaller than that of the square. The square and rectangle have side lengths gi
From playlist Fibonacci Numbers and the Golden Ratio
What do Fibonacci numbers have to do with combinatorics?
Part II: https://youtu.be/_RHXmGWXUvw Note: You ABSOLUTELY DON'T NEED TO HAVE KNOWN ANY COMBINATORICS because the combinatorics required in this video would be explained thoroughly. Source of the beautiful thumbnail: https://www.videoblocks.com/video/winter-stargate-deep-space-fibonacci-
From playlist Fibonacci
Demystifying the Golden Ratio (Part 2)
In this second video of the series, we explore the relationship between the Golden Ratio and the equation defining the Fibonocci numbers.
From playlist Demystifying the Golden Ratio
This video introduces the Fibonacci sequence and provides several examples of where the Fibonacci sequence appear in nature. http:mathispower4u.com
From playlist Mathematics General Interest
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From playlist Number Theory
Katherine Stange: A visual tour of Fibonacci numbers and their eccentric cousins, elliptic divisibility sequences: 19th International Fibonacci Conference.
From playlist My Math Talks
Relatively Prime Fibonacci Numbers
Today we solve a number theory problem involving Fibonacci numbers and the Fibonacci sequence! We will prove that consecutive Fibonacci numbers are relatively prime (also called coprime or mutual primes), this means their greatest common divisor is 1. We prove this using induction and the
From playlist Coffee Time Math with Wrath of Math
Alien Primes: The Wall–Sun–Sun Primes #SoME2
Is there anyone out there in the cosmos? The search for aliens seems to have been fruitless so far, even though there are good statistical reasons to believe that there should be other civilizations out there, perhaps even infinitely of them. In this entry to 3Blue1Brown's Summer of Mathem
From playlist Summer of Math Exposition 2 videos
Strong Induction -- Proof Writing 15
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From playlist Proof Writing
The Mystery of the Fibonacci Cycle
A video about the mysterious pattern found in the final digits of Fibonacci numbers. It turns out, if you write out the full sequence of Fibonacci numbers, the pattern of final digits repeats every 60 numbers. What’s up with that? Watch this video and you’ll find out! (My apologies to any
From playlist Summer of Math Exposition Youtube Videos
Master Leonardo "Bigollo" and a 1000-year-old unsolved problem, by Álvaro Lozano-Robledo
This is a talk given at UConn during Number Theory Day 2018, by Álvaro Lozano-Robledo (UConn). Abstract: We will discuss some contributions of a well-known mathematician who was known by many nicknames ("Bigollo" being one of them) and an old number theory problem (over 1000 years old) th
From playlist Math Talks
Advanced Knowledge Problem of the Week 4-28-16
Chloe explains how to identify the next number in a sequence of given numbers using the Fibonacci sequence and the Euler totient function. For the full problem and solution transcript, visit our blog: http://bit.ly/1SMY5Kk
From playlist Center of Math: Problems of the Week
#MegaFavNumbers This video is part of the MegaFavNumbers project. Make sure to check out the other videos that are part of the project in this playlist: https://www.youtube.com/watch?v=R2eQVqdUQLI&list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo I hope you enjoyed this fun contemplation of the in
From playlist MegaFavNumbers
Cassini's identity | Lecture 7 | Fibonacci Numbers and the Golden Ratio
Derivation of Cassini's identity, which is a relationship between separated Fibonacci numbers. The identity is derived using the Fibonacci Q-matrix and determinants. Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pd
From playlist Fibonacci Numbers and the Golden Ratio