Number theorists | Fibonacci numbers
Fibonacci (/ˌfɪbəˈnɑːtʃi/; also US: /ˌfiːb-/, Italian: [fiboˈnattʃi]; c. 1170 – c. 1240–50), also known as Leonardo Bonacci, Leonardo of Pisa, or Leonardo Bigollo Pisano ('Leonardo the Traveller from Pisa'), was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages". The name he is commonly called, Fibonacci, was made up in 1838 by the Franco-Italian historian Guillaume Libri and is short for filius Bonacci ('son of Bonacci'). However, even earlier in 1506 a notary of the Holy Roman Empire, Perizolo mentions Leonardo as "Lionardo Fibonacci". Fibonacci popularized the Indo–Arabic numeral system in the Western world primarily through his composition in 1202 of Liber Abaci (Book of Calculation). He also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in Liber Abaci. (Wikipedia).
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
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
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
Exercise - Write a Fibonacci Function
Introduction to the Fibonacci Sequence and a programming challenge
From playlist Computer Science
STAIRS reveal the relationship between Fibonacci and combinatorics
Part I: https://youtu.be/Hl61mJxILA4 Source of the beautiful thumbnail: https://www.videoblocks.com/video/winter-stargate-deep-space-fibonacci-spiral-infinite-zoom-scl2tvcpliylych5s I am still surprised at why I have not thought of this more direct linkage between Fibonacci numbers and c
From playlist Fibonacci
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
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
The Fibonacci Q-matrix | Lecture 6 | Fibonacci Numbers and the Golden Ratio
Defines the Fibonacci Q-matrix and shows how to raise this matrix to the nth power. 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: http://www.youtube.com/user/jchasnov?sub_confirmation=
From playlist Fibonacci Numbers and the Golden Ratio
Stepping Through Recursive Fibonacci Function
Understanding why and how the recursive Fibonacci function works
From playlist Computer Science
The Generalization War: The Rise of General Fibonach
This is a response...nay! a RETALIATION video against General Papa Flamdameroo for his assault on our senses with the (honestly fantastic) generalization of the Gaussian Intägarahl, seen here: https://www.youtube.com/watch?v=BdnxgFO-3VM I challenge YOU, Papa, to a generalization-off, wher
From playlist The Generalization War
CODING FIBONACCI IN WEBASSEMBLY BY HAND | Looping and Branching | Introduction to WebAssembly (WASM)
this video is really a deep dive into how loops (while, for) and branching (if, while) works in WebAssembly. we do this by hand-coding a Fibonacci function in WebAssembly (WASM) with WebAssembly Text language (WAT). to do this, we first understand what a Fibonacci sequence is.. how i
From playlist WebAssembly
Using recursion to write a fibonacci function
From playlist Computer Science
The Fibonacci spiral | Lecture 15 | Fibonacci Numbers and the Golden Ratio
How to construct a Fibonacci spiral. 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: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Fibonacci Numbers and the Golden Ratio
Lecture 12 - Fibonacci Numbers
This is Lecture 12 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2012.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
Fibonacci = Pythagoras: Help save a beautiful discovery from oblivion
In 2007 a simple beautiful connection Pythagorean triples and the Fibonacci sequence was discovered. This video is about popularising this connection which previously went largely unnoticed. 00:00 Intro 07:07 Pythagorean triple tree 13:44 Pythagoras's other tree 16:02 Feuerbach miracle 24
From playlist Recent videos
One of the coolest Fibonacci number patterns and how it works #SoME1
We created this video for The Summer of Math Exposition video contest. Thanks to Grant Sanderson for running the contest and inspiring us to make this video. My collaborator is Heather Moore over at Monkeyflower Math: https://www.monkeyflowermath.com/ Summer of Math Exposition: https:
From playlist Summer of Math Exposition Youtube Videos
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