Continued Fraction Expansions, Pt. III
A fascinating generalization linking sequences, continued fractions, and polynomials. Email: allLogarithmsWereCreatedEqual@gmail.com Subscribe! https://www.youtube.com/AllLogarithmsEqual
From playlist Number Theory
Laura Capuano: An effective criterion for periodicity of p-adic continued fractions
Abstract: It goes back to Lagrange that a real quadratic irrational has always a periodic continued fraction. Starting from decades ago, several authors proposed different definitions of a p-adic continued fraction, and the definition depends on the chosen system of residues mod p. It turn
From playlist Women at CIRM
Continued fractions | Lecture 17 | Fibonacci Numbers and the Golden Ratio
What is a continued fraction, and why is the golden ratio considered to be the most irrational of the irrational numbers? 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.youtu
From playlist Fibonacci Numbers and the Golden Ratio
Arithmetic With... Continued Fractions?? #SoME2
Arithmetic! On continued fractions! It's possible, but not well known or widely used in practice. This video explores the basics of this underappreciated area of math. This is my submission for SoME2 (https://www.youtube.com/watch?v=hZuYICAEN9Y&t=0s) SOURCES & FURTHER READING: Continued
From playlist Summer of Math Exposition 2 videos
Keith Conrad (University of Connecticut) — January 28, 2015
From playlist Number Theory
The first part develops the fraction from a simple equation or statement with a single unknown variable and demonstrates the recursive, iterative procedure. Possibly as simple and straightforward as it is possible for me to do. The second part still confuses me and amounts to no mare than
From playlist Number Theory
Infinite Continued Fractions, simple or not?
Start learning today, click https://brilliant.org/blackpenredpen/ to check out Brillant.org. First 200 people to sign up will get 20% off your annual premium subscription! What Are Continued Fractions? Continued Fractions, Write sqrt(2) as a continued fraction, infinite simple continued
From playlist [Math For Fun] Brilliant Problems
Graphing Continued Fractions of Quadratic Irrationals
http://demonstrations.wolfram.com/GraphingContinuedFractionsOfQuadraticIrrationals The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Let x= ( a ) / ( b ) + ( c ) / ( d ) SqrtBox[S], a,b,c,d,S??. The continued fraction
From playlist Number Theory
This video defines what a simplified fraction is and explains how to simplify fractions using prime factors and division.
From playlist Simplifying Fractions
Unusual Decimal-to-Fraction Conversion that Just WORKS
Continued fractions prove to be an invaluable tool in converting decimals back to their fractions when you have limited information. They can also be used to find good fractional approximations for irrational numbers and in finding original square roots based solely off of their decimal ex
From playlist Summer of Math Exposition Youtube Videos
Jörg Thuswaldner: Multidimensional continued fractions and symbolic codings of toral translations
CIRM VIRTUAL CONFERENCE Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the November 24, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide
From playlist Virtual Conference
[ANT08] Continued fractions, Pell's equation, and units of Z[√d]
A brief detour into an unexpected kind of "approximation by rationals" algorithm allows us to easily solve Pell's equation (often by hand!), and hence calculate the units in Z[√d] for positive integers d.
From playlist [ANT] An unorthodox introduction to algebraic number theory
Applications of thin orbits - Alex Kontorovich
Members' Seminar Topic: Applications of thin orbits Speaker:Alex Kontorovich Date: Monday, April 11 We will discuss some natural problems in arithmetic that can be reformulated in terms of orbits of certain "thin" (semi)groups of integer matrix groups. For more videos, visit http://v
From playlist Mathematics
Generalizing methods to calculate square roots to cube roots
Previous two videos: https://www.youtube.com/watch?v=oOsYACy0UUY (without explanation) https://www.youtube.com/watch?v=08NwwsllQxw (explanation video) So do each of the method mentioned in the previous two videos generalize to cube roots or even higher order roots? Watch this video to fi
From playlist Novel topics (not in usual math curricula)
William Chen: Billiard orbits and geodesics in non-integrable flat dynamical systems (part 1)
VIRTUAL LECTURE Recording during the meeting "Discrepancy Theory and Applications" Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywo
From playlist Jean-Morlet Chair - Tichy/Rivat
Alex Kontorovich: Local-Global in Thin Orbits and Applications
The lecture was held within the framework of the Hausdorff Trimester Program: Harmonic Analysis and Partial Differential Equations and the Workshop: Analytic Number Theory of the Hausdorff Center for Mathematics 17.07.2014 This video was created and edited with kind support from eCampus
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Infinite fractions and the most irrational number
NEW: Follow-up video with puzzle solution is here: https://youtu.be/leFep9yt3JY In this video the Mathologer uses infinite fractions to track down the most irrational of all irrational numbers. Find out about how the usual suspects root 2, e, and pi stack up against this special number and
From playlist Recent videos
