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#Continued Fractions

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Mathologer

How Did Ramanujan Solve the Strand Puzzle?

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Explore Ramanujan's genius through an infinite fraction puzzle, delving into continued fractions, Pell equations, and the Euclidean algorithm. Gain unique insights into mathematical concepts and problem-solving techniques.
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8 Lesons
45 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Renormalisation via Continued Fractions in Symbolic Dynamics

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Explorez la renormalisation via les fractions continues en dynamique symbolique avec Valérie Berthe. Plongez dans les mathématiques avancées et découvrez les liens entre géométrie, dynamique et théorie des nombres.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Mathologer

The Golden Ratio Spiral - Visual Infinite Descent

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Explore number-associated spirals, infinite descent proofs, and continued fractions. Debunk golden ratio myths while gaining insights into number properties through visual representations.
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5 Lesons
22 minutes
On-Demand
Free-Video
Insights into Mathematics

Turn Angles, Continued Fractions and Approximate Geometry - WildTrig: Intro to Rational Trigonometry

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Explore turn angles and continued fractions to approximate geometry, using the Euclidean algorithm for angles and circular arcs. Learn about the natural unit of angle and its applications.
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6 Lesons
32 minutes
On-Demand
Free-Video
Insights into Mathematics

Teaching Connections Between Algebra and Geometry I - A MANSW Presentation

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Exploring connections between algebra and geometry, covering topics like Euclidean algorithm, continued fractions, and projective geometry. Aims to revitalize interest in geometry as a core subject for students.
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17 Lesons
32 minutes
On-Demand
Free-Video
Insights into Mathematics

Greek Number Theory - Math History - NJ Wildberger

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Explore ancient Greek number theory, including primes, perfect numbers, and the Fundamental Theorem of Arithmetic. Learn about Euclidean algorithms, continued fractions, and Pell's equation.
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6 Lesons
25 minutes
On-Demand
Free-Video
Insights into Mathematics

Greek Number Theory - Math History - NJ Wildberger

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Explore ancient Greek number theory, including squares, primes, and the Fundamental Theorem of Arithmetic. Learn about Euclidean algorithms, continued fractions, and Archimedes' Cattle Problem.
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8 Lesons
42 minutes
On-Demand
Free-Video
ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 3

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Explore the deep connections between Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more. Uncover the beauty and complexity of these mathematical gems.
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14 Lesons
1 hour 24 minutes
On-Demand
Free-Video
ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 2

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Explore connections between Rogers-Ramanujan identities and icosahedron, linking number theory, modular forms, combinatorics, and conformal field theory in an accessible survey for mathematicians.
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13 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Manfred Denker: Toral Automorphisms Driven by Continued Fractions

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Explore toral automorphisms driven by continued fractions, discussing Poisson limits, homoclinic groups, and Steiner's theorem in dynamical systems and number theory.
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8 Lesons
57 minutes
On-Demand
Free-Video
ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 4

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Exploración profunda de las identidades Rogers-Ramanujan, su conexión con el icosaedro y sus implicaciones en teoría de números, formas modulares, combinatoria y teoría de campos conformes.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
ICTP Mathematics

Rotations of the Circle and Renormalization - Lecture 2

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Explore advanced concepts in dynamical systems, focusing on circle rotations and renormalization techniques with expert insights from Corinna Ulcigrai.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 1

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Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 3

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Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Number Theory Through Geometry, Dynamics and Illustration - Lecture 2

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Explore number theory through geometry and dynamics, focusing on continued fractions, Diophantine approximation, and Apollonian circle packings. Emphasizes visual and experimental tools in mathematical research.
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1 Lesons
54 minutes
On-Demand
Free-Video