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Number Theory

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Explore fundamental concepts in number theory, including perfect numbers, prime theorems, and Diophantine equations, to deepen your understanding of mathematical relationships.
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7 Lesons
30 minutes
On-Demand
Free-Video
University of Oxford

Linear Diophantine Equations and the Extended Euclidean Algorithm - Lecture 1

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Explore linear Diophantine equations and the extended Euclidean algorithm, learning how to find integer solutions using quotients from the Euclidean algorithm in this undergraduate mathematics lecture.
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1 Lesons
49 minutes
On-Demand
Free-Video

Number Theory

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Explore fundamental concepts of number theory, including induction, divisibility, congruences, and prime numbers. Delve into advanced topics like quadratic reciprocity and Dirichlet's divisor problem.
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37 Lesons
2 hours 30 minutes
On-Demand
Free-Video

Grade 9 Mathematics Unit 1 Relation

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Comprehensive exploration of number systems, operations, and mathematical concepts for Ethiopian Grade 9 students, covering rational, irrational, and real numbers, radicals, and more.
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10 Lesons
5 hours
On-Demand
Free-Video
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
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
Michael Penn

The Euclidean Algorithm - Number Theory

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Explore the Euclidean Algorithm, a fundamental concept in number theory, and its applications in finding greatest common divisors efficiently.
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1 Lesons
22 minutes
On-Demand
Free-Video
Insights into Mathematics

How to Set Up Fractions III - Canonical Forms via the Euclidean Algorithm

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Explore the Euclidean Algorithm's role in creating canonical forms for fractions, connecting ancient Greek geometry to modern arithmetic and improving fraction manipulation skills.
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1 Lesons
26 minutes
On-Demand
Free-Video
Insights into Mathematics

Unique Factorization and Its Difficulties - Data Structures in Mathematics

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Explores the Unique Factorization Theorem, examining its logical structure, existence and uniqueness aspects, and introducing prime numbers and Bezout's Identity.
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1 Lesons
34 minutes
On-Demand
Free-Video
Wrath of Math

Finding the Greatest Common Factor Using Euclid's Algorithm

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Master Euclid's algorithm for finding greatest common divisors, from its historical origins to modern applications in solving diophantine equations, with proven computational efficiency methods.
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8 Lesons
21 minutes
On-Demand
Free-Video