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Mathematics for aspiring mathematicians.  Created by Dr. Katherine Stange at the University of Colorado, Boulder.  Learn about me under the "Community" tab, or here: https://math.katestange.net/

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Joy of Mathematics

Proof of Concept

Rethinking the real line #SoME3

Rethinking the real line #SoME3

107,795 views

2 years ago

Proof of Concept

Lehmer Factor Stencils: A paper factoring machine before computers

Lehmer Factor Stencils: A paper factoring machine before computers

55,935 views

4 years ago

Proof of Concept

Studying Apollonian Circle Packings using Group Theory

Studying Apollonian Circle Packings using Group Theory

6,469 views

5 years ago

Classical Cryptography

Proof of Concept

ADFGVX Cipher: Encryption and Decryption (OLD VERSION: SEE NEW VERSION LINK BELOW)

ADFGVX Cipher: Encryption and Decryption (OLD VERSION: SEE NEW VERSION LINK BELOW)

11,822 views

5 years ago

Proof of Concept

Cryptanalysis of Vigenere cipher: not just how, but why it works

Cryptanalysis of Vigenere cipher: not just how, but why it works

40,595 views

5 years ago

Proof of Concept

Lehmer Factor Stencils: A paper factoring machine before computers

Lehmer Factor Stencils: A paper factoring machine before computers

55,935 views

4 years ago

Proof of Concept

ADFGVX Cipher: Encryption and Decryption (Updated)

ADFGVX Cipher: Encryption and Decryption (Updated)

23,859 views

4 years ago

Proof of Concept

The Intuition behind the Double-And-Add / Square-And-Multiply Algorithm (Also Just a Fun Puzzle!)

The Intuition behind the Double-And-Add / Square-And-Multiply Algorithm (Also Just a Fun Puzzle!)

3,119 views

4 years ago

Modular Arithmetic Visually

Proof of Concept

Modular Arithmetic: User's Manual

Modular Arithmetic: User's Manual

4,017 views

5 years ago

Proof of Concept

Modular Arithmetic: Under the Hood

Modular Arithmetic: Under the Hood

3,095 views

5 years ago

Proof of Concept

Modular Arithmetic: In Motion

Modular Arithmetic: In Motion

4,007 views

5 years ago

Proof of Concept

Modular Arithmetic: Addition in Motion

Modular Arithmetic: Addition in Motion

2,011 views

5 years ago

Proof of Concept

Modular Arithmetic: Multiplication in Motion

Modular Arithmetic: Multiplication in Motion

2,144 views

5 years ago

Proof of Concept

The modular inverse via Gauss not Euclid

The modular inverse via Gauss not Euclid

3,485 views

5 years ago

GCDs and Euclidean algorithm

Proof of Concept

Greatest common divisor and least common multiple: building blocks

Greatest common divisor and least common multiple: building blocks

4,392 views

5 years ago

Proof of Concept

The Euclidean Algorithm: How and Why, Visually

The Euclidean Algorithm: How and Why, Visually

56,698 views

5 years ago

Proof of Concept

The extended Euclidean algorithm in one simple idea

The extended Euclidean algorithm in one simple idea

19,586 views

5 years ago

Research Talks

Proof of Concept

Rethinking the real line #SoME3

Rethinking the real line #SoME3

107,795 views

2 years ago

Proof of Concept

The Euclidean Algorithm: How and Why, Visually

The Euclidean Algorithm: How and Why, Visually

56,698 views

5 years ago

Proof of Concept

Lehmer Factor Stencils: A paper factoring machine before computers

Lehmer Factor Stencils: A paper factoring machine before computers

55,935 views

4 years ago

Proof of Concept

Cryptanalysis of Vigenere cipher: not just how, but why it works

Cryptanalysis of Vigenere cipher: not just how, but why it works

40,595 views

5 years ago

Proof of Concept

ADFGVX Cipher: Encryption and Decryption (Updated)

ADFGVX Cipher: Encryption and Decryption (Updated)

23,859 views

4 years ago

Proof of Concept

The extended Euclidean algorithm in one simple idea

The extended Euclidean algorithm in one simple idea

19,586 views

5 years ago

Proof of Concept

Anatomy of a proof: if n is even, then n squared is even

Anatomy of a proof: if n is even, then n squared is even

13,474 views

9 years ago

Proof of Concept

The Intuition Behind Proof by Induction

The Intuition Behind Proof by Induction

12,455 views

7 years ago

Proof of Concept

ADFGVX Cipher: Encryption and Decryption (OLD VERSION: SEE NEW VERSION LINK BELOW)

ADFGVX Cipher: Encryption and Decryption (OLD VERSION: SEE NEW VERSION LINK BELOW)

11,822 views

5 years ago

Proof of Concept

Studying Apollonian Circle Packings using Group Theory

Studying Apollonian Circle Packings using Group Theory

6,469 views

5 years ago

Proof of Concept

Greatest common divisor and least common multiple: building blocks

Greatest common divisor and least common multiple: building blocks

4,392 views

5 years ago

Proof of Concept

Modular Arithmetic: User's Manual

Modular Arithmetic: User's Manual

4,017 views

5 years ago

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