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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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mathematics
proof
undergraduate
visualization

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Joy of Mathematics
Proof of Concept
Rethinking the real line #SoME3
00:14:54
Rethinking the real line #SoME3

107,792 views

2 years ago

Proof of Concept
Lehmer Factor Stencils: A paper factoring machine before computers
00:26:06
Lehmer Factor Stencils: A paper factoring machine before computers

55,934 views

4 years ago

Proof of Concept
Studying Apollonian Circle Packings using Group Theory
00:08:05
Studying Apollonian Circle Packings using Group Theory

6,467 views

5 years ago

Classical Cryptography
Proof of Concept
ADFGVX Cipher: Encryption and Decryption (OLD VERSION: SEE NEW VERSION LINK BELOW)
00:07:07
ADFGVX Cipher: Encryption and Decryption (OLD VERSION: SEE NEW VERSION LINK BELOW)

11,820 views

5 years ago

Proof of Concept
Cryptanalysis of Vigenere cipher: not just how, but why it works
00:15:33
Cryptanalysis of Vigenere cipher: not just how, but why it works

40,584 views

5 years ago

Proof of Concept
Lehmer Factor Stencils: A paper factoring machine before computers
00:26:06
Lehmer Factor Stencils: A paper factoring machine before computers

55,934 views

4 years ago

Proof of Concept
ADFGVX Cipher: Encryption and Decryption (Updated)
00:08:14
ADFGVX Cipher: Encryption and Decryption (Updated)

23,855 views

4 years ago

Proof of Concept
The Intuition behind the Double-And-Add / Square-And-Multiply Algorithm (Also Just a Fun Puzzle!)
00:06:10
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
00:09:23
Modular Arithmetic: User's Manual

4,015 views

5 years ago

Proof of Concept
Modular Arithmetic: Under the Hood
00:17:27
Modular Arithmetic: Under the Hood

3,095 views

5 years ago

Proof of Concept
Modular Arithmetic: In Motion
00:18:48
Modular Arithmetic: In Motion

4,006 views

5 years ago

Proof of Concept
Modular Arithmetic: Addition in Motion
00:14:48
Modular Arithmetic: Addition in Motion

2,010 views

5 years ago

Proof of Concept
Modular Arithmetic: Multiplication in Motion
00:23:15
Modular Arithmetic: Multiplication in Motion

2,143 views

5 years ago

Proof of Concept
The modular inverse via Gauss not Euclid
00:13:18
The modular inverse via Gauss not Euclid

3,484 views

5 years ago

GCDs and Euclidean algorithm
Proof of Concept
Greatest common divisor and least common multiple: building blocks
00:12:02
Greatest common divisor and least common multiple: building blocks

4,384 views

5 years ago

Proof of Concept
The Euclidean Algorithm: How and Why, Visually
00:13:29
The Euclidean Algorithm: How and Why, Visually

56,635 views

5 years ago

Proof of Concept
The extended Euclidean algorithm in one simple idea
00:10:59
The extended Euclidean algorithm in one simple idea

19,568 views

5 years ago

Research Talks

Popular videos
Proof of Concept
Rethinking the real line #SoME3
00:14:54
Rethinking the real line #SoME3

107,792 views

2 years ago

Proof of Concept
The Euclidean Algorithm: How and Why, Visually
00:13:29
The Euclidean Algorithm: How and Why, Visually

56,635 views

5 years ago

Proof of Concept
Lehmer Factor Stencils: A paper factoring machine before computers
00:26:06
Lehmer Factor Stencils: A paper factoring machine before computers

55,934 views

4 years ago

Proof of Concept
Cryptanalysis of Vigenere cipher: not just how, but why it works
00:15:33
Cryptanalysis of Vigenere cipher: not just how, but why it works

40,584 views

5 years ago

Proof of Concept
ADFGVX Cipher: Encryption and Decryption (Updated)
00:08:14
ADFGVX Cipher: Encryption and Decryption (Updated)

23,855 views

4 years ago

Proof of Concept
The extended Euclidean algorithm in one simple idea
00:10:59
The extended Euclidean algorithm in one simple idea

19,568 views

5 years ago

Proof of Concept
Anatomy of a proof: if n is even, then n squared is even
00:10:20
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
00:22:10
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)
00:07:07
ADFGVX Cipher: Encryption and Decryption (OLD VERSION: SEE NEW VERSION LINK BELOW)

11,820 views

5 years ago

Proof of Concept
Studying Apollonian Circle Packings using Group Theory
00:08:05
Studying Apollonian Circle Packings using Group Theory

6,467 views

5 years ago

Proof of Concept
Greatest common divisor and least common multiple: building blocks
00:12:02
Greatest common divisor and least common multiple: building blocks

4,384 views

5 years ago

Proof of Concept
Modular Arithmetic: User's Manual
00:09:23
Modular Arithmetic: User's Manual

4,015 views

5 years ago

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