Proof Writing
33 videos • 971 views • by Mathematical Visual Proofs
Visual proofs connected to theorems that one might encounter when learning how to write proofs.
1
Dividing a sum (visual proof)
Mathematical Visual Proofs
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2
Function Composition is Associative (visual proof)
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3
Catalan Numbers Enumeration of Lattice Paths and visual Recurrence Formula (synthwave)
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4
The Binomial Recurrence from Lattice Paths (visual proof)
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5
Counting Rectangles in a Square Grid (synthwave; enumeration; visual proof)
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6
Logical Arguments, Formal Implication, and Laws of Inference [Discrete Math Class]
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7
Predicates and Quantifiers [Discrete Math Class]
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8
Introduction to Sets via Propositional Logic [Discrete Math Class with visuals]
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9
Combinatorial Objects: Permutations and Subsets [Discrete Math Class]
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10
AM-GM Inequality III (visual proof)
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11
Division Theorem/Division Algorithm
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12
Combinatorial Identities via both Algebraic and Combinatorial Proof [Discrete Math Class]
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13
Donuts and Dividers - Unordered Selections with Repetition [Discrete Math Class]
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14
Recurrence for partitions into k parts (visual proof)
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15
Solving Two Term Linear Homogenous Recurrences [Discrete Math Class]
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16
Introduction to Proof by Induction [Discrete Math Class]
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17
Proof by Strong Induction [Discrete Math Class]
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18
Pythagorean Theorem VII (visual proof)
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19
A Dozen Proofs: Sum of Integers Formula (visual proofs) #SoME2
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20
Intersecting Chords Theorem (visual proof)
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21
Visual irrationality proofs from the carpets theorem (root 2 and root 3)
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22
Euclid's Perfects and Mersenne's Primes (visually)
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23
Alternating infinite sum!
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24
Summing Squares IV (visual proof without words)
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25
0.999999… = 1
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26
Root Two is Irrational Visually
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27
Triangular Numbers Modulo 3 (visual proof)
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28
Diophantus's Sum of Squares Identity I (visual proof)
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29
Proof by Game (infinite Fibonacci sum)
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30
Golden Ratio is Irrational from a Regular Pentagon (visual proof)
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31
Function Proof via Diagram Chasing (g composed f injective and f surjective implies g injective).
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32
General Sum Principle #venndiagram #math
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33
Adding Odds using Areas (Sum of odds visual proof IV)
Mathematical Visual Proofs
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