Neat Proofs
47 videos • 3,032 views • by Dr Barker
1
Differential Equations with Repeated Roots: Explained in 3 Ways
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2
Beyond ½ a b sin(C)
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3
Gaussian Integral: Infinite Series Approach
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4
An Amazing Floor & Square Root Identity
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5
The Best Diagram for Angle Sum Identities
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6
Convergence of an Interesting Series
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7
A Satisfying Divisibility Proof
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8
Two Neat Properties of Cardioids
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9
Proving A Crazy GCD Identity
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10
A Satisfying Number Theory Proof
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11
A Unique Proof Without Induction
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12
Two Proofs of a Useful Inequality
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13
Equation of a Line in the Complex Plane
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14
A Satisfying Property of Diagonals
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15
Proof Using Euler's Theorem: Rational Implies Recurring
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16
Two Unusual Proofs: Partial Sum of a Geometric Series
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17
Last Digits of Fifth Powers
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18
Differentiating x^{1/n} from First Principles without Power Series
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19
Angle Sum Formulae: Proof using Ptolemy's Theorem
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20
Fermat's Proof with Geometric Series: Integral of x^n
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21
Proof using Complex Numbers: Ptolemy's Theorem
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22
A Neat Property of Logarithmic Spirals
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23
A Ridiculous Approximation
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24
Finding Points at Rational Distances
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25
Taylor Series of Even/Odd Functions
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26
A Nice Property of Sums of Reciprocals
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27
Proofs in Different Bases: √2 is Irrational
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28
Cauchy-Schwarz: Proof using Jensen's Inequality
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29
A Complex Proof of the Harmonic Addition Theorem
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30
Volume of a Cone - An Unusual Proof
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31
Solving a Combinatorics Problem with the First Moment Method
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32
sin(n) does not converge - the subsequence approach
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33
The Set of Convex Functions is Convex
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34
All Cubics have Rotational Symmetry
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35
The Method No One Taught You - Finding the Tangent to a Curve
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36
How can you tell that a Fixed-Point Iteration will Converge?
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37
Infinite Dimensional Hypercube Graphs are Bipartite (feat. the Axiom of Choice)
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38
A Very Cool Trigonometric Identity
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39
Geometric proof of sin(cos(x)) ≤ cos(sin(x))
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40
sin(cos(x)) ≤ cos(sin(x)) proof
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41
Proving Inequalities using Linear Algebra
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42
sin(314159...)
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43
Hypercube Graphs are Bipartite
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44
Intro to Hypercubes: A Coordinate Approach
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45
Differentiating sin and cos - a mechanics proof
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46
sin(n) does not converge - an elementary proof
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47
Euler Product Formula: A Proof using Probability
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