Theory and Proofs
40 videos • 15,595 views • by Flammable Maths
1
Decomposing functions into an odd and even function
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2
Integrating using inverse functions
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3
Recurrent Sequences and Difference Equations
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4
The Leibniz rule for integrals: The Derivation
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5
Complex Analysis: sin(x)=pi
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6
Completing the square: The Derivation
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7
The quadratic formula: The Derivation
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8
(x+1) is a divisor of (x^(2n+1)+1): Proof using mathematical induction
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9
Equivalence of 3 solutions ( integral 1/(e^x+1) )
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10
The natural logarithm of a complex number ft. Math made Easy
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11
The sum of all natural numbers does NOT equal -1/12
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12
Complex analysis: e^((2pi/3)i)=(e^(ipi))^(2/3)
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13
Integration technique: Dummy Variables & Proof: Odd function over symmetric integral is always 0
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14
Separable Differential Equations: An Abstract Proof
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15
Even integrand over a symmetric integral
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16
An e-nteresting video: e is Irrational, a Classic Proof
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17
Unique Decomposition of a Function into the sum of an odd and even function [ Papa Flammy's V2 ]
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18
Integration using an Inverse Function [ Papa Flammy's V2 ]
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19
Chain Rule, with three functions - feat. Simon Pearce
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20
Square Root of 2 is Irrational but not Transcendental
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21
The Absolute Value of a Product is the Product of the Absolute Values
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22
Cardinality of the Power Set of Finite Sets - A Classic Proof
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23
There are Infinitely many Primes! - Euclid's Proof of the Infinitude of Primes
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24
Cantor's Theorem - A Classic Proof [ No surjection between Power Set and Set itself ]
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25
ONE NEAT PROOF! Deriving the EULER DEFINITION of the Gamma Function!
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26
Gamma Function Euler Form, Complementary video!
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27
Wallis' Product Formula - One Simple Proof!
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28
Legendre's Duplication Formula - A simple Proof!
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29
Factorial's Asymptotic Expansion - DERIVING STIRLING'S FORMULA! [ +Desmos Insights ]
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30
How do Mathematicians Prove Things?
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31
Proving Uniform Continuity using ε-δ
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32
Cassini's Most Curious Identity!
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33
Mathvengers: Eulergame
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34
A Mean Theorem! Proving the AM-GM-HM Inequalities Elegantly!
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35
The Art of Traditional Japanese Wood Joinery 日本伝統の技術『仕口・継手』
Dylan Iwakuni
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36
The Inverse of an Odd Function is Always Odd.
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37
2 High School Students Did the Impossible?! Pythagoras Using CALCULUS & TRIGONOMETRY!
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38
Pythagoras is for the Weak, Here's what Real Alpha Males Do
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39
1089
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40
The Shortest Proof of Euler's Formula in Existence
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