[Math For Fun] Brilliant Problems
56 videos • 54,857 views • by blackpenredpen
These are the fun problems/lessons from Brilliant.org. Check them out by using this link: https://brilliant.org/blackpenredpen/
1
A Brilliant Limit
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2
Brilliant 1+2+3+...+n
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3
Brilliant integral by symmetry
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4
1^inf approach 1 vs I^inf doesn't approach 1
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5
Can we have negative factorial?
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6
Proving sin(10 deg) is irrational
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7
Sin(10 degrees) is irrational
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8
Big Brilliant Integral
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9
We must do this do this carefully!
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10
infinite nested natural log function doesn't exist
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11
limit of a sequence of continuous functions, need not to be continuous
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12
Newton's method and Omega Constant
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13
Integral of x^2*cos(x) and why the DI method works better than udv integration by parts
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14
Introduction to Hyperbolic Trig Functions
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15
The complex relationship between regular and hyperbolic trig functions
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16
Hyperbolic trig function, the input is twice of the area
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17
Infinite Continued Fractions, simple or not?
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18
inf^0 is indeterminate
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19
Solving x^x=2 (Lambert W function)
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20
Gabriel's Horn paradox (finite volume but infinite surface area)
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21
Subfactorial, a recursive approach
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22
How to find all solutions to the famous equation x^x=y^y (with Lambert W function)
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23
Simpson vs Taylor
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24
factorial of sqrt(2)?
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25
Why is 0^0 undefined?
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26
1^inf explained #IndeterminateFamily
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27
How to solve this trigonometric equation from another one
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28
How to solve a non-factorable quadratic congruence
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29
they say we can't factor x^2+y^2
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30
How to evaluate a double summation (change the order first)
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31
A Brilliant Algebra Problem
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32
solving a cubic equation by completing the cube
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33
My First Quintic Equation
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34
solving x^4+1=0
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35
how Weierstrass would integrate csc(x)
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36
I know you wanted to cancel the sine, but really?
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37
comparing cbrt(x) vs ln(x)
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38
Solving An Oxford Elliptic Curve Problem
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39
Pikachu and I proved that x^2 is continuous!
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40
Proving x^2 is continuous using the epsilon delta definition
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41
A Cambridge Integral Experience
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42
Solving x^i=1 vs i^x=1
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43
Be careful with i^(4/4)
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44
what 0 divided by 0 really is
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45
How English letters are used in mathematics!
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46
investigating n-pointed stars ⭐️
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47
My First Harvard MIT Math Tournament Problem
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48
Why I don't teach LIATE (integration by parts trick)
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49
My First Stanford Math Tournament Problem
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50
improper integral of x from neg inf to inf
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51
Calculus Teacher vs. Power Rule Student
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52
the last question on a Harvard-MIT Math Tournament!
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53
solving a hard counting problem from Oxford MAT
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54
I modified the Gaussian integral!
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55
combining rational exponents, but using calculus,
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56
Is this equation solvable? x^ln(4)+x^ln(10)=x^ln(25)
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