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17k

PT13M38S

the best proof that the real numbers are uncountable!!

Michael PennApr 18, 2025

21k

PT13M45S

can you evaluate this sum??

Michael PennApr 3, 2025

25k

PT18M8S

a super nice functional equation

Michael PennFeb 22, 2025

130k

PT31M10S

the geometry of the third derivative

Michael PennNov 29, 2024

111k

29k

PT21M56S

Integrating the impossible

Michael PennMay 26, 2024

30k

PT11M23S

my new favorite proof of this classic result

Michael PennApr 2, 2024

46k

PT45M8S

why there is no four dimensional cross product.

Michael PennMar 9, 2024

60k

PT21M46S

The dilogarithm -- a favorite "special function"

Michael PennDec 16, 2023

27k

$journey into fractals: the Cantor set and ternary expansion.$

journey into fractals: the Cantor set and ternary expansion.

Michael PennNov 24, 2023

Why are there no 3 dimensional "complex numbers"?

Michael PennNov 23, 2023

The craziest definition of the derivative you have ever seen!

Michael PennNov 1, 2023

PT37M3S

the equation Ramanujan couldn't solve!!

Michael PennOct 6, 2023

79k

PT20M45S

a formula for the "circumference" of an ellipse.

Michael PennOct 2, 2023

90k

PT30M31S

Climbing past the complex numbers.

Michael PennSep 22, 2023

150k

PT15M48S

what is the Gateaux derivative?

Michael PennJul 29, 2023

20k

PT26M7S

Deriving Euler's formula four ways!

Michael PennJul 14, 2023

42k

PT14M4S

a surprisingly interesting sum -- 2 ways!

Michael PennJul 3, 2023

23k

PT23M28S

Euler's other constant

Michael PennJun 19, 2023

40k

PT29M42S

A unique approach to the half-derivative.

Michael PennJun 18, 2023

36k

PT20M33S

a quaternion version of Euler's formula

Michael PennApr 24, 2023

85k

PT29M11S

The universal enveloping algebra

Michael PennDec 2, 2022

34k

One of the most important algebras -- The Witt Algebra

Michael PennNov 2, 2022

PT19M14S

The strange cousin of the complex numbers -- the dual numbers.

Michael PennFeb 16, 2022

501k

PT11M51S

Real Analysis | A convergent sequence is bounded.

Michael PennJul 10, 2020

27k

Featured Results

a surprisingly interesting equation

why only some infinite power towers are well defined.

a nice Ramanujan sum

the best proof that the real numbers are uncountable!!

can you evaluate this sum??

a super nice functional equation

the geometry of the third derivative

The unreasonable effectiveness of linear algebra.

I can solve any quintic equation!!

this defines my favorite function

Integrating the impossible

my new favorite proof of this classic result

why there is no four dimensional cross product.

The dilogarithm -- a favorite "special function"

journey into fractals: the Cantor set and ternary expansion.

Why are there no 3 dimensional "complex numbers"?

The craziest definition of the derivative you have ever seen!

the equation Ramanujan couldn't solve!!

a formula for the "circumference" of an ellipse.

Climbing past the complex numbers.

what is the Gateaux derivative?

Deriving Euler's formula four ways!

a surprisingly interesting sum -- 2 ways!

Euler's other constant

A unique approach to the half-derivative.

a quaternion version of Euler's formula

The universal enveloping algebra

One of the most important algebras -- The Witt Algebra

The strange cousin of the complex numbers -- the dual numbers.

Real Analysis | A convergent sequence is bounded.

Featured Results

a surprisingly interesting equation

why only some infinite power towers are well defined.

a nice Ramanujan sum

the best proof that the real numbers are uncountable!!

can you evaluate this sum??

a super nice functional equation

the geometry of the third derivative

The unreasonable effectiveness of linear algebra.

I can solve any quintic equation!!

this defines my favorite function

Integrating the impossible

my new favorite proof of this classic result

why there is no four dimensional cross product.

The dilogarithm -- a favorite "special function"

journey into fractals: the Cantor set and ternary expansion.

Why are there no 3 dimensional "complex numbers"?

The craziest definition of the derivative you have ever seen!

the equation Ramanujan couldn't solve!!

a formula for the "circumference" of an ellipse.

Climbing past the complex numbers.

what is the Gateaux derivative?

Deriving Euler's formula four ways!

a surprisingly interesting sum -- 2 ways!

Euler's other constant

A unique approach to the half-derivative.

a quaternion version of Euler's formula

The universal enveloping algebra

One of the most important algebras -- The Witt Algebra

The strange cousin of the complex numbers -- the dual numbers.

Real Analysis | A convergent sequence is bounded.

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