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What is the number "e" and where does it come from?

e (2.718281828...), also known as Euler's number, is a critically important number in mathematics. It forms the basis of the exponential function and the natural logarithm, and like π it crops up in innumerable places (even where you wouldn't expect it).

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Understanding Logarithms as Time vs. Growth (1 of 2: Introducing the Metaphor)
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Understanding Logarithms as Time vs. Growth (1 of 2: Introducing the Metaphor)

e (Euler's Number) - Numberphile
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e (Euler's Number) - Numberphile

Where does “e” come from?
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Where does “e” come from?

Introduction to Logarithms (1 of 2: Definition)
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Introduction to Logarithms (1 of 2: Definition)

Dividing by zero?
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Dividing by zero?

The Natural Logarithm - What it REALLY Means
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The Natural Logarithm - What it REALLY Means

What's so special about Euler's number e? | Chapter 5, Essence of calculus
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What's so special about Euler's number e? | Chapter 5, Essence of calculus

What is 0 to the power of 0?
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What is 0 to the power of 0?

University of Cambridge Maths Admissions Interview
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University of Cambridge Maths Admissions Interview

Who cares about complex numbers??
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Who cares about complex numbers??

A Proof That The Square Root of Two Is Irrational
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A Proof That The Square Root of Two Is Irrational

I Hacked This Temu Router. What I Found Should Be Illegal.
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I Hacked This Temu Router. What I Found Should Be Illegal.

What is e and ln(x)? (Euler's Number and The Natural Logarithm)
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What is e and ln(x)? (Euler's Number and The Natural Logarithm)

Math News: The Sum-Product conjecture was disproven!!
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Math News: The Sum-Product conjecture was disproven!!

When Math Isn’t Based in Reality
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When Math Isn’t Based in Reality

Mark Rober’s $60 Million Science Experiment | TED
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Mark Rober’s $60 Million Science Experiment | TED

What is Euler's Number 'e' & Why is it SO Important?
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What is Euler's Number 'e' & Why is it SO Important?

The Seemingly Impossible Equation That Has a Beautiful Solution
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The Seemingly Impossible Equation That Has a Beautiful Solution

Why you didn't learn tetration in school[Tetration]
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Why you didn't learn tetration in school[Tetration]

Introduction to Calculus (1 of 2: Seeing the big picture)
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Introduction to Calculus (1 of 2: Seeing the big picture)

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