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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)

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?

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

Logarithm Laws (1 of 3: Adding logarithms)
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Logarithm Laws (1 of 3: Adding logarithms)

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

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

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

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

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

How Bernoulli Solved 1+1/2+1/3+1/4+...=?
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How Bernoulli Solved 1+1/2+1/3+1/4+...=?

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

Where does Euler’s Number ‘e’ REALLY come from?
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Where does Euler’s Number ‘e’ REALLY come from?

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

e^(iπ) + 1 = 0 — The Most Beautiful Equation, Visually Explained
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e^(iπ) + 1 = 0 — The Most Beautiful Equation, Visually Explained

Casting SALT like Metal - What Happens?
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Casting SALT like Metal - What Happens?

Why Ancient Humans Went From Black to White?
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Why Ancient Humans Went From Black to White?

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)

China quietly saved the world last month
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China quietly saved the world last month

What is the basic building block of all mathematics? (A surprising answer!)
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What is the basic building block of all mathematics? (A surprising answer!)

The sum of all counting numbers equals WHAT?
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The sum of all counting numbers equals WHAT?

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