# The Significance of Euler's Number in Mathematics and Science

TLDR Euler's Number, also known as E, is a highly significant number that plays a central role in calculus and mathematics. It is found in various aspects of the natural world and is important in logarithms, statistics, exponential functions, and equations in science and mathematics.

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00:00 Euler's Number, also known as E, is a highly significant number found in various aspects of the natural world and plays a central role in calculus and mathematics.
02:00 Euler's Number, or E, is an important and special number that cannot be geometrically expressed and is an irrational and transcendental number.
03:59 The more frequently you compound interest, the more money you will make, as demonstrated by Jacob Bernoulli's calculations.
05:58 Euler's number, also known as Napier's constant, is significant in logarithms, statistics, and the exponential function, with the odds of not winning a game approaching 1 over E as the number of times played increases.
08:06 The exponential function is unique because it is the only function that is the derivative and integral of itself, and this property is why the number e is found in various areas of mathematics, such as compound interest, population growth, and radioactive decay.
10:05 The equation describing a bell curve is based on the number e, which can be found in many equations and formulas in science and mathematics, and was associated with the letter e by mathematician Leonhard Euler.
11:57 Euler's equation, e raised to i times pi plus 1 equals 0, is considered the most beautiful and elegant equation in mathematics as it ties together five important mathematical constants.
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