Euler's formula & Euler's identity
11:27
Euler's formula & Euler's identity
Aug 14, 2016
Khan AcademySal Khan
Euler’s identity is often called the most beautiful equation in mathematics because it connects five of the most important constants: e, i, pi, 1, and 0. It shows how the exponential function, complex numbers, and trigonometry are deeply linked. The identity says that when you raise e to the power of i times pi and then add 1, you get 0. This surprising and elegant result captures the unity of different branches of mathematics—algebra, geometry, and analysis—all in one simple equation. It’s a fa
0:07
Euler’s identity is often called the most beautiful equation in mathematics because it connects five of the most important constants: e, i, pi, 1, and 0. It shows how the exponential function, complex numbers, and trigonometry are deeply linked. The identity says that when you raise e to the power of i times pi and then add 1, you get 0. This surprising and elegant result captures the unity of different branches of mathematics—algebra, geometry, and analysis—all in one simple equation. It’s a fa
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The Most Beautiful Equation of Math: Euler’s Identity
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