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e to the pi i, a nontraditional take (old version)

3Blue1Brown
7.68M subscribers
2.7M views 10 years ago
Wait! There's an improved version:    • Euler's formula with introductory group th...   Also, for the calculus-savvy, you'll prefer this one:    • e^(iπ) in 3.14 minutes, using dynamics | DE5   Home page: https://www.3blue1brown.com/ The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns one action into another. For more information on viewing exponential functions in this new light, check out this article: http://goo.gl/LPyc4R Music: "Wyoming 307" by Time For Three, http://www.tf3.com/ ...more
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e to the pi i, a nontraditional take (old version)
43KLikes
2,728,785Views
2015Mar 4
Wait! There's an improved version:    • Euler's formula with introductory group th...   Also, for the calculus-savvy, you'll prefer this one:    • e^(iπ) in 3.14 minutes, using dynamics | DE5   Home page: https://www.3blue1brown.com/ The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns one action into another. For more information on viewing exponential functions in this new light, check out this article: http://goo.gl/LPyc4R Music: "Wyoming 307" by Time For Three, http://www.tf3.com/

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3Blue1Brown

7.68M subscribers