Complex Analysis 12 | Exp, Cos and Sin as Power Series [dark version]

Опубликовано: 12 Июль 2023
на канале: The Bright Side of Mathematics
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🌙 There is also a dark mode version of this video:    • Complex Analysis 12 | Exp, Cos and Si...  
🔆 There is also a bright mode version of this video:    • Complex Analysis 12 | Exp, Cos and Si...  

🔆 To find the YouTube-Playlist, click here for the bright version:    • Complex Analysis  
🌙 And click here for the dark version of the playlist:    • Complex Analysis [dark version]  

🙏 Thanks to all supporters! They are mentioned in the credits of the video :)

Thanks to all supporters who made this video possible! They are mentioned in the credits of the video :)

This is my video series about Complex Analysis. I hope that it will help everyone who wants to learn about complex derivatives, curve integrals, and the residue theorem. Complex Analysis has a lof applications in other parts of mathematics and in physics.

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00:00 Intro
00:12 Derivatives of power series
01:28 Exponential function as a power series
03:28 Cosine as a power series
08:56 Sine as a power series

#ComplexAnalysis
#Analysis
#Calculus
#Mathematics
#curveintegral
#integration

(This explanation fits to lectures for students in their first or second year of study: Mathematics, Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)

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