1 / 9

Complex Number Exponents of Euler’s Number

Complex Number Exponents of Euler’s Number. By Avinash Inabathula. Introduction. Reasons: Understanding math Aspirations ?. Introduction to e. Painted by Emanuel Handmann. Leonhard Euler (15 April 1707 – 18 September 1783) Jacob Bernoulli e≈ 2.7182818284….

onella
Télécharger la présentation

Complex Number Exponents of Euler’s Number

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Complex Number Exponents of Euler’s Number By Avinash Inabathula

  2. Introduction • Reasons: • Understanding math • Aspirations • ?

  3. Introduction to e Painted by Emanuel Handmann • Leonhard Euler (15 April 1707 – 18 September 1783) • Jacob Bernoulli • e≈ 2.7182818284…

  4. Taylor Series == Wikipedia contributors. "Taylor series." Wikipedia, The Free Encyclopedia. Wikipedia, The Free Encyclopedia, 27 Jan. 2010. Web. 30 Jan. 2010.

  5. Maclaurin Expansion ex eix eix = a+bi

  6. A Little Simplification sin(x) cos(x)

  7. Graphical Representation Unit Circle on complex plane Consider f(π): f(π) = i f(x)=eix = cos(x) + isin(x) = cos(π) + isin(π)= -1 b x b=0i • π 1 a=-1 a -i

  8. Review • In conclusion:

  9. Conclusion • Further derivations

More Related