Pronunciation: /ˈɔɪ.lərz ˈfɔɹ.mjə.lə/ Explain
Click on the blue point and drag it to change the figure|
|Manipulative 1 - Euler's Formula Created with GeoGebra.||
Euler's formula is
It is remarkable in that it relates trigonometric function functions with complex
numbers. Euler's formula maps the natural constant
raised to the complex exponent
to the complex plane using the trigonometric expression
This equation is true only if the angle θ is measured
Euler's formula is named after
who published it in its present form in 1748.
Leonard Euler was a very
prolific mathematician. Note that the phrase Euler's Formula is
used to indicate different formulas in different disciplines.
- McAdams, David E.. All Math Words Dictionary, euler's formula. 2nd Classroom edition 20150108-4799968. pg 73. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Paul J. Nahin. Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills. Princeton University Press. April 10, 2006. Last Accessed 7/9/2018. Buy the book
- Fine, Henry B., Ph. D.. Number-System of Algebra Treated Theoretically and Historically. 2nd edition. pg 30. www.archive.org. D. C. Heath & Co., Boston, U.S.A.. 1907. Last Accessed 7/9/2018. http://www.archive.org/stream/thenumbersystemo17920gut/17920-pdf#page/n39/mode/1up. Buy the book
Cite this article as:
McAdams, David E. Euler's Formula. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/e/eulersformula.html.
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
7/5/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
1/29/2010: Added "References". (McAdams, David E.)
12/23/2008: Initial version. (McAdams, David E.)