Formula Euler
Formula Euler, dinamakan untuk Leonhard Euler, merupakan formula matematik dalam analisis kompleks yang menunjukkan hubungan yang mendalam antara fungsi trigonometri dan fungsi eksponen. (Identiti Euler adalah kes istimewa dari formula Euler.)
Formula Euler menyatakan bahawa, untuk setiap nombor nyata x,
dimana
- adalah asas logaritma asli
- adalah unit imaginasi
- dan adalah fungsi trigonometri.
Richard Feynman menyebut formula Euler sebagai "our jewel" dan "formula terhebat dalam matematik" (Feynman, p. 22-10).
Rujukan
- Feynman, Richard P., The Feynman Lectures on Physics, vol. I Addison-Wesley (1977), ISBN 0-201-02010-6, ISBN 02010211161
Pautan luar
- Euler and his beautiful and extraordinary formula by Antonio Gutierrez from Geometry Step by Step from the Land of the Incas.
- Euler's Formula - Puzzle: 55 pieces in a six star style of piece by Antonio Gutierrez from Geometry Step by Step from the Land of the Incas.
- Detailed Proof of Euler's Relation Diarkibkan 2009-03-13 di Wayback Machine by Craig Lewis.
- Proof of Euler's Formula Diarkibkan 2005-11-04 di Wayback Machine by Julius O. Smith III
- Euler's Formula and Fermat's Last Theorem
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