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  2. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    Download as PDF; Printable version; ... formulas of the form ... (Euler's identity) The following equivalences are true for any complex ...

  3. Euler's identity - Wikipedia

    en.wikipedia.org/wiki/Euler's_identity

    While Euler's identity is a direct result of Euler's formula, published in his monumental work of mathematical analysis in 1748, Introductio in analysin infinitorum, [16] it is questionable whether the particular concept of linking five fundamental constants in a compact form can be attributed to Euler himself, as he may never have expressed it.

  4. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    Euler's formula is ubiquitous in mathematics, physics, chemistry, and engineering. The physicist Richard Feynman called the equation "our jewel" and "the most remarkable formula in mathematics". [2] When x = π, Euler's formula may be rewritten as e iπ + 1 = 0 or e iπ = −1, which is known as Euler's identity.

  5. File:Illustration of Euler Identity.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Illustration_of_Euler...

    Author: Dave: Short title: Microsoft Word - Illustration of Euler.doc; Date and time of digitizing: 15:20, 21 September 2008: Software used: PScript5.dll Version 5.2

  6. Introductio in analysin infinitorum - Wikipedia

    en.wikipedia.org/wiki/Introductio_in_analysin...

    Then in chapter 8 Euler is prepared to address the classical trigonometric functions as "transcendental quantities that arise from the circle." He uses the unit circle and presents Euler's formula. Chapter 9 considers trinomial factors in polynomials. Chapter 16 is concerned with partitions, a topic in number theory.

  7. Mathematical beauty - Wikipedia

    en.wikipedia.org/wiki/Mathematical_beauty

    Download as PDF; Printable version; In other projects ... One such example is Euler's identity: [6] ... Euler's identity is a special case of Euler's formula, ...

  8. Wikipedia:Vital articles/Level/5/Mathematics - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:Vital_articles/...

    Download as PDF; Printable version; In other projects ... Prenex normal form. Skolem normal form; ... De Moivre's formula; Euler's identity ; Holomorphic function ...

  9. File:E-to-the-i-pi.svg - Wikipedia

    en.wikipedia.org/wiki/File:E-to-the-i-pi.svg

    This mathematical term forms part of an identity, a special case of Euler's formula, written = ⁡ + ⁡ (). Setting x {\displaystyle x} to a value of π {\displaystyle \pi } , as with the above term, Euler's formula reduces to a famous equation relating seven important mathematical symbols (and none that are unimportant!), namely e i π + 1 ...