Mechanica

For the skin condition, see Acne mechanica.

Book by Leonhard Euler

Mechanica (Latin: Mechanica sive motus scientia analytice exposita; 1736) is a two-volume work published by mathematician Leonhard Euler which describes analytically the mathematics governing movement.

Euler both developed the techniques of analysis and applied them to numerous problems in mechanics,[1] notably in later publications the calculus of variations.[2] Euler's laws of motion expressed scientific laws of Galileo and Newton in terms of points in reference frames and coordinate systems making them useful for calculation when the statement of a problem or example is slightly changed from the original.[3]

Newton–Euler equations express the dynamics of a rigid body. Euler has been credited with contributing to the rise of Newtonian mechanics especially in topics other than gravity.[4]

## References

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1. ^ William Whewell (1837). History of the inductive sciences: from the earliest to the present times, Volume 2. J. W. Parker. pp. 93–96.
2. ^ Hans Jahnke (2003). A History of Analysis - Translated from German. American Mathematical Society. p. 357\. ISBN 9780821890509.
3. ^ Euler, Leonhard. "Introduction - Volume 1" (PDF). 17centurymaths. Ian Bruce. Retrieved 25 January 2022.
4. ^ Stan, Marius (2017). "Euler, Newton, and Foundations for Mechanics". In Schliesser, Eric; Smeenk, Chris (eds.). The Oxford Handbook of Newton. Oxford University Press. doi:10.1093/oxfordhb/9780199930418.013.31. ISBN 978-0-19-993041-8. Retrieved 25 January 2022. `{{cite book}}`: `|website=` ignored (help)

## External links

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* Mechanica Vol. 1 [E015] – Latin.
* Mechanica Vol. 1 – English translation by Ian Bruce.
* Mechanica Vol. 2 [E016] – Latin.
* Mechanica Vol. 2 – English translation by Ian Bruce.

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Leonhard Euler

* Euler–Lagrange equation
* Euler–Lotka equation
* Euler–Maclaurin formula
* Euler–Maruyama method
* Euler–Mascheroni constant
* Euler–Poisson–Darboux equation
* Euler–Rodrigues formula
* Euler–Tricomi equation
* Euler's continued fraction formula
* Euler's critical load
* Euler's formula
* Euler's four-square identity
* Euler's identity
* Euler's pump and turbine equation
* Euler's rotation theorem
* Euler's sum of powers conjecture
* Euler's theorem
* Euler equations (fluid dynamics)
* Euler function
* Euler method
* Euler numbers
* Euler number (physics)
* Euler–Bernoulli beam theory
* Namesakes

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