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Mechanica

From Wikipedia, the free encyclopedia

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)
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