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]
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Ch 1: Why linear algebra? | Maths of Quantum Mechanics
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Mathematical Relevance to Mechanical Engineering
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References
- ^ William Whewell (1837). History of the inductive sciences: from the earliest to the present times, Volume 2. J. W. Parker. pp. 93–96.
- ^ Hans Jahnke (2003). A History of Analysis - Translated from German. American Mathematical Society. p. 357. ISBN 9780821890509.
- ^ Euler, Leonhard. "Introduction - Volume 1" (PDF). 17centurymaths. Ian Bruce. Retrieved 25 January 2022.
- ^ 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.
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External links
- 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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This page was last edited on 8 April 2024, at 12:48