Mechanica

Short description: 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

↑ William Whewell (1837). History of the inductive sciences: from the earliest to the present times, Volume 2. J. W. Parker. pp. 93–96. https://archive.org/details/historyinductiv07whewgoog.
↑ Hans Jahnke (2003). A History of Analysis - Translated from German. American Mathematical Society. p. 357. ISBN 9780821890509. https://books.google.com/books?id=CVRZEXFVsZkC&pg=PR7.
↑ Euler, Leonhard. "Introduction - Volume 1". Ian Bruce. http://www.17centurymaths.com/contents/euler/mechvol1/preface.pdf.
↑ Stan, Marius (2017). "Euler, Newton, and Foundations for Mechanics". The Oxford Handbook of Newton. Oxford University Press. doi:10.1093/oxfordhb/9780199930418.013.31. ISBN 978-0-19-993041-8. https://www.oxfordhandbooks.com/view/10.1093/oxfordhb/9780199930418.001.0001/oxfordhb-9780199930418-e-31. Retrieved 25 January 2022.

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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[1] William Whewell (1837). History of the inductive sciences: from the earliest to the present times, Volume 2. J. W. Parker. pp. 93–96. https://archive.org/details/historyinductiv07whewgoog.

[2] Hans Jahnke (2003). A History of Analysis - Translated from German. American Mathematical Society. p. 357. ISBN 9780821890509. https://books.google.com/books?id=CVRZEXFVsZkC&pg=PR7.

[3] Euler, Leonhard. "Introduction - Volume 1". Ian Bruce. http://www.17centurymaths.com/contents/euler/mechvol1/preface.pdf.

[4] Stan, Marius (2017). "Euler, Newton, and Foundations for Mechanics". The Oxford Handbook of Newton. Oxford University Press. doi:10.1093/oxfordhb/9780199930418.013.31. ISBN 978-0-19-993041-8. https://www.oxfordhandbooks.com/view/10.1093/oxfordhb/9780199930418.001.0001/oxfordhb-9780199930418-e-31. Retrieved 25 January 2022.