Nova Methodus pro Maximis et Minimis explained

"Nova Methodus pro Maximis et Minimis" is the first published work on the subject of calculus. It was published by Gottfried Leibniz in the Acta Eruditorum in October 1684.^[1] It is considered to be the birth of infinitesimal calculus.^[2]

Full title

The full title of the published work is "Nova methodus pro maximis et minimis, itemque tangentibus, quae nec fractas nec irrationales quantitates moratur, et singulare pro illis calculi genus." In English, the full title can be translated as "A new method for maxima and minima, and for tangents, that is not hindered by fractional or irrational quantities, and a singular kind of calculus for the above mentioned."^[2] It is from this title that this branch of mathematics takes the name calculus.

Influence

Although calculus was independently co-invented by Isaac Newton, most of the notation in modern calculus is from Leibniz.^[3] Leibniz's careful attention to his notation makes some believe that "his contribution to calculus was much more influential than Newton's."^[4]

Citation and translations

• Leibniz . Gottfried . Gottfried Leibniz . Nova Methodus pro Maximis et Minimis . la . Acta Eruditorum . 3 . 1684 . 467–473 . Figures Tab. XII.
• Book: Leibniz, Gottfried . Dutens . Louis . Louis Dutens . 1768 . Nova Methodus pro Maximis et Minimis . la . 167–172 . Gothofredi Guillelmi Leibnitii Opera Omnia . 3 . Geneva . Fratres de Tournes . https://archive.org/details/gothofrediguille03leib/page/167/ . Figures Tab. VI.
• Book: Leibniz, Gottfried . 0 . Struik . Dirk J. . 1969 . A New Method for Maxima and Minima . 272–280 . A Source Book in Mathematics, 1200-1800 . https://archive.org/details/B-001-001-112/page/n293/ . limited . Harvard University Press .
• Web site: Leibniz . Gottfried . 0 . Bruce . Ian . 2014 . A New Method for Finding Maxima and Minima . https://web.archive.org/web/20230521075545id_/http://17centurymaths.com/contents/Leibniz/nova1.pdf . 2023-05-21 . dead . 17centurymaths.com .

See also

• Leibniz–Newton calculus controversy

External links

• Mathematical Treasure: Leibniz's Papers on Calculus: "Nova Methodus pro Maximis et Minimis..." (Latin original)

Notes and References

1. Web site: Mathematical Treasure: Leibniz's Papers on Calculus . 2024-04-03 . maa.org . Mathematical Association of America.
2. http://web.math.unifi.it/archimede/archimede_NEW_inglese/mostra_calcolo/pannelli/3.html Newton and Leibniz: the birth of calculus
3. Web site: The History of Calculus . 2013-12-30 . https://web.archive.org/web/20131208064506/http://www.uiowa.edu/~c22m025c/history.html . 2013-12-08 . dead .
4. http://fabpedigree.com/james/mathmen.htm#Leibniz Greatest Mathematicians of All Time