# infinitesimal analysis

## EnglishEdit

### NounEdit

**infinitesimal analysis** (*uncountable*)

- (archaic, calculus) calculus
**1816**, John Playfair,*Dissertation on the Progress of Mathematical and Physical Science since the Revival of Letters in Europe*:- "Of the new or
**infinitesimal analysis**, we are to consider Sir Isaac Newton as the first inventor, Leibnitz, a German philosopher, as the second; ..." - "The fluxionary and differential calculus may be considered two modifications [in the matter of notation] of one general method, aptly distinguished by the name of the
**infinitesimal analysis**."

- "Of the new or

- (mathematics, analysis) a systematic employment of infinitesimals that reduces calculus to algebra; nonstandard analysis.
**1998**, John L. Bell,*A Primer of***Infinitesimal Analysis**.**2002**, E.I. Gordon, A.G. Kusraev, S.S. Kutateladze,**Infinitesimal Analysis**

### ReferencesEdit

- Professor Playfair's "
*Dissertation on the Progress of Mathematical and Physical Science*"

- as quoted by John Spare,
*The Differential Calculus*, Bradley, Dayton and Co., 1865, pp. 1-2. [1]

- Professor Playfair's "

- Infinitesimal analysis is "
*an archaic term for calculus.*" [2]

- Infinitesimal analysis is "

- "
*In 1816, he published, in the Supplement to the Encyclopaedia Britannica, a "*Dissertation on the Progress of Mathematical and Physical Science since the Revival of Letters in Europe*," a work of great erudition and research.*", biography of PLAYFAIR, JOHN. [3]

- "

- "
*The supplement was published in half-volume parts from December 1816 to April 1824. It formed six volumes 4to, containing 4933 Pages, 125 plates, 9 maps, three dissertations and 669 articles, of which a list is given at the end. ... The second dissertation,"*On the progress of mathematics and physics*,"was by Playfair, who died 19th July 1819, when he had only finished the period of Newton and Leibnitz.*", article on*Encyclopaedia*from the eleventh edition of the Encyclopaedia Britannica, first published in 1911. [4]

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