Calculation with species or general magnitudes, represented by letters, in François Viète's analytical programme.[ref]
Numerical calculation, contrasted with logistica speciosa in François Viète's analytical programme.[ref]
A historical description of general calculation, appearing in the title of Arithmetica universalis by Isaac Newton. It is not a guarantee that every law of ordinary numerical arithmetic applies to every algebraic structure.
In George Peacock's terminology, a science of symbolic operations whose laws are considered independently of a single numerical interpretation.[ref]
In George Peacock's terminology, symbolic calculation subject to the meanings and restrictions of arithmetic.[ref]
A procedure associated with Pierre de Fermat for extrema and tangents. Compare expressions at and , remove common terms, divide by a remaining power of , and suppress terms still containing . Its interpretation must be distinguished from ordinary equality at finite and from a modern limit definition.[ref]
Editor of primary mathematical texts in the Trinity College Dublin historical archive: www.maths.tcd.ie/pub/HistMath/ .
Figure 1. . Unknown photographer; reproduced via the MacTutor History of Mathematics archive and the Royal Society obituary (1941). Commons dates the portrait circa 1910. Public domain in the country of origin and jurisdictions with author-life-plus-70 terms or shorter, as claimed by Commons; photographer unknown, and the file page requests an additional United States public-domain basis. Source usage terms, via Wikimedia Commons. Source.

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The history of mathematics is a fascinating narrative that charts the development of mathematical concepts, systems, and practices throughout human civilization. It encompasses various periods, cultures, and significant figures who contributed to mathematical thought. Here's an overview of its key milestones: ### Ancient Mathematics (circa 3000 BCE – 500 CE) 1. **Mesopotamia**: The Sumerians developed a base-60 (sexagesimal) number system, which influenced our timekeeping and angles.