Marie Crous
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Marie Crous ( fl. 1641) was a French mathematician. She introduced the decimal system to France in the 17th century.


Biography

Coming from a modest origin, Marie Crous became an accomplished writer and teacher at Charlotte-Rose de Caumont La Force. She was first published in 1636; by 1641, she published a study on the decimal system, which she dedicated to "the saffron-tinted princess" Madame de Combalet, Duchesse d'Aiguillon, niece of
Cardinal de Richelieu Armand Jean du Plessis, Duke of Richelieu (; 9 September 1585 – 4 December 1642), known as Cardinal Richelieu, was a French clergyman and statesman. He was also known as ''l'Éminence rouge'', or "the Red Eminence", a term derived from the ...
and a well known patron; she was a friend of
Marin Mersenne Marin Mersenne, OM (also known as Marinus Mersennus or ''le Père'' Mersenne; ; 8 September 1588 – 1 September 1648) was a French polymath whose works touched a wide variety of fields. He is perhaps best known today among mathematicians for ...
. However, Marie Crous would never be cited by the eminent members of the academics and scientists within the Minim Roman Catholic religious order, who dominated scientific research in France during that period, and she was never acknowledged as a woman of learning.
Catherine Goldstein : Catherine Goldstein (born July 5, 1958 in Paris) is a French number theorist and historian of mathematics who works as a director of research at the (IMJ). She was president of L'association femmes et mathématiques in 1991. Education and ca ...

Neither public nor private: mathematics in early modern France
Her work, printed by
Simon Stevin Simon Stevin (; 1548–1620), sometimes called Stevinus, was a Flemish mathematician, scientist and music theorist. He made various contributions in many areas of science and engineering, both theoretical and practical. He also translated vario ...
, goes well beyond what was provided at the time in calculation manuals. She wrote, Her work introduced two fundamental innovations: the decimal point (today called the ''virgule'' in French) to separate the mantissa of the decimal parts, as well as the use of a zero in the decimal part to indicate that a place is absent. In doing this, she gave form to current decimal numbers. She named the zeroes ''nuls'' as the Germans were doing. Talented in writing as well as mathematics, she developed among other things the method of Pestalozzi and what she called denominational division, which has great utility for mental calculations, notably in its application in the
rule of three Rule of three or Rule of Thirds may refer to: Science and technology *Rule of three (aeronautics), a rule of descent in aviation *Rule of three (C++ programming), a rule of thumb about class method definitions * Rule of three (computer programming ...
. Crous' work (the first edition dates to 1635–1636) begins with an epistle to her noble patron. She expresses gratitude for her help in these terms: Nevertheless, she does not attribute the merit of her inventions to her. In the preface of her ''Abrégé recherche'' (Research Abstract), Marie Crous assures that she made her work In her preface to Charlotte de Caumont, she referred to trades workers in construction in Paris, who were at that time beginning to replace pre-
metric Metric or metrical may refer to: * Metric system, an internationally adopted decimal system of measurement * An adjective indicating relation to measurement in general, or a noun describing a specific type of measurement Mathematics In mathema ...
units of measurement, such as the ''
toise A toise (; symbol: T) is a unit of measure for length, area and volume originating in pre-revolutionary France. In North America, it was used in colonial French establishments in early New France, French Louisiana (''Louisiane''), Acadia (''Acadi ...
'', with measurements in tenths as a more efficient system: From this perspective, Marie Crous provided a basis for the decimal
metric system The metric system is a system of measurement that succeeded the Decimal, decimalised system based on the metre that had been introduced in French Revolution, France in the 1790s. The historical development of these systems culminated in the d ...
.Jean-Pierre Poirier, ''Histoire des femmes de science en France: du Moyen Age à la Révolution'', Pygmalion/Gérard Watelet, 2002, p.380. Mathematician
Olry Terquem Olry Terquem (16 June 1782 – 6 May 1862) was a French people, French mathematician. He is known for his works in geometry and for founding two scientific journals, one of which was the first journal about the history of mathematics. He was als ...
regretted that her name had not yet been given to a street in Paris. More recently,
Catherine Goldstein : Catherine Goldstein (born July 5, 1958 in Paris) is a French number theorist and historian of mathematics who works as a director of research at the (IMJ). She was president of L'association femmes et mathématiques in 1991. Education and ca ...
devoted part of her article, "Neither public nor private: mathematics in early modern France" to Crous.


See also

*
0 (number) 0 (zero) is a number representing an empty quantity. In place-value notation such as the Hindu–Arabic numeral system, 0 also serves as a placeholder numerical digit, which works by multiplying digits to the left of 0 by the radix, usuall ...
*Mantissa *
Significand The significand (also mantissa or coefficient, sometimes also argument, or ambiguously fraction or characteristic) is part of a number in scientific notation or in floating-point representation, consisting of its significant digits. Depending on ...
*
Rule of three (mathematics) In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable. The method is als ...
*
Johann Heinrich Pestalozzi Johann Heinrich Pestalozzi (, ; 12 January 1746 – 17 February 1827) was a Swiss pedagogue and educational reformer who exemplified Romanticism in his approach. He founded several educational institutions both in German- and French-speaking r ...


References

* Catherine Goldstein
Neither public nor private: mathematics in early modern France
* ''Abrégée recherche de Marie Crous, pour tirer la solution de toute proposition d'arithmétique, dépendantes des règles y contenues; avec quelques propositions sur les changes, escomptes, intérêt, compagnie, associations, paiements, départements de deniers, mélanges, bureau des monnaies et toisages, divisé en trois parties. ENsemble un avis sur les dixmes ou dixièmes du sieur Stevin,'' à Paris, chez Jacques Auvray. 1661. * M.
Olry Terquem Olry Terquem (16 June 1782 – 6 May 1862) was a French people, French mathematician. He is known for his works in geometry and for founding two scientific journals, one of which was the first journal about the history of mathematics. He was als ...
, published by T. Bachelier, articl
on Marie Crous
p. 200 et seq. Ou ''
Nouvelles Annales de Mathématiques The ''Nouvelles Annales de Mathématiques'' (subtitled ''Journal des candidats aux écoles polytechnique et normale'') was a French scientific journal in mathematics. It was established in 1842 by Olry Terquem and Camille-Christophe Gerono, and con ...
'
Volume 14, p. 200 et seq
(1852). * Georges Maupin
''Opinions et curiosités touchant la mathématique (deuxième série)''
d'après les ouvrages français des XVIe, XVIIe et XVIIIe siècle, édité à Paris chez Naud (1898). pp. 230–243. {{DEFAULTSORT:Crous, Marie 17th-century French mathematicians French women scientists French women mathematicians 17th-century French women scientists