Maria Gaetana Agnesi
Maria Gaetana Agnesi
Born	May 16, 1718
Died	January 9, 1799
Nationality	Italy
Fields	Mathematics
Notes oldest of 21 children

Maria Gaetana Agnesi (May 16, 1718 - January 9, 1799) was an Italian linguist, mathematician, and philosopher. Agnesi is credited with writing the first book discussing both differential and integral calculus. She was an honorary member of the faculty at the University of Bologna. According to Dirk Jan Struik, Agnesi is "the first important woman mathematician since Hypatia (fifth century A.D.)". Image File history File links Maria_Gaetana_Agnesi. ... is the 136th day of the year (137th in leap years) in the Gregorian calendar. ... Year 1718 (MDCCXVIII) was a common year starting on Saturday (link will display the full calendar) of the Gregorian calendar (or a common year starting on Tuesday of the 11-day slower Julian calendar). ... is the 9th day of the year in the Gregorian calendar. ... 1799 was a common year starting on Tuesday (see link for calendar). ... For other meanings of mathematics or uses of math and maths, see Mathematics (disambiguation) and Math (disambiguation). ... is the 136th day of the year (137th in leap years) in the Gregorian calendar. ... Year 1718 (MDCCXVIII) was a common year starting on Saturday (link will display the full calendar) of the Gregorian calendar (or a common year starting on Tuesday of the 11-day slower Julian calendar). ... is the 9th day of the year in the Gregorian calendar. ... 1799 was a common year starting on Tuesday (see link for calendar). ... Dirk Struik (September 30, 1894-October 21, 2000) was a mathematician and Marxian theoretician in the United States. ... Hypatia, as depicted in Raphaels The School of Athens. ...

Early life

Her father, Pietro, was a wealthy man of business who desired to elevate his family into the Milanese nobility. (Some historians have incorrectly identified him as a mathematics professor.)

Maria was recognized as a child prodigy very early; she could speak both French and Italian at five years of age. By her eleventh birthday she had acquired Greek, Hebrew, Spanish, German, Latin, and was referred to as the "Walking Polyglot". She even educated her younger brothers. When she was 9 years old, she composed and delivered an hour-long speech in Latin to an academic gathering. The subject was women's right to be educated. When she was fifteen, her father began to regularly gather in his house a circle of the most learned men in Bologna, before whom she read and maintained a series of theses on the most abstruse philosophical questions. Records of these meetings are given in Charles de Brosses|de Brosses' Lettres sur l'Italie and in the Propositiones Philosophicae, which her father had published in 1738. These displays, being probably not altogether congenial to Maria (who was of a retiring disposition) ceased by her twentieth year because she strongly desired to enter a convent at that time. Although her father refused to grant this wish, he agreed to let her live from that time on in an almost conventual semi-retirement, avoiding all interactions with society and devoting herself entirely to the study of mathematics. During that time, Maria studied both differential and integral calculus. Pietro Agnesi also married twice more after Maria's mother died, so that Maria Agnesi ended up the eldest of 21 children. In addition to her performances and lessons, her responsibility was to teach her siblings. This task kept her from her own goal of entering a convent.

Contributions to mathematics

Instituzioni analitiche

First page of Instituzioni analitiche (1748)

The most valuable result of her labours was the Instituzioni analitiche ad uso della gioventu italiana, a work of great merit, which was published at Milan in 1748 and "was regarded as the best introduction extant to the works of Euler." [1] The first volume treats of the analysis of finite quantities and the second of the analysis of infinitesimals. A French translation of the second volume by P. T. d'Antelmy, with additions by Charles Bossut (1730-1814), appeared at Paris in 1775; and an English translation of the whole work by John Colson (1680-1760), the Lucasian Professor of Mathematics at Cambridge, "inspected" by John Hellins, was published in 1801 at the expense of Baron Maseres. Image File history File links Size of this preview: 500 × 600 pixel Image in higher resolution (1264 × 1516 pixel, file size: 1. ... Image File history File links Size of this preview: 500 × 600 pixel Image in higher resolution (1264 × 1516 pixel, file size: 1. ... For other uses, see Milan (disambiguation). ... Leonhard Euler aged 49 (oil painting by Emanuel Handmann, 1756) Leonhard Euler (April 15, 1707 - September 18, 1783) (pronounced oiler) was a Swiss mathematician and physicist. ... Infinitesimals have been used to express the idea of objects so small that there is no way to see them or to measure them. ... Charles Bossut Charles Bossut (August 11th 1730 - January 14th 1814) was a French mathematician, confrere of the Encyclopaedists. ... This article is about the capital of France. ... Johnathan John Colson was a Lucasian Professor of Mathematics at Cambridge University. ... The incumbent of the Lucasian Chair of Mathematics, the Lucasian Professor is the holder of a mathematical professorship at Cambridge University. ... The University of Cambridge (often Cambridge University), located in Cambridge, England, is the second-oldest university in the English-speaking world and has a reputation as one of the most prestigious universities in the world. ... This subject should not be confused with John Hellins, 1829–87, Clergyman and entomologist [1]. John Hellins, (c. ...

Witch of Agnesi

Main article: Witch of Agnesi

Madame Agnesi also wrote a commentary on the Traite analytique des sections coniques of the marquis de l'Hôpital, which, though highly praised by those who saw it in manuscript, was never published. She discussed the curve known as the "witch of Agnesi" or "versiera" as she named it in 1748. (Italian for the rope that turns a sail, taken from the Latin "versoria," meaning "to turn," which was the term used by Luigi Grandi before her." Colson, who translated Agnesi's text to English, perhaps confused "la versiera" with "l'avversiera", and so mistranslated it as "she-devil" or "the witch", with the result that English-speakers and, for some reason, Spanish speakers from Mexico, Cuba, and Spain, know the curve as the "Witch of Agnesi" (La Bruja de Agnesi).). Struik mentions that: In mathematics, the witch of Agnesi, sometimes called the witch of Maria Agnesi (named for Maria Agnesi), is the graph of the equation or in general: and parametrically: which consists of a small bump at the y intercept. ... Luigi Guido Grandi (October 1, 1671 – July 4, 1742) was an Italian priest, born in Cremona who was Jesuit-educated and became a member of the Camaldolensian order. ... Dirk Struik (September 30, 1894-October 21, 2000) was a mathematician and Marxian theoretician in the United States. ...

The word [versiera] is derived from Latin vertere, to turn, but is also an abbreviation of Italian avversiera, female devil. Some wit in England once translated it 'witch', and the silly pun is still lovingly preserved in most of our textbooks in English language. ... The curve had already appeared in the writings of Fermat (Oeuvres, I, 279-280; III, 233-234) and of others; the name versiera is from Guido Grandi (Quadratura circuli et hyperbolae, Pisa, 1703). The curve is type 63 in Newton's classification. ... The first to use the term 'witch' in this sense may have been B. Williamson, Integral calculus, 7 (1875), 173;^[1] see Oxford English Dictionary. Pierre de Fermat Pierre de Fermat IPA: (August 17, 1601 – January 12, 1665) was a French lawyer at the Parlement of Toulouse, France, and a mathematician who is given credit for early developments that led to modern calculus. ... Luigi Guido Grandi (October 1, 1671 – July 4, 1742) was an Italian priest, born in Cremona who was Jesuit-educated and became a member of the Camaldolese order. ... Sir Isaac Newton, (4 January 1643 – 31 March 1727) [ OS: 25 December 1642 – 20 March 1727][1] was an English physicist, mathematician, astronomer, natural philosopher, and alchemist, regarded by many as the greatest figure in the history of science. ...

1. ^ "173 Find the area between the witch of Agnesi xy² = 4a²(2a − x) and its asymptote." (Oxford English Dictionary)

Agnesi's diploma from Università di Bologna

Examples of the curve are those given by the equations Image File history File links Size of this preview: 800 × 580 pixel Image in higher resolution (1728 × 1252 pixel, file size: 1. ... Image File history File links Size of this preview: 800 × 580 pixel Image in higher resolution (1728 × 1252 pixel, file size: 1. ...

where a is any non-zero constant. The equation

is the simplest among these.

Later life

In 1750, on the illness of her father, she was appointed by Pope Benedict XIV to the chair of mathematics and natural philosophy at Bologna. She was the second woman to be appointed professor at a university. After the death of her father in 1752 she carried out a long-cherished purpose by giving herself to the study of theology, and especially of the Fathers and devoted herself to the poor, homeless, and sick. After holding for some years the office of directress of the Hospice Trivulzio for Blue Nuns at Milan, she herself joined the sisterhood, and in this austere order ended her days, but no one knows how she died. A crater on Venus was named in her honor. Benedict XIV, born Prospero Lorenzo Lambertini (Bologna, March 31, 1675 – May 3, 1758 in Rome), was Pope from 17 August 1740 to 3 May 1758. ... Natural philosophy or the philosophy of nature, known in Latin as philosophia naturalis, is a term applied to the objective study of nature and the physical universe that was regnant before the development of modern science. ... For the food product, see Bologna sausage. ... Theology finds its scholars pursuing the understanding of and providing reasoned discourse of religion, spirituality and God or the gods. ... The Church Fathers or Fathers of the Church are the early and influential theologians and writers in the Christian church, particularly those of the first five centuries of Christian history. ...

References

• This article incorporates text from the Encyclopædia Britannica Eleventh Edition, a publication now in the public domain.
• Larson, Ron; Hostetler, Robert P.; and Edwards, Bruce H. (2003). Calculus of a Single Variable: Early Transcendental Functions (3rd edition). Houghton Mifflin Company. ISBN 0-618-22307-X.
• Mathematics History archive entry for Maria Gaetana Agnesi at the University of Andrews, Scotland
• EUROPEAN MATHEMATICAL SOCIETY,NEWSLETTER No. 31,March 1999, S. 18
• D. J. Struik, editor, A source book in mathematics, 1200-1800 (Princeton University Press, Princeton, New Jersey, 1986), pp. 178-180. ISBN 0-691-08404-1, ISBN 0-691-02397-2 (pbk).

Encyclopædia Britannica, the eleventh edition The Encyclopædia Britannica Eleventh Edition (1910–1911) is perhaps the most famous edition of the Encyclopædia Britannica. ... The public domain comprises the body of all creative works and other knowledge—writing, artwork, music, science, inventions, and others—in which no person or organization has any proprietary interest. ...

Further reading

Wikimedia Commons has media related to:

Maria Gaetana Agnesi

Wikisource has the text of the 1911 Encyclopædia Britannica article Agnesi, Maria Gaetana.

• Kramer, Edna E. (1970). "Agnesi, Maria Gaetana". Dictionary of Scientific Biography 1. New York: Charles Scribner's Sons. 75-77. ISBN 0684101149. 
• Mazzotti, Massimo (2001). "Maria Gaetana Agnesi: Mathematics and the making of the Catholic Enlightenment." Isis. v. 92, n. 4: p. 657-683.
• Mazzotti, Massimo (2007). The world of Maria Gaetana Agnesi, mathematician of God. Baltimore: Johns Hopkins University Press.