Francesco Faà di Bruno (7 March 1825 – 25 March 1888) was an
Italian
Italian(s) may refer to:
* Anything of, from, or related to the people of Italy over the centuries
** Italians, a Romance ethnic group related to or simply a citizen of the Italian Republic or Italian Kingdom
** Italian language, a Romance languag ...
priest
A priest is a religious leader authorized to perform the sacred rituals of a religion, especially as a mediatory agent between humans and one or more deity, deities. They also have the authority or power to administer religious rites; in parti ...
and advocate of the poor, a leading
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
of his era and a noted religious musician. In 1988 he was
beatified
Beatification (from Latin , "blessed" and , "to make") is a recognition accorded by the Catholic Church of a deceased person's entrance into Heaven and capacity to intercede on behalf of individuals who pray in their name. ''Beati'' is the ...
by
Pope John Paul II
Pope John Paul II (born Karol Józef Wojtyła; 18 May 19202 April 2005) was head of the Catholic Church and sovereign of the Vatican City State from 16 October 1978 until Death and funeral of Pope John Paul II, his death in 2005.
In his you ...
.
[See the Vatican News Service, "''Papal Office for Liturgical Celebrations''" .] He is the
eponym
An eponym is a noun after which or for which someone or something is, or is believed to be, named. Adjectives derived from the word ''eponym'' include ''eponymous'' and ''eponymic''.
Eponyms are commonly used for time periods, places, innovati ...
of
Faà di Bruno's formula
Faà di Bruno's formula is an identity in mathematics generalizing the chain rule to higher derivatives. It is named after , although he was not the first to state or prove the formula. In 1800, more than 50 years before Faà di Bruno, the French ...
.
Life
Early life
Faà di Bruno was born in
Alessandria
Alessandria (; ) is a city and commune in Piedmont, Italy, and the capital of the Province of Alessandria. It is also the largest municipality of the region. The city is sited on the alluvial plain between the Tanaro and the Bormida rivers, ...
, then part of the
Kingdom of Sardinia
The Kingdom of Sardinia, also referred to as the Kingdom of Sardinia and Corsica among other names, was a State (polity), country in Southern Europe from the late 13th until the mid-19th century, and from 1297 to 1768 for the Corsican part of ...
, on 7 March 1825. He was of noble birth, being the twelfth and youngest child of the
Marchese Luigi Faà di Bruno and the Lady Carolina Sappa de' Milanesi. He was raised in a home marked by happiness, the arts and a concern for the poor arising from the parents' strong Catholic faith.
As a young man, he entered the Royal Army and held, at one time, the rank of
Staff Officer
A military staff or general staff (also referred to as army staff, navy staff, or air staff within the individual services) is a group of officers, enlisted, and civilian staff who serve the commander of a division or other large milita ...
. He resigned from his commission and went to
Paris
Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
, where he did doctoral studies in mathematics under
Augustin Cauchy
Baron Augustin-Louis Cauchy ( , , ; ; 21 August 1789 – 23 May 1857) was a French mathematician, engineer, and physicist. He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real a ...
, and
Urbain Le Verrier
Urbain Jean Joseph Le Verrier (; 11 March 1811 – 23 September 1877) was a French astronomer and mathematician who specialized in celestial mechanics and is best known for predicting the existence and position of Neptune using only mathematics. ...
, who both shared in the discovery of the planet
Neptune
Neptune is the eighth and farthest known planet from the Sun. It is the List of Solar System objects by size, fourth-largest planet in the Solar System by diameter, the third-most-massive planet, and the densest giant planet. It is 17 t ...
.
[.] He was in close contact with the mathematicians
François-Napoléon-Marie Moigno
Abbé François-Napoléon-Marie Moigno (; 15 April 1804 – 14 July 1884) was a French Catholic priest and one time Jesuit, as well as a physicist and author. He considered himself a student of Cauchy.
Life
Moigno was born at Guémené-sur-Scor ...
and
Charles Hermite
Charles Hermite () FRS FRSE MIAS (24 December 1822 – 14 January 1901) was a French mathematician who did research concerning number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra.
Hermite p ...
.
On his return to Turin, he took up the position of Professor of Mathematics at the local university. In recognition of his achievements as a mathematician, the degree of Doctor of Science was conferred on him by the Universities of Paris and Turin.
[
]
Social reformer
While carrying out his career responsibilities, Faà di Bruno also became actively involved in the social outreach to the poor being developed by leading figures of the Catholic Church in Turin. He became a close friend of John Bosco
John Melchior Bosco, Salesians of Don Bosco, SDB (; ; 16 August 181531 January 1888), popularly known as Don Bosco or Dom Bosco (International Phonetic Alphabet, IPA: ), was an Italian Catholic priest, educator and writer. While working in Tu ...
, and helped establish refuges for the elderly and the poor. He oversaw the construction of a church in Turin, Our Lady of Suffrage.[Pope John Paul II, Message to the Institute of the Minim Sisters of Our Lady of Suffrage, September 2, 2002]
/ref>
Priest and founder
Somewhat late in his life, Faà di Bruno came to feel that pursuing Holy Orders
In certain Christian denominations, holy orders are the ordination, ordained ministries of bishop, priest (presbyter), and deacon, and the sacrament or rite by which candidates are ordained to those orders. Churches recognizing these orders inclu ...
would help him in his religious activities and commenced the necessary studies in theology
Theology is the study of religious belief from a Religion, religious perspective, with a focus on the nature of divinity. It is taught as an Discipline (academia), academic discipline, typically in universities and seminaries. It occupies itse ...
. What he found, however, was that the Archbishop of Turin at that time would not accept an older man for ordination, Faà di Bruno being in his late 40s at that time. For centuries, the traditional route for this profession began in a boy's mid-teens.
Faà di Bruno appealed to Pope Pius IX
Pope Pius IX (; born Giovanni Maria Battista Pietro Pellegrino Isidoro Mastai-Ferretti; 13 May 1792 – 7 February 1878) was head of the Catholic Church from 1846 to 1878. His reign of nearly 32 years is the longest verified of any pope in hist ...
and received his support, finally being ordained at age 51. He founded the Minim Sisters of St. Zita in 1881 to provide help for maids and domestic servants, later expanding its outreach to include others, such as unmarried mothers. With their help, he also established another refuge, one dedicated to taking in prostitute
Prostitution is a type of sex work that involves engaging in sexual activity in exchange for payment. The definition of "sexual activity" varies, and is often defined as an activity requiring physical contact (e.g., sexual intercourse, non-pe ...
s.
Faà di Bruno died in Turin on 25 March 1888.
Veneration
The cause for the canonization
Canonization is the declaration of a deceased person as an officially recognized saint, specifically, the official act of a Christianity, Christian communion declaring a person worthy of public veneration and entering their name in the canon ca ...
of Faà di Bruno opened in the early 20th century by the Archdiocese of Turin and he was declared a Servant of God. His spiritual writings were approved by theologians on 22 May 1935. He was declared Venerable
''The Venerable'' often shortened to Venerable is a style, title, or epithet used in some Christianity, Christian churches. The title is often accorded to holy persons for their spiritual perfection and wisdom.
Catholic
In the Catholic Churc ...
by Pope Paul VI
Pope Paul VI (born Giovanni Battista Enrico Antonio Maria Montini; 26 September 18976 August 1978) was head of the Catholic Church and sovereign of the Vatican City State from 21 June 1963 until his death on 6 August 1978. Succeeding John XXII ...
in 1971, and beatified
Beatification (from Latin , "blessed" and , "to make") is a recognition accorded by the Catholic Church of a deceased person's entrance into Heaven and capacity to intercede on behalf of individuals who pray in their name. ''Beati'' is the ...
by Pope John Paul II
Pope John Paul II (born Karol Józef Wojtyła; 18 May 19202 April 2005) was head of the Catholic Church and sovereign of the Vatican City State from 16 October 1978 until Death and funeral of Pope John Paul II, his death in 2005.
In his you ...
on the centennial of his death in 1988.
In an address to the Minim Sisters in 2002, Pope John Paul II said, ""Francesco Faà di Bruno", I said, is "a giant of faith and charity", for his message of light and love, "far from being exhausted, seems timelier than ever, urging all those who have Gospel values at heart to action"" (Homily, 25 September, n. 4; ORE, 24 October 1988, p. 15).[
]
Research in mathematics
In addition to some ascetical writings, the composition of some sacred melodies, and the invention of some scientific apparatus, Faà di Bruno made numerous and important contributions to mathematics. Today, he is best known for Faà di Bruno's formula
Faà di Bruno's formula is an identity in mathematics generalizing the chain rule to higher derivatives. It is named after , although he was not the first to state or prove the formula. In 1800, more than 50 years before Faà di Bruno, the French ...
on derivatives of composite functions although it is now certain Louis François Antoine Arbogast
Louis François Antoine Arbogast (4 October 1759 – 8 April 1803) was a French mathematician. He was born at Mutzig in Alsace and died at Strasbourg, where he was professor. He wrote on Series (mathematics), series and the Calculus, derivatives ...
had priority for its discovery and use. Faà di Bruno should be credited only for the formula's determinant form. However, his work is mainly related to elimination theory
In commutative algebra and algebraic geometry, elimination theory is the classical name for algorithmic approaches to eliminating some variables between polynomials of several variables, in order to solve systems of polynomial equations.
Classica ...
and to the theory of elliptic function
In the mathematical field of complex analysis, elliptic functions are special kinds of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Those integrals are ...
s.[See and various papers in the volume edited by : particularly the later reference states that he introduced the ]Faà di Bruno's formula
Faà di Bruno's formula is an identity in mathematics generalizing the chain rule to higher derivatives. It is named after , although he was not the first to state or prove the formula. In 1800, more than 50 years before Faà di Bruno, the French ...
to deal with problems in elimination theory.
He was the author of about 40 original articles published in the "Journal de Mathématiques" (edited by Joseph Liouville
Joseph Liouville ( ; ; 24 March 1809 – 8 September 1882) was a French mathematician and engineer.
Life and work
He was born in Saint-Omer in France on 24 March 1809. His parents were Claude-Joseph Liouville (an army officer) and Thérès ...
), Crelle's Journal
''Crelle's Journal'', or just ''Crelle'', is the common name for a mathematics journal, the ''Journal für die reine und angewandte Mathematik'' (in English: ''Journal for Pure and Applied Mathematics'').
History
The journal was founded by A ...
, "American Journal of Mathematics" (Johns Hopkins University
The Johns Hopkins University (often abbreviated as Johns Hopkins, Hopkins, or JHU) is a private university, private research university in Baltimore, Maryland, United States. Founded in 1876 based on the European research institution model, J ...
), " Annali di Tortolini", "Les Mondes", "Comptes rendus de l'Académie des sciences
(, ''Proceedings of the Academy of Sciences''), or simply ''Comptes rendus'', is a French scientific journal published since 1835. It is the proceedings of the French Academy of Sciences. It is currently split into seven sections, published o ...
", etc.; the first half of an exhaustive treatise on the theory and applications of elliptic function
In the mathematical field of complex analysis, elliptic functions are special kinds of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Those integrals are ...
s which he planned to complete in three volumes; "Théorie générale de l'élimination" (Paris, 1859); "Calcolo degli errori" (Turin, 1867), translated into French under the title of "Traité élémentaire du calcul des erreurs" (Paris, 1869); and most important of all, "Théorie des formes binaires" (Paris, 1876), translated into German (Leipzig, 1881). For a list of the memoirs of Faà di Bruno, see the "Catalogue of Scientific Papers of the Royal Society: (London, 1868, 1877, 1891), t. II, vii, and ix.
Among his students were the noted mathematicians Corrado Segre and Giuseppe Peano
Giuseppe Peano (; ; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much Mathematical notati ...
.
Works
''Catholic Belief, Or, A Short And Simple Exposition Of Catholic Doctrine''
London: Burns and Oates, 1884.
See also
*Elimination theory
In commutative algebra and algebraic geometry, elimination theory is the classical name for algorithmic approaches to eliminating some variables between polynomials of several variables, in order to solve systems of polynomial equations.
Classica ...
*Elliptic functions
In the mathematical field of complex analysis, elliptic functions are special kinds of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Those integrals are ...
* Faà di Bruno, for other members of the family
*Faà di Bruno's formula
Faà di Bruno's formula is an identity in mathematics generalizing the chain rule to higher derivatives. It is named after , although he was not the first to state or prove the formula. In 1800, more than 50 years before Faà di Bruno, the French ...
*List of Roman Catholic scientist-clerics
A list is a set of discrete items of information collected and set forth in some format for utility, entertainment, or other purposes. A list may be memorialized in any number of ways, including existing only in the mind of the list-maker, but ...
Notes
References
Biographical and general references
*. "''The mathematical work''" is an essay on mathematical activity, describing both his research and teaching, of Francesco Faà di Bruno.
*. This is a collection of essays, including original documents, related to Francesco Faà di Bruno's scientific work, including his teaching and engineer
Engineers, as practitioners of engineering, are professionals who Invention, invent, design, build, maintain and test machines, complex systems, structures, gadgets and materials. They aim to fulfill functional objectives and requirements while ...
ing activity.
*. Faà di Bruno's "''Opera omnia''".
*. The original article in the Catholic Encyclopedia
''The'' ''Catholic Encyclopedia: An International Work of Reference on the Constitution, Doctrine, Discipline, and History of the Catholic Church'', also referred to as the ''Old Catholic Encyclopedia'' and the ''Original Catholic Encyclopedi ...
whose content was originally included in this entry.
*. This reference and the following one (part two) deal with aspects of the biography of Faà di Bruno other than his scientific achievements.
*. This is part two of a biographical article about Francesco Faà di Bruno, concerning aspects of his life other than his scientific achievements.
*. Available from the website of the.
*. The date of his beatification
Beatification (from Latin , "blessed" and , "to make") is a recognition accorded by the Catholic Church of a deceased person's entrance into Heaven and capacity to intercede on behalf of individuals who pray in their name. ''Beati'' is the p ...
as listed in the Vatican
Vatican may refer to:
Geography
* Vatican City, an independent city-state surrounded by Rome, Italy
* Vatican Hill, in Rome, namesake of Vatican City
* Ager Vaticanus, an alluvial plain in Rome
* Vatican, an unincorporated community in the ...
website.
Scientific references
*. Entirely freely available from Google books
Google Books (previously known as Google Book Search, Google Print, and by its code-name Project Ocean) is a service from Google that searches the full text of books and magazines that Google has scanned, converted to text using optical charac ...
.
*.
*. A well-known paper where Francesco Faà di Bruno presents the two versions of the formula that now bears his name, published in the journal founded by Barnaba Tortolini
Barnaba Tortolini (19 November 1808 – 24 August 1874) was a 19th-century Italian priest and mathematician who played an early active role in advancing the scientific unification of the Italian states. He founded the first Italian scientific ...
. Available free from Google books
Google Books (previously known as Google Book Search, Google Print, and by its code-name Project Ocean) is a service from Google that searches the full text of books and magazines that Google has scanned, converted to text using optical charac ...
.
*. Entirely freely available from Google books
Google Books (previously known as Google Book Search, Google Print, and by its code-name Project Ocean) is a service from Google that searches the full text of books and magazines that Google has scanned, converted to text using optical charac ...
.
*. Entirely freely available from Google books
Google Books (previously known as Google Book Search, Google Print, and by its code-name Project Ocean) is a service from Google that searches the full text of books and magazines that Google has scanned, converted to text using optical charac ...
.
*. One of Faà di Bruno's most important works, highly praised by Paul Gordan
Paul Albert Gordan (27 April 1837 – 21 December 1912) was a German mathematician known for work in invariant theory and for the Clebsch–Gordan coefficients and Gordan's lemma. He was called "the king of invariant theory". His most famous ...
(see his letter to Faà di Bruno on page V).
*.
External links
* The (fairly comprehensive) biographical entry about Francesco Faà di Bruno in the biographies section of the Enciclopedia Treccani
Institute Giovanni Treccani for the publication of the Italian Encyclopedia (), also known as Treccani Institute or simply Treccani, is a cultural institution of national interest, active in the publishing field, founded by Giovanni Treccani a ...
.
*
* . A short biographical sketch, available from the website of
Torinoscienza.it
*
{{DEFAULTSORT:Faa Di Bruno, Francesco
1825 births
1888 deaths
Faa di Bruno
Academic staff of the University of Turin
19th-century Italian mathematicians
19th-century Italian Roman Catholic priests
Faa di Bruno
Catholic clergy scientists
Italian anti-poverty advocates
Founders of Catholic religious communities
Italian beatified people
Beatifications by Pope John Paul II
Scientists from Turin
University of Paris alumni