Corrado Segre
   HOME

TheInfoList



OR:

Corrado Segre (20 August 1863 – 18 May 1924) was an
Italian Italian(s) may refer to: * Anything of, from, or related to the people of Italy over the centuries ** Italians, an ethnic group or simply a citizen of the Italian Republic or Italian Kingdom ** Italian language, a Romance language *** Regional Ita ...
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, structure, space, models, and change. History On ...
who is remembered today as a major contributor to the early development of
algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
.


Early life

Corrado's parents were Abramo Segre and Estella De Benedetti.


Career

Segre developed his entire career at the
University of Turin The University of Turin (Italian: ''Università degli Studi di Torino'', UNITO) is a public research university in the city of Turin, in the Piedmont region of Italy. It is one of the oldest universities in Europe and continues to play an impo ...
, first as a student of
Enrico D'Ovidio Enrico D'Ovidio (1842-1933) was an Italian mathematician who is known by his works on geometry. Life and work D'Ovidio, son of a liberal parents involved in the Italian independence movement, studied at the university of Naples under his uncle ...
. In 1883 he published a dissertation on
quadric In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and hyperbolas). It is a hypersurface (of dimension ''D'') in a -dimensional space, and it is de ...
s in
projective space In mathematics, the concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet ''at infinity''. A projective space may thus be viewed as the extension of a Euclidean space, or, more generally ...
and was named as assistant to professors in algebra and
analytic geometry In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry. Analytic geometry is used in physics and engineerin ...
. In 1885 he also assisted in
descriptive geometry Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and ...
. He began to instruct in projective geometry, as stand-in for Giuseppe Bruno, from 1885 to 1888. Then for 36 years he had the chair in higher geometry following D'Ovidio. 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 notation. The stand ...
made Turin known in geometry, and their complementary instruction has been noted as follows: The
Erlangen program In mathematics, the Erlangen program is a method of characterizing geometries based on group theory and projective geometry. It was published by Felix Klein in 1872 as ''Vergleichende Betrachtungen über neuere geometrische Forschungen.'' It is nam ...
of
Felix Klein Christian Felix Klein (; 25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group ...
appealed early on to Segre, and he became a promulgator. First, in 1885 he published an article on conics in the plane where he demonstrated how group theory facilitated the study. As Hawkins says (page 252) "the totality of all conics in the plane is identified with P5(C)". The group of its projectivities is then the group that permutes conics. About Segre, Hawkins writes The inspiring ''Geometrie der Lage'' (1847) of
Karl Georg Christian von Staudt Karl Georg Christian von Staudt (24 January 1798 – 1 June 1867) was a German mathematician who used synthetic geometry to provide a foundation for arithmetic. Life and influence Karl was born in the Free Imperial City of Rothenburg, which is n ...
provided Segre with another project. He encouraged
Mario Pieri Mario Pieri (22 June 1860 – 1 March 1913) was an Italian mathematician who is known for his work on foundations of geometry. Biography Pieri was born in Lucca, Italy, the son of Pellegrino Pieri and Ermina Luporini. Pellegrino was a lawyer. Pie ...
to make a translation, ''Geometria di Posizione'' (1889), while Segre composed a biographical sketch of von Staudt that was included in the publication. Segre also expanded algebraic geometry by consideration of
multicomplex number In mathematics, the multicomplex number systems \Complex_n are defined inductively as follows: Let C0 be the real number system. For every let ''i'n'' be a square root of −1, that is, an imaginary unit. Then \Complex_ = \lbrace z = x + y ...
s, in particular the
bicomplex number In abstract algebra, a bicomplex number is a pair of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate (w,z)^* = (w, -z), and the product of two bicomplex numbers as :(u,v)(w,z) = (u w - v z, u z ...
s. Segre's 1892 contribution to
Mathematische Annalen ''Mathematische Annalen'' (abbreviated as ''Math. Ann.'' or, formerly, ''Math. Annal.'') is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann. Subsequent managing editors were Felix Klein, David Hilbert, ...
shows him extending the work of
William Rowan Hamilton Sir William Rowan Hamilton Doctor of Law, LL.D, Doctor of Civil Law, DCL, Royal Irish Academy, MRIA, Royal Astronomical Society#Fellow, FRAS (3/4 August 1805 – 2 September 1865) was an Irish mathematician, astronomer, and physicist. He was the ...
and
William Kingdon Clifford William Kingdon Clifford (4 May 18453 March 1879) was an English mathematician and philosopher. Building on the work of Hermann Grassmann, he introduced what is now termed geometric algebra, a special case of the Clifford algebra named in his ...
on
biquaternion In abstract algebra, the biquaternions are the numbers , where , and are complex numbers, or variants thereof, and the elements of multiply as in the quaternion group and commute with their coefficients. There are three types of biquaternions co ...
s. But Segre was unaware of earlier study of tessarines that had anticipated his bicomplex numbers. In English, the best known work of Segre is an inspirational essay meant for Italian students, translated by J.W. Young in 1904. It provides guidance and encouragement to young people studying mathematics. In a 1926 memorial article, H.F. Baker called Segre the "father of" the
Italian school of algebraic geometry In relation to the history of mathematics, the Italian school of algebraic geometry refers to mathematicians and their work in birational geometry, particularly on algebraic surfaces, centered around Rome roughly from 1885 to 1935. There were 30 ...
. The 1912 article "Higher-dimensional Spaces" (''Mehrdimensionale Räume'') for ''Enzyklopädie der mathematischen Wissenschaften'' spanned 200 pages. In admiration, Baker (1926) wrote and Coolidge (1927) reiterated :For completeness of detail, breadth of view, and generous recognition of the work of a host of other writers, this must remain for many years a monument of the comprehensiveness of the man.


Notes


References

* . * . * * * . (see especially pages 455–67) * Pierre Speziale (1975) "Corrado Segre",
Dictionary of Scientific Biography The ''Dictionary of Scientific Biography'' is a scholarly reference work that was published from 1970 through 1980 by publisher Charles Scribner's Sons, with main editor the science historian Charles Gillispie, from Princeton University. It consi ...
, auspices of
American Council of Learned Societies American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, pe ...
. * Livia Giacardi (2001) "The Corrado Segre Archive",
Historia Mathematica ''Historia Mathematica: International Journal of History of Mathematics'' is an academic journal on the history of mathematics published by Elsevier. It was established by Kenneth O. May in 1971 as the free newsletter ''Notae de Historia Mathemat ...
28: 296–301. * Livia Giacardi, 2002, (Ed.) I Quaderni di Corrado Segre, CD-ROM, Dipartimento di matematica, Università di Torino.


External links

* * {{DEFAULTSORT:Segre, Corrado 1863 births 1924 deaths People from Saluzzo 20th-century Italian Jews 19th-century Italian mathematicians 20th-century Italian mathematicians Differential geometers University of Turin alumni Academic staff of the University of Turin Algebraic geometers Italian algebraic geometers 19th-century Italian Jews